A FINITENESS CONDITION ON THE COEFFICIENTS OF THE PROBABILISTIC ZETA FUNCTION

被引：0

作者：

Dung, Duong H. ^{[1
,2
]}

Lucchini, A. ^{[1
]}

机构：

[1] Leiden Univ, Math Inst, Niels Bohrweg 1, NL-2333 RA Leiden, Netherlands

[2] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

来源：

INTERNATIONAL JOURNAL OF GROUP THEORY | 2013年 / 2卷 / 01期

关键词：

Probabilistic zeta function; special linear groups;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss whether finiteness properties of a profinite group G can be deduced from the coefficients of the probabilistic zeta function PG (8). In particular we prove that if PG (8) is rational and all but finitely many non abelian composition factors of G are isomorphic to PSL(2,p) for some prime p, then G contains only finitely many maximal subgroups.

引用

页码：167 / 174

页数：8

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