Symmetric presentations of Abelian groups

Abért, Miklós

doi:10.1090/S0002-9939-02-06490-0

Symmetric presentations of Abelian groups
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Proc. Amer. Math. Soc. 131 (2003), 17-20 Request permission

Abstract:

We characterise the abelianisation of a group that has a presentation for which the set of relations is invariant under the full symmetric group acting on the set of generators. This improves a result of Emerson.

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