Primitivity of permutation groups, coherent algebras and matrices

被引：3
|
作者：
Jones, GA [1 ]
Klin, M
Moshe, Y
机构：
[1] Univ Southampton, Fac Math Studies, Southampton SO17 1BJ, Hants, England
[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2002年 / 98卷 / 01期
关键词：
D O I：
10.1006/jcta.2001.3245
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A coherent algebra is F-primitive if each of its non-identity basis matrices is primitive in the sense of Frobenius. We investigate the relationship between the primitivity of a permutation group. the primitivity of its centralizer algebra, and F-primitivity. The results obtained are applied to give new proofs of primitivity criteria for the exponentiations of permutation groups and of coherent algebras. (C) 2002 Elsevier Science (USA).
引用
收藏
页码：210 / 217
页数：8
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