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math.GRApr 4, 2008
10
citations (OpenAlex)
authors
  • Yuqun Chen
  • Chanyan Zhong
institutions
  • South China Normal University
arXiv abstractPDF
paper

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

arXiv:0804.0642 · doi:10.1080/00927870701665180

Abstract

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.

Cited by in corpus (2)

  • Gröbner-Shirshov bases and their calculation
  • Groebner-Shirshov bases for Schreier extensions of groups
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