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Lookup NU author(s): Dr Andrew Duncan, Professor Vladimir Remeslennikov
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© 2018 World Scientific Publishing Company The automorphism group of a partially commutative group (Formula presented.) is generated by four types of automorphism: graph automorphisms, inversions, transvections and vertex conjugating automorphisms. We find a characterisation of the subgroup (Formula presented.) generated by inversions and transvections, in terms of stabilisers of subgroups of (Formula presented.) generated by the so-called “admissible” subsets of (Formula presented.). This is used to give a decomposition of (Formula presented.) as a chain of semi-direct products of (mostly) tractable and recognisable subgroups; which in turn gives rise to a presentation of (Formula presented.).
Author(s): Duncan AJ, Remeslennikov VN
Publication type: Article
Publication status: Published
Journal: International Journal of Algebra and Computation
Year: 2018
Volume: 28
Issue: 6
Pages: 1017-1047
Print publication date: 01/09/2018
Online publication date: 11/07/2018
Acceptance date: 30/05/2018
ISSN (print): 0218-1967
ISSN (electronic): 1793-6500
Publisher: World Scientific Publishing Co. Pte Ltd
URL: https://doi.org/10.1142/S0218196718500455
DOI: 10.1142/S0218196718500455
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