The generalized conjugacy problem for virtually free groups

• Type: Article in International Scientific Journal
• Date: 2011

Authors

Manuel Ladra (Author) Other; Pedro V. Silva (Author) FCUP

Journal

Title: Forum Mathematicum

Vol. 23

Pages: 447-482

ISSN: 0933-7741

Publisher: Walter De Gruyter

Indexing

ISI Web of Knowledge - 4 Citations

ISI Web of Science

Scopus - 3 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-002-RRK

DOI: 10.1515/form.2011.015

Abstract (EN): The generalized conjugacy problem (has g a conjugate in K for K rational?) is solved for finitely generated (f.g.) virtually free groups with constraints that go beyond the context-free level, a new result for the free group itself. Moldavanskii's theorem on simultaneous conjugacy of f.g. subgroups of a free group is also generalized for virtually free groups and this wider class of constraints. The solution set of the equation x-1 g phi(x) is an element of K in the free group (phi a virtually inner automorphism, K rational) is shown to be rational and effectively constructible, and a similar result is proved for the equation xgx(-1) is an element of K in a f. g. virtually free group. The twisted conjugacy problem with context-free constraints is also proved to be decidable for the free group.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 36