Normal coverings of solvable groups

被引：3

作者：

Crestani, Eleonora ^{[1
]}

Lucchini, Andrea ^{[1
]}

机构：

[1] Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

来源：

ARCHIV DER MATHEMATIK | 2012年 / 98卷 / 01期

关键词：

Covering; Normal coverings; Solvable groups; PROPER SUBGROUPS; GENERATE; PAIRWISE; SETS;

D O I：

10.1007/s00013-011-0341-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a finite non cyclic group G, let gamma(G) be the smallest integer k such that G contains k proper subgroups H (1), . . . , H (k) with the property that every element of G is contained in H(i)(g) for some i is an element of {1, ..., k} and g G. We prove that for every n >= 2, there exists a finite solvable group G with gamma(G) = n.

引用

页码：13 / 18

页数：6

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