A commutative version of the group ring
A commutative version of the group ring
We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings. We demonstrate this with an alternative proof of a result about the normal generation of the free product of two cyclic groups.
Mannan, W.H.
226de07d-b065-4816-958f-23c1bde53069
Mannan, W.H.
226de07d-b065-4816-958f-23c1bde53069
Mannan, W.H.
(2012)
A commutative version of the group ring.
Mathematical Proceedings of the Cambridge Philosophical Society.
(Submitted)
Abstract
We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings. We demonstrate this with an alternative proof of a result about the normal generation of the free product of two cyclic groups.
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Submitted date: July 2012
Organisations:
Pure Mathematics
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Local EPrints ID: 341335
URI: http://eprints.soton.ac.uk/id/eprint/341335
ISSN: 0305-0041
PURE UUID: 4f8941f5-2ea7-4aca-af8a-6d31a2710466
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Date deposited: 23 Jul 2012 11:21
Last modified: 14 Mar 2024 11:38
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Author:
W.H. Mannan
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