Transitivity of the Automorphisms of Certain Geometric Structures

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On Marginal Automorphisms of a Group Fixing the Certain Subgroup

Let W be a variety of groups defined by a set W of laws and G be a finite p-group in W. The automorphism α of a group G is said to bea marginal automorphism (with respect to W), if for all x ∈ G, x−1α(x) ∈ W∗(G), where W∗(G) is the marginal subgroup of G. Let M,N be two normalsubgroups of G. By AutM(G), we mean the subgroup of Aut(G) consistingof all automorphisms which centralize G/M. AutN(G) ...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1969

ISSN: 0002-9947

DOI: 10.2307/1994789