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.
Similar content being viewed by others
REFERENCES
C. Hog-Angeloni, W. Metzler, and A. J. Sieradski, Two-dimensional Homotopy and Combinatorial Group Theory, Cambridge University Press, Cambridge, 1993.
S. G. Ivanov, “Codes of m-complexity 1,” Proc. Steklov. Institute Math. Suppl. 2 (2001), 61–70.
M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of Group Theory [in Russian], Nauka, Moscow, 1982.
E. A. Sbrodova, Presentations of m-Complexity 2, Proc. Int. Conference-Workshop on Geometry and Analysis Dedicated to the Memory of A. D. Aleksandrov [in Russian], Novosibirsk, 2002, pp. 64–65.
Author information
Authors and Affiliations
Additional information
__________
Translated from Matematicheskie Zametki, vol. 78, no. 3, 2005, pp. 349–357.
Original Russian Text Copyright © 2005 by S. G. Ivanov.
Rights and permissions
About this article
Cite this article
Ivanov, S.G. Presentations of m-Complexity at Most 1 Defining the Trivial Group. Math Notes 78, 320–328 (2005). https://doi.org/10.1007/s11006-005-0131-y
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s11006-005-0131-y