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
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
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
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
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
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
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
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
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$^{\rm{th}}$ 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, no. 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, no. 4, E–H
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, no. 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, no. 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
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