Abelian sharp permutation groups

被引：3

作者：

Franchi, C ^{[1
]}

机构：

[1] Univ Cattolica Sacro Cuore, Dept Matemat & Fis, I-2521 Brescia, Italy

来源：

JOURNAL OF ALGEBRA | 2005年 / 283卷 / 01期

关键词：

sharp permutation group; partition;

D O I：

10.1016/j.jalgebra.2004.06.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A permutation group G of finite degree n is a sharp irredundant group of type {k}, k a positive integer, if each non-identity element of G fixes exactly k points, \G\ = n - k and G has no global fixed point and no regular orbit. In this note we give a method to construct all faithful representations of finite abelian groups as sharp irredundant permutation groups of type {k} for some positive integer k. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：1 / 5

页数：5

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