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On regularity of finite reflection groups

✍ Scribed by R. B. Howlett; Jian-yi Shi

Publisher
Springer
Year
2000
Tongue
English
Weight
80 KB
Volume
102
Category
Article
ISSN
0025-2611

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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