Free products of cyclic subgroups in the group PSL2(C)

被引：0

作者：

Mateiko, OM ^{[1
]}

Tavgen', OI ^{[1
]}

机构：

[1] Belarusian State Univ, Minsk 220050, BELARUS

来源：

MATHEMATICAL NOTES | 2000年 / 67卷 / 5-6期

关键词：

cyclic group; free subgroup; free product; algebraic and transcendental numbers; PSL2(C)-representation; free generators; cyclically reduced word;

D O I：

10.1007/BF02675632

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, families of faithful representations of the free product of n (n greater than or equal to 2) cyclic groups into the group PSL2(C) are indicated. They are used to generalize a result of Rec and Mendelsohn. We also obtain a series of sufficient conditions under which a 2-generated subgroup [A, B] of the group PSL2(C) is isomorphic to the free product of its cyclic subgroups [A] and [B].

引用

页码：778 / 785

页数：8

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