group,
solvable,
nilpotent length,
the derived length,
factorizable group,
graph of finite groups,
subgroup,
normal subgroup,
formation,
a Fitting class,
Schunck class.
UDC:
512.542
Subject:
Cofactors subgroups of finite groups.
Main publications:
I.V. Lemeshev, “O konechnykh gruppakh s razlozhimymi kofaktorami maksimalnykh podgrupp”, XIV Respublikanskaya nauchnaya konferentsiya studentov i aspirantov “Novye matematicheskie metody i kompyuternye tekhnologii v proektirovanii, proizvodstve i nauchnykh issledovaniyakh” (Gomel, 2011, mart 21–23), т. 1, Gomel, 2011, 21–22
I. V. Lemeshev, “On Finite Groups with $p$-Decomposable Cofactors of Subgroups”, Mat. Zametki, 92:3 (2012), 440–446; Math. Notes, 92:3 (2012), 396–401
2.
I. V. Lemeshev, V. S. Monakhov, “The solvability criteria for finite groups with restrictions on cofactors of maximal sugroups”, PFMT, 2012, no. 2(11), 88–94
I. V. Lemeshev, V. S. Monakhov, “On the solvability of some finite primitive groups”, PFMT, 2012, no. 1(10), 87–91
2011
4.
I. V. Lemeshev, V. S. Monakhov, “On the solvability of finite groups with given cofactors of the maximal subgroups”, Tr. Inst. Mat., 19:2 (2011), 60–68
5.
I. V. Lemeshev, V. S. Monakhov, “Finite groups with decomposable cofactors of maximal subgroups”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:4 (2011), 181–188
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