The compressed conjugacy problem in relatively hyperbolic groups

被引:0
作者
Holt, Derek [1 ]
Rees, Sarah [2 ]
机构
[1] Univ Warwick, Math Inst, Coventry CV4 7AL, England
[2] Newcastle Univ, Sch Math Stat & Phys, Newcastle NE1 7RU, England
关键词
Relatively hyperbolic groups; Conjugacy problem; Compressed decision problems;
D O I
10.1016/j.jalgebra.2024.03.009
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the compressed conjugacy problem in a group that is hyperbolic relative to a collection of free abelian subgroups is solvable in polynomial time. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
引用
收藏
页码:302 / 318
页数:17
相关论文
共 10 条
[1]   FINITE GENERATING SETS OF RELATIVELY HYPERBOLIC GROUPS AND APPLICATIONS TO GEODESIC LANGUAGES [J].
Antolin, Yago ;
Ciobanu, Laura .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 368 (11) :7965-8010
[2]   RELATIVELY HYPERBOLIC GROUPS [J].
Bowditch, B. H. .
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2012, 22 (03)
[3]  
Bridson M., 1999, METRIC SPACES NONPOS, DOI DOI 10.1007/978-3-662-12494-9
[4]  
Epstein D., 1992, WORD PROCESSING GROU
[5]   The linearity of the conjugacy problem in word-hyperbolic groups [J].
Epstein, David ;
Holt, Derek .
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2006, 16 (02) :287-305
[6]   Relatively hyperbolic groups [J].
Farb, B .
GEOMETRIC AND FUNCTIONAL ANALYSIS, 1998, 8 (05) :810-840
[7]  
Holt D, 2018, arXiv
[8]   The compressed word problem in relatively hyperbolic groups [J].
Holt, Derek ;
Rees, Sarah .
JOURNAL OF ALGEBRA, 2022, 607 :305-343
[9]  
Karpinski M, 1995, LECT NOTES COMPUT SC, V937, P205
[10]  
Osin DV, 2006, MEM AM MATH SOC, V179, pIII