A. V. Vasil'ev, V. D. Mazurov, “Minimal permutation representations of finite simple orthogonal groups”, Algebra and Logic, 33:6 (1995), 337–350
A. V. Vasil'ev, “Minimal permutation representations of finite simple exceptional groups of twisted type”, Algebra and Logic, 37:1 (1998), 9–20
A. V. Vasil'ev, “On connection between the structure of a finite group and the properties of Its prime graph”, Siberian Math. J., 46:3 (2005), 396–404
A. V. Vasil'ev, M. A. Grechkoseeva, V. D. Mazurov, “Characterization of the finite simple groups by spectrum and order”, Algebra and Logic, 48:6 (2009), 385–409
A. V. Vasil'ev, “On finite groups isospectral to simple classical groups”, J. Algebra, 423 (2015), 318-374
M. A. Grechkoseeva and A. V. Vasilev, “On the structure of finite groups isospectral to finite simple groups”, J. Group Theory, 18:5 (2015), 741–759
E. K. Brusyanskaya, A. A. Klyachko A.A., and A. V. Vasil'ev, “What do Frobenius's, Solomon's, and Iwasaki's theorems on divisibility in groups have in common?”, Pacific J. Math., 302:2 (2019), 437–452
I. Ponomarenko and A. Vasil'ev, “Two-closures of supersolvable permutation groups in polynomial time”, Comput. Complexity, 29:1 (2020), Paper No. 5, 33 pp
A. V. Vasil'ev and P.-H. Zieschang, “Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes”, J. Algebra, 594 (2022), 733–750
T. Li, A. R. Moghaddamfar, A. V. Vasil'ev, Zh. Wang, “On recognition of the direct squares of the simple groups with abelian Sylow 2-subgroups”, Ricerche Mat., 74 (2025), 61–78
2.
Ch. Wan, A. V. Vasil'ev, D. O. Revin, “On the almost simple automorphism groups of rank 3 graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 31, no. 1, 2025, 36–52
3.
M. A. Grechkoseeva, A. V. Vasil'ev, “On finite groups isospectral to groups with abelian Sylow 2-subgroups”, Sib. elektron. matem. izv., 22:1 (2025), 169–178
4.
J. Guo, I. Ponomarenko, A. V. Vasil'ev, “On multivalued groups of order 3”, Sci. China Math., 68:8 (2025), 1969-1978
5.
I. Ponomarenko, S. V. Skresanov, A. V. Vasil'ev, “Closures of permutation groups with restricted nonabelian composition factors”, Bull. Math. Sci., 15:2 (2025), 2550012 (26 pages)
6.
A-M. Liu, A. V. Vasil'ev, “The structure of a finite group and the maximum $\pi$-index of its elements”, Comm. Algebra, 2025 (Published online)
7.
J. Guo, A. V. Vasil'ev, R. Wang, “The automorphism groups of small affine rank 3 graphs”, Commun. Math. Stat,, 2025 (Published online)
2024
8.
I. Ponomarenko, A. V. Vasil'ev, “On computing the closures of solvable permutation groups”, Internat. J. Algebra Comput., 34:1 (2024), 137–145;
9.
Yu. L. Ershov, S. S. Goncharov, A. V. Vasil'ev, M. A. Grechkoseeva, P. S. Kolesnikov, N. S. Romanovskii, A. N. Ryaskin, E. I. Khukhro, “Victor Danilovich Mazurov (on his 80-th birthday)”, Sib. elektron. matem. izv., 21:1 (2024), 266–270
2023
10.
M. A. Grechkoseeva, V. D. Mazurov, W. Shi, A. V. Vasil'ev, and N. Yang, “Finite groups isospectral to simple groups”, Commun. Math. Stat., 11:2 (2023), 169–194
J. Guo, W. Guo, G.Ryabov, A. V. Vasil'ev, “On Cayley representations of central Cayley graphs over almost simple groups”, J. Algebraic Combin., 57:1 (2023), 227-237
N. Yang, I. Gorshkov, A. Staroletov, A. V. Vasil'ev, “On recognition of direct powers of finite simple linear groups by spectrum”, Ann. Mat. Pura Appl., 202:6 (2023), 2699–2714
13.
W. Guo, D. O. Revin, A. V. Vasil'ev, “On embedding theorems for $\mathfrak{X}$-subgroups”, Arch. Math., 121 (2023), 11-21
A. V. Vasil'ev, I. B. Gorshkov, “On $p$-index extremal groups”, Algebra and Logic, 62:1 (2023), 94–99
2022
15.
Yu. L. Ershov, S. S. Goncharov, A. V. Vasil'ev, M. A. Grechkoseeva, P. S. Kolesnikov, N. S. Romanovskii, A. N. Ryaskin, E. I. Khukhro, “Viktor Danilovich Mazurov (on his 80th birthday)”, Algebra and Logic, 61:6 (2022), 545
16.
A. V. Vasil'ev and P.-H. Zieschang, “Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes”, J. Algebra, 594 (2022), 733–750
M. A. Grechkoseeva and A. V. Vasil'ev, “On the prime graph of a finite group with unique nonabelian composition factor”, Comm. Algebra, 50:8 (2022), 3447–3452
E. A. O'Brien, I. Ponomarenko, A. V. Vasil'ev and E. Vdovin, “The 3-closure of a solvable permutation group is solvable”, J. Algebra, 607 (2022), 618–637
A. V. Vasil’ev, M. A. Zvezdina, D. V. Churikov, “The size of a minimal generating set for primitive 3/2-transitive groups”, Sib. Math. J., 63:6 (2022), 1041–1048
20.
Zh. Wang, A. V. Vasil'ev, M. A. Grechkoseeva, A. Kh. Zhurtov, “A criterion for nonsolvability of a finite group and recognition of direct squares of simple groups”, Algebra and Logic, 61:4 (2022), 288–300
21.
Yu. L. Ershov, S. S. Goncharov, V. D. Mazurov, V. G. Bardakov, N. V. Bayanova, V. V. Bludov, L. A. Bokut', S. V. Varaksin, A. V. Vasil'ev, E. P. Vdovin, M. A. Grechkoseeva, A. V. Zenkov, P. S. Kolesnikov, L. L. Maksimova, I. A. Mal'tsev, A. S. Morozov, N. A. Peryazev, A. G. Pinus, K. N. Ponomarev, A. M. Popova, V. N. Remeslennikov, V. A. Roman'kov, N. S. Romanovskii, E. I. Timoshenko, V. A. Churkin, I. P. Shestakov, “In memory of Valeriy Matveevich Kopytov”, Algebra Logika, 61:6 (2022), I–IV
2021
22.
A. V. Vasilev, I. N. Ponomarenko, “The closures of wreath products in product action”, Algebra and Logic, 60:3 (2021), 188–195
23.
G. Chen, J. He, I. Ponomarenko, and A.Vasil'ev, “A characterization of exceptional pseudocyclic association schemes by multidimensional intersection numbers”, Ars Math. Contemp., 21:1 (2021), 10 , 18 pp.
R. R. Bildanov, V. A. Goryachenko, A. V. Vasil'ev, “Factoring nonabelian finite groups into two subsets”, Sib. elektron. matem. izv., 17 (2020), 683–689
M. L. Lewis, J. Mirzajani, A. R. Moghaddamfar, A. V. Vasil'ev, and M. A. Zvezdina, “Simple Groups Whose Gruenberg-Kegel Graph or Solvable Graph is Split”, Bull. Malays. Math. Sci. Soc., 43:3 (2020), 2523–2547
N. Yang, M. A. Grechkoseeva and A. V. Vasil'ev, “On the nilpotency of the solvable radical of a finite group isospectral to a simple group”, J. Group Theory, 23:3 (2020), 447–470
I. Ponomarenko and A. Vasil'ev, “Two-closures of supersolvable permutation groups in polynomial time”, Comput. Complexity, 29:1 (2020), Paper No. 5, 33 pp
L. D. Beklemishev, A. V. Vasil'ev, E. P. Vdovin, S. S. Goncharov, V. V. Kozlov, P. S. Kolesnikov, V. D. Mazurov, Yu. V. Matiyasevich, A. S. Morozov, A. N. Parshin, V. G. Puzarenko, M. V. Schwidefsky, “Yurii Leonidovich Ershov (on his 80th birthday)”, Russian Math. Surveys, 75:3 (2020), 581–585
2019
30.
A. V. Vasil'ev, D. V. Churikov, “The $2$-closure of a $\frac32$-transitive group in polynomial time”, Siberian Math. J., 60:2 (2019), 279–290
31.
M. A. Grechkoseeva, A. V. Vasil'ev, and M. A. Zvezdina, “On recognition of symplectic and orthogonal groups of small dimensions by spectrum”, J. Algebra Appl., 18:12 (2019), 1950230, 33 pp
E. K. Brusyanskaya, A. A. Klyachko A.A., and A. V. Vasil'ev, “What do Frobenius's, Solomon's, and Iwasaki's theorems on divisibility in groups have in common?”, Pacific J. Math., 302:2 (2019), 437–452
Yu. L. Ershov, S. S. Goncharov, V. D. Mazurov, B. S. Baizhanov, B. Sh. Kulpeshov, P. E. Alaev, A. V. Vasil'ev, E. V. Vasil'ev, E. P. Vdovin, V. V. Verbovskii, A. A. Vikent'ev, D. Yu. Vlasov, M. A. Grechkoseeva, V. N. Zhelyabin, P. S. Kolesnikov, V. M. Kopytov, L. L. Maksimova, I. A. Mal'tsev, A. S. Morozov, A. A. Nikitin, E. V. Ovchinnikova, S. P. Odintsov, D. E. Pal'chunov, N. A. Peryazev, A. G. Pinus, L. N. Pobedin, A. P. Pozhidaev, B. Poizat, V. G. Puzarenko, D. O. Revin, V. N. Remeslennikov, N. S. Romanovskii, A. N. Ryaskin, S. S. Starchenko, A. A. Stepanova, S. V. Sudoplatov, E. I. Timoshenko, D. A. Tusupov, N. G. Khisamiev, V. A. Churkin, Z. Chatzidakis, M. V. Schwidefsky, K. M. Shegirov, I. P. Shestakov, “Evgenii Andreevich Palyutin (1945–2018)”, Sib. Èlektron. Mat. Izv., 16 (2019), 1–10
2018
35.
A. A. Buturlakin, D. O. Revin, and A. V. Vasil'ev, “Groups with bounded centralizer chains and the Borovik-Khukhro conjecture”, J. Group Theory, 21:6 (2018), 1095–1110
36.
J. Math. Sci., 234:2 (2018), 219–236
2017
37.
I. Ponomarenko and A. Vasil'ev, “Cartan coherent configurations”, J. Algebraic Combin., 45:2 (2017), 525-552
A. V. Vasil'ev, M. A. Grechkoseeva, “Recognition by spectrum for simple classical groups in characteristic $2$”, Siberian Math. J., 56:6 (2015), 1009–1018
41.
A. V. Vasil'ev, “On finite groups isospectral to simple classical groups”, J. Algebra, 423 (2015), 318-374
S. S. Goncharov, V. D. Mazurov, L. L. Maksimova, A. S. Morozov, E. P. Vdovin, A. V. Vasil'ev, E. A. Palyutin, A. A. Nikitin, M. V. Schwidefsky, L. A. Bokut', I. P. Shestakov, E. I. Khukhro, “Yurii Leonidovich Ershov (on the occasion of his 75th birthday)”, Sibirsk. Mat. Zh., 56:3 (2015), 477–480
44.
A. V. Vasil'ev, A. M. Staroletov, “Almost recognizability by spectrum of simple exceptional groups of Lie type”, Algebra and Logic, 53:6 (2015), 433–449
2014
45.
A. A. Buturlakin, A. V. Vasil'ev, “On constructive recognition of finite simple groups by element orders”, Algebra and Logic, 53:4 (2014), 349–351
46.
I. Ponomarenko and A. Vasil'ev, “On non-abelian Schur groups”, J. Algebra Appl., 13:8 (2014), 1450055, 22 pp
A. A. Buturlakin, A. V. Vasil'ev, “Locally finite groups with bounded centralizer chains”, Algebra and Logic, 52:5 (2013), 367–370
48.
A. V. Vasil'ev, A. M. Staroletov, “Recognizability of groups $G_2(q)$ by spectrum”, Algebra and Logic, 52:1 (2013), 1–14
49.
P. E. Alaev, O. V. Bogopolski, A. V. Vasil'ev, S. S. Goncharov, Yu. L. Ershov, V. D. Mazurov, L. L. Maksimova, A. S. Morozov, S. P. Odintsov, D. E. Palchunov, V. G. Puzarenko, V. V. Rybakov, K. L. Rychkov, A. N. Ryaskin, I. A. Taimanov, A. S. Filyurin, D. G. Khramtsov, V. A. Churkin, “Sergei Ilyich Mardaev (6.04.1962–10.04.2013)”, Sib. Èlektron. Mat. Izv., 10 (2013), 30–34
50.
A. V. Vasil'ev, E. P. Vdovin, E. I. Khukhro, “Victor Danilovich Mazurov (on his 70-th birthday)”, Sib. elektron. matem. izv., 10 (2013), 7–12
51.
A. V. Vasil'ev, E. P. Vdovin, E. I. Khukhro, “Viktor Danilovich Mazurov (on the occasion of his 70th birthday)”, Sibirsk. Mat. Zh., 54:1 (2013), 3–7
2011
52.
A. V. Vasil'ev, E. P. Vdovin, “Cocliques of maximal size in the prime graph of a finite simple group”, Algebra and Logic, 50:4 (2011), 291–322
53.
A. V. Vasil'ev, M. A. Grechkoseeva, A. M. Staroletov, “On finite groups isospectral to simple linear and unitary groups”, Siberian Math. J., 52:1 (2011), 30–40
2009
54.
A. V. Vasil'ev, M. A. Grechkoseeva, V. D. Mazurov, “Characterization of the finite simple groups by spectrum and order”, Algebra and Logic, 48:6 (2009), 385–409
55.
A. V. Vasil'ev, “On Thompson's Conjecture”, Sib. elektron. matem. izv., 6 (2009), 457–464
A. V. Vasil'ev, M. A. Grechkoseeva, V. D. Mazurov, “On finite groups isospectral to simple symplectic and orthogonal groups”, Siberian Math. J., 50:6 (2009), 965–981
57.
A. V. Vasil'ev, I. B. Gorshkov, “On recognition of finite simple groups with connected prime graph”, Siberian Math. J., 50:2 (2009), 233–238
58.
A. V. Vasil'ev, I. B. Gorshkov, M. A. Grechkoseeva, A. S. Kondrat'ev, A. M. Staroletov, “On recognizability by spectrum of finite simple groups of types $B_n$, $C_n$, and ${}^2D_n$ for$n=2^k$”, Proc. Steklov Inst. Math. (Suppl.), 267, suppl. 1 (2009), S218–S233
2008
59.
A. V. Vasil'ev, M. A. Grechkoseeva, “Recognition by spectrum for finite simple linear groups of small dimensions over fields of characteristic 2”, Algebra and Logic, 47:5 (2008), 314–320
60.
M. A. Grechkoseeva, W. Shi and A. V. Vasilev, “Recognition by spectrum for finite simple groups of Lie type”, Front. Math. China, 3:2 (2008), 275–285
G. Y. Chen, V. D. Mazurov, W. J. Shi, A. V. Vasil'ev, and A.Kh. Zhurtov, “Recognition of the finite almost simple groups $PGL_2(q)$ by their spectrum”, J. Group Theory, 10 (2007), 71–85
A. V. Vasil'ev, E. P. Vdovin, “An Adjacency Criterion for the Prime Graph of a Finite Simple Group”, Algebra and Logic, 44:6 (2005), 381–406
64.
M. A. Grechkoseeva, M. S. Lucido, V. D. Mazurov, A. R. Moghaddamfar, A. V. Vasil'ev, “On recognition of the projective special linear groups over binary fields”, Sib. elektron. matem. izv., 2 (2005), 253–263
A. V. Vasil'ev, M. A. Grechkoseeva, “On recognition by spectrum of finite simple linear groups over fields of characteristic 2”, Siberian Math. J., 46:4 (2005), 593–600
66.
A. V. Vasil'ev, “On connection between the structure of a finite group and the properties of Its prime graph”, Siberian Math. J., 46:3 (2005), 396–404
67.
A. V. Vasil'ev, “On recognition of all finite nonabelian simple groups with orders having prime divisors at most 13”, Siberian Math. J., 46:2 (2005), 246–253
2004
68.
A. V. Vasil'ev, M. A. Grechkoseeva, V. D. Mazurov, Kh. P. Chao, G. Yu. Chen, W. Shi, “Recognition of the finite simple groups $F_4(2^m)$ by spectrum”, Siberian Math. J., 45:6 (2004), 1031–1035
69.
A. V. Vasil'ev, M. A. Grechkoseeva, “On recognition of the finite simple orthogonal groups of dimension $2^m$, $2^m+1$ and $2^m+2$ over a field of characteristic 2”, Siberian Math. J., 45:3 (2004), 420–432
2002
70.
A. V. Vasil'ev, “Recognizing Groups $G_2(3^n)$ by Their Element Orders”, Algebra and Logic, 41:2 (2002), 74–80
1998
71.
A. V. Vasil'ev, “Minimal permutation representations of finite simple exceptional groups of twisted type”, Algebra and Logic, 37:1 (1998), 9–20
1997
72.
A. V. Vasil'ev, “Minimal permutation representations of finite simple exceptional groups of types $E_6$, $E_7$ and $E_8$”, Algebra and Logic, 36:5 (1997), 302–310
1996
73.
A. V. Vasil'ev, “Minimal permutation representations of finite simple exceptional groups of types $G_2$ and $F_4$”, Algebra and Logic, 35:6 (1996), 371–383
1995
74.
A. V. Vasil'ev, V. D. Mazurov, “Minimal permutation representations of finite simple orthogonal groups”, Algebra and Logic, 33:6 (1995), 337–350
2025