A class of generalized supersoluble groups.
A nilpotent ideal in the Lie rings with automorphism of prime order.
A non-commutative free algebra of rank 0
A note on barely transitive permutation groups satisfying
A note on groups with few isomorphism classes of subgroups
The structure of infinite groups in which any two (proper) subgroups of the same cardinality are isomorphic is described within the universe of locally graded groups. The corresponding problem for finite groups was considered by R. Armstrong (1958).
A remark about central automorphisms of groups
Almost fixed-point-free automorphisms of prime order
Let ϕ be an automorphism of prime order p of the group G with C G(ϕ) finite of order n. We prove the following. If G is soluble of finite rank, then G has a nilpotent characteristic subgroup of finite index and class bounded in terms of p only. If G is a group with finite Hirsch number h, then G has a soluble characteristic subgroup of finite index in G with derived length bounded in terms of p and n only and a soluble characteristic subgroup of finite index in G whose index and derived length are...
Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. - II
Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. - I
Automorphisms of the semigroup of finite complexes of locally finite groups.