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INDICABLE GROUPS AND ENDOMORPHIC PRESENTATIONS

Published online by Cambridge University Press:  12 December 2011

MUSTAFA GÖKHAN BENLI
MUSTAFA GÖKHAN BENLI*
Affiliation:
Department of Mathematics, Texas A&M University, Mailstop 3368, College Station, TX 77843, USA e-mail: mbenli@math.tamu.edu
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Abstract

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In this paper we look at presentations of subgroups of finitely presented groups with infinite cyclic quotients. We prove that if H is a finitely generated normal subgroup of a finitely presented group G with G/H cyclic, then H has ascending finite endomorphic presentation. It follows that any finitely presented indicable group without free semigroups has the structure of a semidirect product H ⋊ ℤ, where H has finite ascending endomorphic presentation.

Keywords

20F05

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 2 , May 2012 , pp. 335 - 344
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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