Finite nondispersible groups all subgroups of which with nonprimary index are metacyclic

We describe the structure of finite nondispersible groups all subgroups of which with nonprimary index are metacyclic.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 6, pp. 755–759, June, 1995.     

Finite p-groups whose nonnormal subgroups are metacyclic

For an odd prime p, we give a criterion for finite p-groups whose nonnormal subgroups are metacyclic, and based on the criterion, the p-groups whose nonnormal subgroups are metacyclic are classified up to isomorphism. This solves a problem proposed by Berkovich.     

Finite p-groups all of whose non-abelian proper subgroups are metacyclic

In this paper, we classify the finite p-groups all of whose non-abelian proper subgroups are metacyclic and answer a question posed by Berkovich. Received: 22 June 2005     

Finite subgroups of hyperbolic groups

Let G be a hyperbolic group which is -thin w.r.t. a finite generating set X. We show that every finite subgroup of G is conjugate to a subgroup each element of which has length at most 2 + 1relative to X. Translated fromAlgebra i Logika, Vol. 34, No. 6, pp. 619-622, November-December, 1995.Supported by RFFR grant No. 93-11-1501 and by ISF grant RPC000.Supported by RFFR grant No. 93-011-16171.     

Finite groups withf-abnormal orf-subnormal subgroups

Translated from Matematicheskie Zametki, Vol. 55, No. 6, pp. 111–115, June, 1994.     

Finite groups with non-nilpotent maximal subgroups

In this paper, the structure of a finite group under group theoretic restrictions on its non-nilpotent subgroups has been investigated.     

Finite groups with S-permutable n-minimal subgroups

We study the supersolvability of finite groups and the nilpotent length of finite solvable groups under the assumption that all their exactly n-minimal subgroups are S-permutable, where n is an arbitrary integer.     

Finite groups with two noncomplemented subgroups

Mathematical Notes - The finite groups containing exactly two noncomplemented subgroups are described.