Skip Navigation

Bulletin of the London Mathematical Society 2005 37(2):179-186; doi:10.1112/S0024609304003959
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Bray, J. N.
Right arrow Articles by Wilson, R. A.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© London Mathematical Society

A Characterization of Finite Soluble Groups by Laws in Two Variables

John N. Bray, John S. Wilson and Robert A. Wilson

School of Mathematical Sciences, Queen Mary, University of London Mile End Rd, London E1 4NS, United Kingdom r.a.wilson{at}qmul.ac.uk, j.n.bray{at}qmul.ac.uk
Mathematical Institute 24–29 St Giles', Oxford OX1 3LB, United Kingdom wilsonjs{at}maths.ox.ac.uk

Received 22 August 2003. Revision received 24 February 2004.

Define a sequence (sn) of two-variable words in variables x, y as follows: s0(x, y) = x, sn+1(x,y)=[sn(x, y]–y, sn(x,y) for n ≥ 0. It is shown that a finite group G is soluble if and only if sn is a law of G for all but finitely many values of n. 2000 Mathematics Subject Classification 20D10, 20D06.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.