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
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
2.
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
3.
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
4.
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
5.
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
6.
A. V. Vasil'ev, “Minimal permutation representations of finite simple exceptional groups of twisted type”, Algebra and Logic, 37:1 (1998), 9–20
7.
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
8.
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
9.
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
10.
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
11.
A. V. Vasil'ev, “On finite groups isospectral to simple classical groups”, J. Algebra, 423 (2015), 318-374
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
14.
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
A. V. Vasil'ev, A. M. Staroletov, “Recognizability of groups $G_2(q)$ by spectrum”, Algebra and Logic, 52:1 (2013), 1–14
16.
A. V. Vasil'ev, V. D. Mazurov, “Minimal permutation representations of finite simple orthogonal groups”, Algebra and Logic, 33:6 (1995), 337–350
17.
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
18.
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
19.
A. V. Vasil'ev, “Recognizing Groups $G_2(3^n)$ by Their Element Orders”, Algebra and Logic, 41:2 (2002), 74–80
20.
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
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
22.
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
23.
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
24.
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
25.
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
26.
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
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
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
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
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
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
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. Vasilev, I. N. Ponomarenko, “The closures of wreath products in product action”, Algebra and Logic, 60:3 (2021), 188–195
39.
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
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
42.
A. A. Buturlakin, A. V. Vasil'ev, “Locally finite groups with bounded centralizer chains”, Algebra and Logic, 52:5 (2013), 367–370
43.
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
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
45.
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
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
49.
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
A. V. Vasil'ev, I. B. Gorshkov, “On $p$-index extremal groups”, Algebra and Logic, 62:1 (2023), 94–99
52.
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.
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
A. V. Vasil'ev, S. V. Skresanov, “On L. G.Kovàcs' problem”, Algebra and Logic, 55:4 (2016), 340–344
56.
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
57.
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
58.
J. Guo, I. Ponomarenko, A. V. Vasil'ev, “On multivalued groups of order 3”, Sci. China Math., 68:8 (2025), 1969-1978
59.
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)
60.
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)
61.
J. Guo, A. V. Vasil'ev, R. Wang, “The automorphism groups of small affine rank 3 graphs”, Commun. Math. Stat,, 2025 (Published online)
62.
I. Ponomarenko, A. V. Vasil'ev, “On computing the closures of solvable permutation groups”, Internat. J. Algebra Comput., 34:1 (2024), 137–145;
63.
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
64.
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
65.
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
66.
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
67.
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
68.
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
69.
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
70.
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
71.
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
72.
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
73.
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
74.
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
