Invariant characters and coprime actions on finite nilpotent groups
โ Scribed by I.M. Isaacs; M. L. Lewis; G. Navarro
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 101 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The aim of this paper is to study dynamics of a discrete isometry group action in a pinched Hadamard manifold nearby its parabolic fixed points. Due to Margulis Lemma, such an action on corresponding horospheres is virtually nilpotent, so we solve the problem by establishing a structural theorem for
Holroyd, F.C., Reconstructing finite group actions and characters from subgroup information, Discrete Mathematics 110 (1992) 283-287.
Let G be a finite group and E a generating set for G. Let P be a probability measure on G whose support is E. We define a random walk on G as follows. At the zeroth stage, we set w 0 =1. At the k th stage, we set w k =w k&1 x, where x # E is chosen with probability P(x). For g # G, the probability t