Partitions and permutations

被引：2
|
作者：
Cameron, PJ [1 ]
机构：
[1] Univ London Queen Mary & Westfield Coll, Sch Math Sci, London E1 4NS, England
来源：
DISCRETE MATHEMATICS | 2005年 / 291卷 / 1-3期
关键词：
permutation group; cycle; partition; cycle index; Parker vector;
D O I：
10.1016/j.disc.2004.04.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
With any permutation g of a set Omega is associated a partition of Omega into the cycles of g. What information do we get about a group G of permutations if we know either the set or the multiset of partitions of Omega, or of partitions of n = vertical bar Omega vertical bar, which arise as the cycle partitions of its elements? Some partial answers to these questions are given. (c) 2004 Elsevier B.V. All rights reserved.
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页码：45 / 54
页数：10
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