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Finite groups with an almost regular automorphism of order four

✍ Scribed by N. Yu. Makarenko; E. I. Khukhro

Publisher: Springer US
Year: 2006
Tongue: English
Weight: 691 KB
Volume: 45
Category: Article
ISSN: 0002-5232
DOI: 10.1007/s10469-006-0030-7

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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