ZL-amenability constants of finite groups with two character degrees
Functional Analysis
2019-08-15 v3 Group Theory
Abstract
We calculate the exact amenability constant of the centre of when is one of the following classes of finite group: dihedral; extraspecial; or Frobenius with abelian complement and kernel. This is done using a formula which applies to all finite groups with two character degrees. In passing, we answer in the negative a question raised in work of the third author with Azimifard and Spronk (J. Funct. Anal. 2009).
Keywords
Cite
@article{arxiv.1302.1929,
title = {ZL-amenability constants of finite groups with two character degrees},
author = {Mahmood Alaghmandan and Yemon Choi and Ebrahim Samei},
journal= {arXiv preprint arXiv:1302.1929},
year = {2019}
}
Comments
To appear in Canadian Mathematical Bulletin, 14 pages. Uses material from an older, unpublished preprint http://arxiv.org/abs/1110.6683v1 which has since been superseded. v3: Correction of some grant details and a few minor (non-mathematical) adjustments; note added at page proof stages to reflect new developments