Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - ZL-amenability constants of finite groups with two character degrees
AU - Alaghmandan, Mahmood
AU - Choi, Yemon
AU - Samei, Ebrahim
PY - 2014
Y1 - 2014
N2 - We calculate the exact amenability constant of the centre of $\ell^1(G)$ 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).
AB - We calculate the exact amenability constant of the centre of $\ell^1(G)$ 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).
U2 - 10.4153/CMB-2013-022-1
DO - 10.4153/CMB-2013-022-1
M3 - Journal article
VL - 57
SP - 449
EP - 462
JO - Canadian Mathematical Bulletin
JF - Canadian Mathematical Bulletin
SN - 0008-4395
ER -