Discriminating groups and c-dimension

Alexei Myasnikov, Pavel Shumyatsky

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

It is proved that every linear discriminating (square-like) group is abelian and every finitely generated solvable discriminating group is free abelian. These results follow from manipulations with c-dimensions of groups; the c-dimension of a group G is the length of a longest strictly decreasing chain of centralizers in G.

Original languageEnglish
Pages (from-to)135-142
Number of pages8
JournalJournal of Group Theory
Volume7
Issue number1
StatePublished - 2004

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