The problem of Wielandt on the existence of complements for non-abelian normal subgroups of finite groups is solved. The problem of D. K. Faddeev on the enumeration of finite biprimary groups is solved. The methods for investigation of formations of algebraic systems are developed.
Biography
Graduated from the Faculty of Physics and Mathematics of Gomel Pedagogical Institute in 1959, post-graduate courses of the Mathematics Institute of Academy of Sciences of Belarus in 1962. Ph.D. thesis was defended in 1964. D.Sci. thesis was defended in 1969. A list of my works contains more than 100 titles. Since 1973 I have led the research algebra seminar at F. Scorina Gomel State University.
Corresponding member of the National Academy of Sciences of Belarus.
Main publications:
Shemetkov L. A., “O suschestvovanii $\pi$-dopolnenii k normalnym podgruppam konechnykh grupp”, DAN SSSR, 195:1 (1970), 50–52
Shemetkov L. A., Formatsii konechnykh grupp, Nauka, 1978
Shemetkov L. A., Skiba A. N., Formatsii algebraicheskikh sistem, Nauka, Moskva, 1989
Shemetkov L. A., “On partially saturated formations and residuals of finite groups”, Comm. Algebra, 29:9 (2001), 4125–4137
A. Ballester-Bolinshe, K. Kalvo, L. A. Shemetkov, “O chastichno nasyschennykh formatsiyakh konechnykh grupp”, Matem. sb, 198:6 (2007), 3–24
L. A. Shemetkov, “Supplements to normal subgroups of finite groups”, Algebra Logika, 52:1 (2013), 109–119; Algebra and Logic, 52:1 (2013), 79–86
2.
L. A. Shemetkov, “On the $\mathfrak F$-residual of the direct product of finite groups”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:3 (2013), 316–320
2012
3.
E. P. Vdovin, D. O. Revin, L. A. Shemetkov, “Formations of finite $C_\pi $-groups”, Algebra i Analiz, 24:1 (2012), 40–52; St. Petersburg Math. J., 24:1 (2013), 29–37
4.
M. R. Dixon, V. V. Kirichenko, L. A. Kurdachenko, J. Otal, N. N. Semko, L. A. Shemetkov, I. Ya. Subbotin, “S. N. Chernikov and the development of infinite group theory”, Algebra Discrete Math., 13:2 (2012), 169–208
2010
5.
S. F. Kamornikov, L. A. Shemetkov, “An $\mathfrak X$-crown of a finite soluble group”, Algebra Logika, 49:5 (2010), 591–614; Algebra and Logic, 49:5 (2010), 400–415
6.
L. A. Shemetkov, “Local definitions of formations of finite groups”, Fundam. Prikl. Mat., 16:8 (2010), 229–244; J. Math. Sci., 185:2 (2012), 324–334
7.
Yi Xiaolan, L. A. Shemetkov, “The Formation of Finite Groups with a Supersolvable $\pi$-Hall Subgroup”, Mat. Zametki, 87:2 (2010), 280–286; Math. Notes, 87:2 (2010), 258–263
8.
L. A. Shemetkov, “A note on $\mathfrak{X}$-local formations”, PFMT, 2010, 4(5), 61–62
9.
A. A. Rodionov, L. A. Shemetkov, “On $p$-locally N-closed formations of finite groups”, Tr. Inst. Mat., 18:1 (2010), 92–98
2008
10.
S. F. Kamornikov, L. A. Shemetkov, “On the normalizer of a Gaschütz system of a finite soluble group”, Fundam. Prikl. Mat., 14:8 (2008), 129–136; J. Math. Sci., 166:5 (2010), 655–660
11.
L. A. Shemetkov, Yi Xiaolan, “On the $p$-length of finite $p$-soluble groups”, Tr. Inst. Mat., 16:1 (2008), 93–96
2007
12.
A. Ballester-Bolinches, C. Calvo, L. A. Shemetkov, “On partially saturated formations of finite groups”, Mat. Sb., 198:6 (2007), 3–24; Sb. Math., 198:6 (2007), 757–775
2003
13.
L. A. Shemetkov, “Generalizations of Sylow's theorem”, Sibirsk. Mat. Zh., 44:6 (2003), 1425–1431; Siberian Math. J., 44:6 (2003), 1127–1132
14.
L. A. Shemetkov, “On Huppert's theorem”, Sibirsk. Mat. Zh., 44:1 (2003), 224–231; Siberian Math. J., 44:1 (2003), 184–189
1999
15.
A. N. Skiba, L. A. Shemetkov, “Multiply $\omega$-Local Formations and Fitting Classes of Finite Groups”, Mat. Tr., 2:2 (1999), 114–147; Siberian Adv. Math., 10:2 (2000), 112–141
16.
A. Ballester-Bolinches, L. A. Shemetkov, “On normalizers of Sylow subgroups in finite groups”, Sibirsk. Mat. Zh., 40:1 (1999), 3–5; Siberian Math. J., 40:1 (1999), 1–2
1995
17.
S. F. Kamornikov, L. A. Shemetkov, “On coradicals of subnormal subgroups”, Algebra Logika, 34:5 (1995), 493–513
1984
18.
L. A. Shemetkov, “The product of formations of algebraic systems”, Algebra Logika, 23:6 (1984), 721–729
1976
19.
L. A. Shemetkov, “Factorizaton of nonsimple finite groups”, Algebra Logika, 15:6 (1976), 684–715
1975
20.
L. A. Shemetkov, “Two directions in the development of the theory of non-simple finite groups”, Uspekhi Mat. Nauk, 30:2(182) (1975), 179–198; Russian Math. Surveys, 30:2 (1975), 185–206
1974
21.
L. A. Shemetkov, “Graduated formations of groups”, Mat. Sb. (N.S.), 94(136):4(8) (1974), 628–648; Math. USSR-Sb., 23:4 (1974), 593–611
1972
22.
L. A. Shemetkov, “Formation properties of finite groups”, Dokl. Akad. Nauk SSSR, 204:6 (1972), 1324–1327
1971
23.
S. A. Chunikhin, L. A. Shemetkov, “Finite groups”, Itogi Nauki. Ser. Mat. Algebra. Topol. Geom. 1969, 1971, 7–70; J. Soviet Math., 1:3 (1973), 291–332
1970
24.
L. A. Shemetkov, “The existence of $\Pi$-complements to normal subgroups of finite groups”, Dokl. Akad. Nauk SSSR, 195:1 (1970), 50–52
1969
25.
L. A. Shemetkov, “On the theory of finite groups”, Mat. Zametki, 6:3 (1969), 347–360; Math. Notes, 6:3 (1969), 664–671
26.
L. A. Shemetkov, “On a D. K. Faddeev theorem on finite resolvable groups”, Mat. Zametki, 5:6 (1969), 665–668; Math. Notes, 5:6 (1969), 398–399
1968
27.
L. A. Shemetkov, “Factorization of finite groups”, Dokl. Akad. Nauk SSSR, 178:3 (1968), 559–562
28.
L. A. Shemetkov, “On finite solvable groups”, Izv. Akad. Nauk SSSR Ser. Mat., 32:3 (1968), 533–559; Math. USSR-Izv., 2:3 (1968), 487–513
29.
L. A. Shemetkov, “Sylow properties of finite groups”, Mat. Sb. (N.S.), 76(118):2 (1968), 271–287; Math. USSR-Sb., 5:2 (1968), 261–274
1967
30.
L. A. Shemetkov, “On partially soluble finite groups”, Mat. Sb. (N.S.), 72(114):1 (1967), 97–107; Math. USSR-Sb., 1:1 (1967), 83–92
1966
31.
L. A. Shemetkov, “Normal structure of finite groups”, Dokl. Akad. Nauk SSSR, 167:3 (1966), 534–537
1965
32.
L. A. Shemetkov, “A new $D$-theorem in the theory of finite groups”, Dokl. Akad. Nauk SSSR, 160:2 (1965), 290–293
33.
L. A. Shemetkov, “$D$-structure of finite groups”, Mat. Sb. (N.S.), 67(109):3 (1965), 384–407
1963
34.
L. A. Shemetkov, “Finite groups with an invariance condition for certain subgroups”, Sibirsk. Mat. Zh., 4:5 (1963), 1175–1183
1962
35.
L. A. Shemetkov, “On a theorem of Hall”, Dokl. Akad. Nauk SSSR, 147:2 (1962), 321–322
36.
L. A. Shemetkov, “Imbedding theorems and maximal subgroups of finite groups”, Dokl. Akad. Nauk SSSR, 147:1 (1962), 53–56
2012
37.
Yu. A. Drozd, V. V. Kirichenko, L. A. Kurdachenko, F. M. Lyman, M. O. Perestyuk, A. P. Petravchuk, A. M. Samoilenko, M. M. Semko, L. A. Shemetkov, I. Ya. Subbotin, V. I. Sushchansky, V. V. Sharko, “To the 100$^{th}$ anniversary of the birth of Sergei Nikolaevich Chernikov”, Algebra Discrete Math., 13:2 (2012), C–F
2009
38.
A. Ballester-Bolinches, R. I. Grigorchuk, M. R. Dixon, Yu. A. Drozd, V. V. Kirichenko, J. Otal, M. A. Perestyuk, A. P. Petravchuk, N. V. Polyakov, A. M. Samoilenko, N. N. Semko, V. V. Sharko, L. A. Shemetkov, A. N. Skiba, I. Ya. Subbotin, V. I. Sushchansky, E. I. Zel'manov, “Leonid A. Kurdachenko: to the 60th birthday”, Algebra Discrete Math., 2009, 4, E–H
2007
39.
V. I. Andriychuk, V. A. Artamonov, V. M. Babych, O. O. Bezushchak, V. M. Bondarenko, M. A. Dokuchaev, Yu. A. Drozd, V. M. Futornyi, M. F. Gorodniy, R. I. Grigorchuk, N. M. Gubareni, P. M. Gudivok, A. I. Kashu, M. Komarnytskyi, L. A. Kurdachenko, F. M. Lyman, V. V. Lyubashenko, V. S. Mazorchuk, V. V. Nekrashevych, B. V. Novikov, A. S. Oliynyk, A. Yu. Ol'shanskii, S. A. Ovsienko, M. O. Perestyuk, A. P. Petravchuk, V. M. Petrychkovych, A. M. Samoilenko, M. M. Semko, V. V. Sergeichuk, V. V. Sharko, L. A. Shemetkov, I. P. Shestakov, V. I. Sushchansky, P. D. Varbanets, E. I. Zel'manov, V. N. Zhuravlyov, “Vladimir Kirichenko (on his 65th birthday)”, Algebra Discrete Math., 2007, 4, E–H
40.
V. A. Artamonov, O. E. Bezushchak, Yu. A. Drozd, V. M. Futornyi, R. I. Grigorchuk, A. I. Kashu, V. V. Kirichenko, M. Komarnytskyi, L. A. Kurdachenko, Yu. A. Lavrenyuk, V. V. Nekrashevych, B. V. Novikov, A. S. Oliynyk, A. Yu. Ol'shanskii, M. O. Perestyuk, M. Sapir, L. A. Shemetkov, I. P. Shestakov, E. I. Zel'manov, “Vitaliy Sushchansky (on his 60th birthday)”, Algebra Discrete Math., 2007, 2, E–F
2006
41.
V. A. Artamonov, Yu. A. Drozd, Ya. M. Dymarsky, V. M. Futornyi, R. I. Grigorchuk, A. I. Kashu, V. V. Kirichenko, M. Ya Komarnytskyi, L. A. Kurdachenko, V. V. Lyubashenko, I. A. Mikhailova, B. V. Novikov, A. P. Petravchuk, A. B. Popov, L. A. Shemetkov, I. P. Shestakov, V. I. Sushchansky, P. D. Varbanets, A. V. Zhuchok, “V. M. Usenko (1951–2006)”, Algebra Discrete Math., 2006, 2, G–K
1988
42.
Yu. L. Ershov, D. I. Zaitsev, A. I. Kostrikin, N. N. Krasovskii, Yu. A. Mitropol'skii, V. P. Platonov, D. K. Faddeev, L. A. Shemetkov, “Sergei Nikolaevich Chernikov (obituary)”, Uspekhi Mat. Nauk, 43:2(260) (1988), 125–126; Russian Math. Surveys, 43:2 (1988), 153–155
1987
43.
V. S. Monakhov, L. A. Shemetkov, “Tenth All-Union Symposium on Group Theory”, Uspekhi Mat. Nauk, 42:6(258) (1987), 211–214
1976
44.
M. I. Kravchuk, S. A. Chunikhin, L. A. Shemetkov, “All-Union Algebra Symposium in the City of Gomel”, Uspekhi Mat. Nauk, 31:3(189) (1976), 239–242
1967
45.
A. I. Mal'tsev, S. A. Safonov, S. N. Chernikov, L. A. Shemetkov, “Sergei Antonovich Chunikhin (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 22:2(134) (1967), 189–197; Russian Math. Surveys, 22:2 (1967), 162–170
1966
46.
S. A. Safonov, L. A. Shemetkov, “S. A. Chunikhin, Subgroups of finite groups (review)”, Uspekhi Mat. Nauk, 21:1(127) (1966), 228–229
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