Details

Subject(s)

• Finite groups [Browse]
• Automorphisms [Browse]
• Nilpotent groups [Browse]

Series

• Memoirs of the American Mathematical Society ; no. 1341. [More in this series]
• Memoirs of the American Mathematical Society, 0065-9266 ; volume 273, number 1341 (fourth of 5 numbers) [More in this series]

Summary note

"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"-- Provided by publisher.

Bibliographic references

Includes bibliographical references and index.

ISBN

• 9781470450038 ((paperback))
• 1470450038

LCCN

2022007669

OCLC

1313793929

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