Let S n be a double cover of the finite symmetric group S n of degree n, i.e., S n has a central involution z such that S n Γ(z) & S n . An irreducible character of S n is called ordinary or spin according to whether it has z in its kernel or not. The purpose of this paper is to determine the distr
Mixing and Covering in the Symmetric Groups
β Scribed by Uzi Vishne
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 258 KB
- Volume
- 205
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
We discuss mixing and covering theorems in the symmetric groups. We present w n r2 x an example of a covering without mixing, and study the conjugacy class 2 of symmetric group S , which demonstrates mixing without covering. We derive some n w n r2 x 2 new character identities from the computation of 2 , and also compute
, filling a hole between theorems of
π SIMILAR VOLUMES
## Abstract Suppose __G__ is a definably connected, definable group in an oβminimal expansion of an ordered group. We show that the oβminimal universal covering homomorphism $ \tilde p $: $ \tilde G $β __G__ is a locally definable covering homomorphism and __Ο__~1~(__G__) is isomorphic to the oβmin