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Character degree sums in finite nonsolvable groups
-
Kay Magaard
und
Hung P. Tong-Viet
Veröffentlicht/Copyright:
13. August 2010
Abstract
Let N be a minimal normal nonabelian subgroup of a finite group G. We will show that there exists a nontrivial irreducible character of N of degree at least 5 which is extendible to G. This result will be used to settle two open questions raised by Berkovich and Mann, and Berkovich and Zhmud'.
Received: 2009-11-26
Revised: 2010-04-15
Published Online: 2010-08-13
Published in Print: 2011-January
© de Gruyter 2011
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Artikel in diesem Heft
- Conway's group and octonions
- Strongly real elements of orthogonal groups in even characteristic
- A rigid triple of conjugacy classes in G2
- On the shortest identity in finite simple groups of Lie type
- Solomon's induction in quasi-elementary groups
- Character degree sums in finite nonsolvable groups
- Decomposing tensor products and exterior and symmetric squares
- On representations of groups of odd order
- An existence criterion for Hall subgroups of finite groups
- Covering certain wreath products with proper subgroups
- Totally imprimitive permutation groups with the cyclic-block property
- On representations of Artin–Tits and surface braid groups
- On Property (FA) for wreath products
