Presentations of $m$-Complexity at Most 1 Defining the Trivial Group

S. G. Ivanov

Chelyabinsk State University

Abstract: A family of presentations of $m$-complexity at most 1 defining the trivial group and containing a $Q^{**}$-equivalent copy of every balanced presentation of the trivial group with $m$-complexity at most 1 is described.

UDC: 512.543.76

Received: 28.11.2002
Revised: 29.06.2004

DOI: 10.4213/mzm2592

 English version: Mathematical Notes, 2005, 78:3, 320–328

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