Paper published by Algebraic and Geometric Topology
From: Geometry and Topology Journal (gt_at_maths.warwick.ac.uk)
Date: 08/16/04
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Date: 16 Aug 2004 13:15:01 -0400
A paper has been published and also a provisional erratum for a
previously published paper (see end).
--- The following paper has been published. Algebraic and Geometric Topology Volume 4 (2004), paper no. 27, pages 595--602 URL: http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-27.abs.html Title: Commutators and squares in free groups Author(s): Sucharit Sarkar Abstract: Let F_2 be the free group generated by x and y. In this article, we prove that the commutator of x^m and y^n is a product of two squares if and only if mn is even. We also show using topological methods that there are infinitely many obstructions for an element in F_2 to be a product of two squares. AMS Classification Numbers. Primary: 20F12 Secondary: 57M07 Keywords: Commutators, free groups, products of commutators Received: 2 January 2003 Revised: 25 March 2004 Accepted: 12 July 2004 Published: 5 November 2003 Author(s) address(es): Stat-Math Unit, Indian Statistical Institute Bangalore, India Email: bmat0212@isibang.ac.in --- An error has been found in the following paper. A full erratum will be published in due course. In the meanwhile a provisional erratum is available (linked from the URL below). "K-theory of virtually poly-surface groups" by S.K. Roushon Algebraic and Geometric Topology 3 (2003) 103-116 URL: http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-4.abs.html
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