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arxiv: 0804.0642 · v1 · submitted 2008-04-04 · 🧮 math.GR

Groebner-Shirshov basis for HNN extensions of groups and for the alternating group

classification 🧮 math.GR
keywords groupalternatinggroebner-shirshovbasesbasiscompositionextensionextensions
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In this paper, we generalize the Shirshov's Composition Lemma by replacing the monomial order for others. By using Groebner-Shirshov bases, the normal forms of HNN extension of a group and the alternating group are obtained.

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