THE CONJUGACY PROBLEM IN AMALGAMATED PRODUCTS I: REGULAR ELEMENTS AND BLACK HOLES-Reference-Cited by-同舟云学术

THE CONJUGACY PROBLEM IN AMALGAMATED PRODUCTS I: REGULAR ELEMENTS AND BLACK HOLES

Published:2007-11 Issue:07 Volume:17 Page:1299-1333
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

BOROVIK ALEXANDRE V.¹,MYASNIKOV ALEXEI G.²,REMESLENNIKOV VLADIMIR N.³

Affiliation:

1. School of Mathematics, PO Box 88, Sackville Street, University of Manchester, Manchester M60 1QD, UK

2. McGill University, Department of Mathematics and Statistics, 805 Sherbrooke W., Montreal QC H3A 2K6, Canada

3. Omsk Branch of the Mathematical Institute SB RAS, 13 Pevtsova Street, 644099 Omsk, Russia

Abstract

We discuss the time complexity of the word and conjugacy search problems for free products G = A ⋆C B of groups A and B with amalgamation over a subgroup C. We stratify the set of elements of G with respect to the complexity of the word and conjugacy problems and show that for the generic stratum the conjugacy search problem is decidable under some reasonable assumptions about groups A, B, C.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196707003652

Reference22 articles.

1. Алгоритмические проблемы для групп и полугрупп

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