Abstract
Let G be a soluble group of odd order generated by the conjugacy class of an element g of prime order p. Let V be a faithful G-module over any field and CV (g) be the fixed-point subspace of g on V. We prove that .
Received: 2010-01-25
Published Online: 2010-07-21
Published in Print: 2011-January
© de Gruyter 2011
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- 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
Articles in the same Issue
- 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