Intense automorphisms of finite groups
著者
書誌事項
Intense automorphisms of finite groups
（Memoirs of the American Mathematical Society, no. 1341）
American Mathematical Society, c2021
大学図書館所蔵 全5件
注記
"September 2021, volume 273, number 1341 (fourth of 5 numbers)"
Includes bibliographical references (p. 115) and index
内容説明・目次
内容説明
Let G be a group. An automorphism of G is called intense if it sends each subgroup of G to a conjugate; the collection of such automorphisms is denoted by Int(G). In the special case in which p is a prime number and G is a finite p-group, one can show that Int(G) is the semidirect product of a normal p-Sylow and a cyclic subgroup of order dividing p?1. In this paper we classify the finite p-groups whose groups of intense automorphisms are not themselves p-groups. It emerges from our investigation that the structure of such groups is almost completely determined by their nilpotency class: for p > 3, they share a quotient, growing with their class, with a uniquely determined infinite 2-generated pro-p group.
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