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 Tr. Inst. Mat., 2011, Volume 19, Number 2, Pages 60–68 (Mi timb151)

On the solvability of finite groups with given cofactors of the maximal subgroups

I. V. Lemeshev, V. S. Monakhov

Francisk Skorina Gomel State University

Abstract: We consider a finite group such that the cofactor of every maximal subgroup is either group of odd order, or nilpotent group, or group with cyclic Sylow subgroups. The solvability of such group is obtained.

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UDC: 512.542

Citation: 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

Citation in format AMSBIB
\Bibitem{LemMon11} \by I.~V.~Lemeshev, V.~S.~Monakhov \paper On the solvability of finite groups with given cofactors of the maximal subgroups \jour Tr. Inst. Mat. \yr 2011 \vol 19 \issue 2 \pages 60--68 \mathnet{http://mi.mathnet.ru/timb151}