I. V. Lemeshev, V. S. Monakhov, “The solvability criteria for finite groups with restrictions on cofactors of maximal sugroups”, PFMT, 2012, Issue 2(11),Pages <nobr>88

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MATHEMATICS

The solvability criteria for finite groups with restrictions on cofactors of maximal sugroups

I. V. Lemeshev, V. S. Monakhov

F. Skorina Gomel State University, Gomel

Abstract: The solvability of a finite group whose cofactors of maximal subgroups is supersolvable and satisfy some additional restrictions is established.

Keywords: finite group, solvable group, supersoluble group, maximal subgroup, cofactor.

UDC: 512.542

Received: 11.01.2012