A RECURRENCE RELATION FOR THE NUMBER OF FREE SUBGROUPS IN FREE PRODUCTS OF CYCLIC GROUPS

被引：1

作者：

Camps, T. ^{[1
]}

Doerfer, M.

Rosenberger, G. ^{[1
,2
]}

机构：

[1] Univ Dortmund, Fachbereich Math, Vogelpothsweg 87, D-44137 Dortmund, Germany

[2] Univ Dortmund, Fachbereich Math, D-44137 Dortmund, Germany

来源：

ASPECTS OF INFINITE GROUPS | 2008年 / 1卷

关键词：

Free Products; free subgroups; recurrence formulas for free subgroups;

D O I：

10.1142/9789812793416_0005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we consider a free product G of finitely many cyclic groups of finite or infinite order and develop an explicit and straightforward recurrence formula for the number of free subgroups of C which includes only the given group theoretic data as the number of the free product factors and the orders of the given cyclic groups.

引用

页码：54 / +

页数：3

共 11 条

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