About one property of infinite dihedral groups
Keywords:
group, non-trivial product, median word, non-commutator wordAbstract
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.
