AbstractLet r be a prime and suppose the r-group R acts as a group of automorphisms on the r′-group G. We study the RCG(R)-invariant subgroups of G and how they influence the structure of G. An application to the study of the automorphism group of a simple group is presented
AbstractFor a group class X, a group G is said to be a CX-group if the factor group G/CG(gG)∈X for a...
AbstractLet R be a cyclic group of prime order which acts on the extraspecial group F in such a way ...
AbstractIt is shown that if G is a finite group of degree preserving automorphisms of R, the ring of...
AbstractLet r be a prime and suppose the r-group R acts as a group of automorphisms on the r′-group ...
Let R be a group of prime order r that acts on the r'-group G, let RG be the semidirect product of G...
AbstractWe show that certain properties of groups of automorphisms can be read off from the actions ...
AbstractThroughout, all rings R will be commutative with identity element. In this paper we introduc...
AbstractThis paper offers an exhaustive study of certain 2-signalizers in known non-sporadic finite ...
summary:Let $\alpha $ and $\beta $ be automorphisms of a nilpotent $p$-group $G$ of finite rank. Sup...
AbstractThe subgroup structure of a finite group G can be quite complex. However, in the presence of...
AbstractLetRdenote a commutative (and associative) ring with 1 and letAdenote a finitely generated c...
AbstractWe call a group an R-group when it has the property that each of its simple, normal subgroup...
AbstractWe study how the fixed point subgroup of an automorphism influences the structure of a group
AbstractLet G be a residually finite group. If G admits an automorphism of prime order p with finite...
AbstractFor any group Γ and any integer k ⩾ 0 a characteristic subgroup Ψk(Γ) is defined having the ...
AbstractFor a group class X, a group G is said to be a CX-group if the factor group G/CG(gG)∈X for a...
AbstractLet R be a cyclic group of prime order which acts on the extraspecial group F in such a way ...
AbstractIt is shown that if G is a finite group of degree preserving automorphisms of R, the ring of...
AbstractLet r be a prime and suppose the r-group R acts as a group of automorphisms on the r′-group ...
Let R be a group of prime order r that acts on the r'-group G, let RG be the semidirect product of G...
AbstractWe show that certain properties of groups of automorphisms can be read off from the actions ...
AbstractThroughout, all rings R will be commutative with identity element. In this paper we introduc...
AbstractThis paper offers an exhaustive study of certain 2-signalizers in known non-sporadic finite ...
summary:Let $\alpha $ and $\beta $ be automorphisms of a nilpotent $p$-group $G$ of finite rank. Sup...
AbstractThe subgroup structure of a finite group G can be quite complex. However, in the presence of...
AbstractLetRdenote a commutative (and associative) ring with 1 and letAdenote a finitely generated c...
AbstractWe call a group an R-group when it has the property that each of its simple, normal subgroup...
AbstractWe study how the fixed point subgroup of an automorphism influences the structure of a group
AbstractLet G be a residually finite group. If G admits an automorphism of prime order p with finite...
AbstractFor any group Γ and any integer k ⩾ 0 a characteristic subgroup Ψk(Γ) is defined having the ...
AbstractFor a group class X, a group G is said to be a CX-group if the factor group G/CG(gG)∈X for a...
AbstractLet R be a cyclic group of prime order which acts on the extraspecial group F in such a way ...
AbstractIt is shown that if G is a finite group of degree preserving automorphisms of R, the ring of...
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