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On characters and fixed points of coprime operator groups

✍ Scribed by B Hartley; I.M Isaacs

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
892 KB
Volume
131
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

Fixed Points of Coprime Automorphisms an
Fixed Points of Coprime Automorphisms and Generalizations of Glauberman's Z*-Theorem
✍ Paul Flavell; Geoffrey R. Robinson πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 65 KB

One of the most widely used applications of block theory to the U w x structure theory of finite groups is Glauberman's Z -theorem 2 , which asserts that if t is an involution of a finite group G which is not conjugate in G to any other involution of a Sylow 2-subgroup containing t, then Ε½ . Ε½ .

Cross-Characteristic Character and Fixed
Cross-Characteristic Character and Fixed Point Space Ratios for Groups of Lie Type
✍ David Gluck; Kay Magaard πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 208 KB

Let H be a finite group such that F\* HrZ H is a simple group of Lie type of rank l defined in characteristic p. Let K be a field and let V w x be a faithful irreducible K H -module. A recent result of Hall, Liebeck, w x ΰ » Ε½ . Ε½ and Seitz 8, Theorem 4a shows that, for all . y 1 . 16 l q 8 dim V. Ε½