Geodesic
ZL-amenability Constants of Finite Groups with Two Character Degrees
Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 449-462

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DOI

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.
DOI : 10.4153/CMB-2013-022-1
Mots-clés : 43A20, 20C15, center of group algebras, characters, character degrees, amenability constant, Frobenius group, extraspecial groups 
Alaghmandan, Mahmood; Choi, Yemon; Samei, Ebrahim. ZL-amenability Constants of Finite Groups with Two Character Degrees. Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 449-462. doi: 10.4153/CMB-2013-022-1
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     author = {Alaghmandan, Mahmood and Choi, Yemon and Samei, Ebrahim},
     title = {ZL-amenability {Constants} of {Finite} {Groups} with {Two} {Character} {Degrees}},
     journal = {Canadian mathematical bulletin},
     pages = {449--462},
     year = {2014},
     volume = {57},
     number = {3},
     doi = {10.4153/CMB-2013-022-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-022-1/}
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