Conjugacy word problem in the tree product of free groups with a cyclic amalgamation

被引：0

作者：

Bezverkhniy, Vladimir N. ^{[1
]}

Logacheva, Elena S. ^{[1
]}

机构：

[1] Tula State Pedag Univ Leo Tolstoy, Tula, Russia

来源：

DISCRETE MATHEMATICS AND APPLICATIONS | 2016年 / 26卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

group; subgroup; conjugacy problem; free product with amalgamation;

D O I：

10.1515/dma-2016-0027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The conjugacy word problem in the tree product of free groups with a cyclic amalgamation is solved in the positive. This result generalizes the known result obtained by S. Lipschutz for the free product of two free groups with cyclic amalgamation. Solution of the main problem involves proving the solvability of the problem of intersection of a finitely generated subgroup of a given class of groups with a cyclic subgroup belonging to the factor of the main group; the solvability of the problem of intersection of a coset of a finitely generated subgroup with a cyclic subgroup belonging to a free factor.

引用

页码：309 / 321

页数：13

共 9 条

[1] [Anonymous], 2004, COMBINATORIAL GROUP
[2] Bezverkhniy V. N., 1972, VOPROSY TEORII GRUPP, P3
[3] Bezverkhniy V. N., 1983, ALGORITMICHESKIE PRO, P50
[4] Bezverkhniy V. N., 1990, ALGORITHMIC PROBLEMS, P103
[5] Bezverkhniy V. N., 1977, SOVREMENNAYA ALGEBRA, V6, P16
[6] Bezverkhniy V. N., 1974, SBORNIK NAUCHNYKH T, V2, P51
[7] SUBGROUPS OF A FREE PRODUCT OF 2 GROUPS WITH AN AMALGAMATED SUBGROUP
KARRASS, A
SOLITAR, D
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 150 (01) : 227 - &
[8] Lipschutz S., 1966, P AM MATH SOC, V150, P759
[9] Lyndon R. C., 1977, COMBINATORIAL GROUP

← 1 →