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Finite groups of bounded rank with an almost regular automorphism

✍ Scribed by A. Jaikin-Zapirain

Book ID: 110679219
Publisher: The Hebrew University Magnes Press
Year: 2002
Tongue: English
Weight: 556 KB
Volume: 129
Category: Article
ISSN: 0021-2172
DOI: 10.1007/bf02773164

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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