Magnus subgroups of one-relator surface groups

James Howie; Muhammad Sarwar Saeed

doi:10.1016/j.jalgebra.2010.01.026

Magnus subgroups of one-relator surface groups

James Howie, Muhammad Sarwar Saeed

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A one-relator surface group is the quotient of an orientable surface group by the normal closure of a single relator. A Magnus subgroup is the fundamental group of a suitable incompressible sub-surface. A number of results are proved about the intersections of such subgroups and their conjugates, analogous to results of Bagherzadeh, Brodskii and Collins in classical one-relator group theory. © 2010 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	1860-1871
Number of pages	12
Journal	Journal of Algebra
Volume	323
Issue number	7
DOIs	https://doi.org/10.1016/j.jalgebra.2010.01.026
Publication status	Published - 1 Apr 2010

Keywords

Magnus subgroups
One-relator theory
Surface groups

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10.1016/j.jalgebra.2010.01.026

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AB - A one-relator surface group is the quotient of an orientable surface group by the normal closure of a single relator. A Magnus subgroup is the fundamental group of a suitable incompressible sub-surface. A number of results are proved about the intersections of such subgroups and their conjugates, analogous to results of Bagherzadeh, Brodskii and Collins in classical one-relator group theory. © 2010 Elsevier Inc. All rights reserved.

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KW - One-relator theory

KW - Surface groups

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DO - 10.1016/j.jalgebra.2010.01.026

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VL - 323

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JO - Journal of Algebra

JF - Journal of Algebra

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Magnus subgroups of one-relator surface groups

Abstract

Keywords

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