About one property of infinite dihedral groups

Authors

  • V.S. Muldagaliyev
  • B.B. Baktygaliyev

Keywords:

group, non-trivial product, median word, non-commutator word

Abstract

Currently, the theory of small reduction sin combinatorial group theory is presented as unified theory. The articles discusses the theorem of matching of nontrivial free product of word with infinite dihedral group, and its proof. A nontrivial free product is parabolic or elliptical median for each word, regardless of the infinite dihedral group.

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Published

2015-09-29

How to Cite

Muldagaliyev, V., & Baktygaliyev, B. (2015). About one property of infinite dihedral groups. Bulletin of the Karaganda University. Mathematics Series, 79(3), 59–65. Retrieved from https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/49

Issue

2015 (79) 3

Section

MATHEMATICS