Intense automorphisms of finite groups / Mima Stanojkovski.
| Author/creator | Stanojkovski, Mima, 1989- |
| Format | Electronic |
| Publication Info | Providence : American Mathematical Society, 2021. |
| Description | viii, 117 pages : illustrations ; 26 cm |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; volume 273, number 1341 (fourth of 5 numbers) |
| Abstract | "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. |
| Bibliography note | Includes bibliographical references (page 115) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2022007669 |
| ISBN | 9781470450038 (paperback) |
| ISBN | (epub) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |