EXACT VALUES OF KAZHDAN CONSTANTS FOR SOME FINITE-GROUPS

被引:14
作者
BACHER, R
DELAHARPE, P
机构
[1] Section de Mathématiques, University de Geneve, CH-1211, Geneva 24
关键词
D O I
10.1006/jabr.1994.1029
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We compute exact values of numerical constants attached to finite groups given together with sets of generators. The definitions of these constants are suggested by Kazhdan's work on unitary representations and his ''Property (T).'' Our main result is about symmetric groups, and its proof involves an analysis of Young's standard representations. There is an appendix giving consequences of our result for finite graphs. (C) 1994 Academic Press, inc.
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页码:495 / 515
页数:21
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