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ZL-amenability Constants of Finite Groups with Two Character Degrees
Published online by Cambridge University Press: 20 November 2018
Abstract
We calculate the exact amenability constant of the centre of ${{\ell }^{1}}\left( G \right)$ when $G$ is a finite group and is either dihedral, extraspecial, or Frobenius with abelian complement and kernel. This is done using a formula that 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.
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- Copyright © Canadian Mathematical Society 2014
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