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Automorphisms of finite p-groups

โœ Scribed by Norman Blackburn

Publisher
Elsevier Science
Year
1966
Tongue
English
Weight
104 KB
Volume
3
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

Noninner Automorphisms of Order p of Fin
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โœ Marian Deaconescu; Gheorghe Silberberg ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 64 KB

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

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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

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โœ Ulderico Dardano; Bettina Eick; Martin Menth ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 111 KB

We show that certain properties of groups of automorphisms can be read off from the actions they induce on the finite characteristic quotients of their underlying group G. In particular, we obtain criteria for groups of automorphisms of a ลฝ . residually finite and soluble minimax -by-finite group G