Balanced presentations of the trivial group on...

Balanced presentations of the trivial group on two generators and the Andrews-Curtis conjecture[7]
Alexei D. Miasnikov and Alexei G. Myasnikov(City College of New York)

Title: Balanced presentations of the trivial group on two generators
and the Andrews-Curtis conjecture

Authors: Alexei D. Miasnikov, Alexei G. Myasnikov
Categories: GR Group Theory
Math Subject Class: 20E05, 20F05, 68T05 (Primary), 57M05,57M20. (Secondary)
Journal reference: In W.Kantor and A.Seress,editors, Groups and
Computation III, volume 23, (2001) 257-263, Berlin
Comments: 7 pages, no figures

    Abstract: The Andrews-Curtis conjecture states that every balanced
    presentation of the trivial group can be reduced to the standard
    one by a sequence of the elementary Nielsen transformations and
    conjugations. In this paper we describe all balanced presentations
    of the trivial group on two generators and with the total length
    of relators <= 12. We show that all these presentations satisfy
    the Andrews-Curtis conjecture.

From: Alexei Miasnikov <alex@groups.sci.ccny.cuny.edu>
Date: Mon, 21 Apr 2003 21:01:49 GMT (11kb)

BibTeX

@article{math.GR/0304305,
    title = {{Balanced presentations of the trivial group on two
        generators and the Andrews-Curtis conjecture}},
    author = {Alexei D. Miasnikov and Alexei G. Myasnikov},
    journal = {In W. Kantor and A. Seress,editors, Groups and Computation III,
               volume},
    volume = 23,
    year = 2001,
    pages = {257--263},
    eprint = {arXiv:math.GR/0304305}}