FINITE GROUPS WITH IRREDUCIBLE PROJECTIVE REPRESENTATIONS OF LARGE DEGREE

被引：2
作者：
Higgs, R. J. [1 ]
机构：
[1] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
来源：
COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 10期
关键词：
Projective representation; Schur multiplier; CHARACTERS;
D O I：
10.1080/00927872.2010.514316
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we will investigate finite groups G that possess a 2-cocycle for which all the complex irreducible projective representations have the same degree. We will show that, provided the number of such inequivalent irreducible projective representations is relatively small compared to the order of G, then the degree equality property is inherited by all the Sylow subgroups of G.
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收藏
页码：3897 / 3904
页数：8
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