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Groups of automorphisms of finite p-groups

✍ Scribed by A. V. Borovik; E. I. Khukhro

Publisher
SP MAIK Nauka/Interperiodica
Year
1976
Tongue
English
Weight
679 KB
Volume
19
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES

Automorphisms of finite p-groups
Automorphisms of finite p-groups
✍ Norman Blackburn πŸ“‚ Article πŸ“… 1966 πŸ› Elsevier Science 🌐 English βš– 104 KB
Outer automorphisms of locally finite p-
Outer automorphisms of locally finite p-groups
✍ GΓ‘bor Braun; RΓΌdiger GΓΆbel πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 136 KB

Every group is an outer automorphism group of a locally finite p-group. This extends an earlier result [M. Dugas, R. GΓΆbel, On locally finite p-groups and a problem of Philip Hall's, J. Algebra 159 (1) (1993) 115-138] about countable outer automorphism groups. It is also in sharp contrast to results

Noninner Automorphisms of Order p of Fin
Noninner Automorphisms of Order p of Finite p-Groups
✍ Marian Deaconescu; Gheorghe Silberberg πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 64 KB

The main result of this paper shows that if G is a finite nonabelian p-group and if C G Z Ξ¦ G = Ξ¦ G , then G has a noninner automorphism of order p which fixes Ξ¦ G . This reduces the verification of the longstanding conjecture that every finite nonabelian p-group G has a noninner automorphism of ord

On Almost Regular Automorphisms of Finit
On Almost Regular Automorphisms of Finite p-Groups
✍ A. Jaikin-Zapirain πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 143 KB

In this paper we prove that there are functions f ( p, m, n) and h(m) such that any finite p-group with an automorphism of order p n , whose centralizer has p m points, has a subgroup of derived length h(m) and index f ( p, m, n). This result gives a positive answer to a problem raised by E. I. Khuk