Algebraic and Geometric Topology 2 (2002), paper no. 3, pages 33--35.

A counterexample to a group completion conjecture of JC Moore

Zbigniew Fiedorowicz

Abstract. We provide a simple explicit counterexample to a group completion conjecture for simplicial monoids attributed to JC Moore.

Keywords. Simplicial monoid, group completion

AMS subject classification. Primary: 18G30. Secondary: 55R35.

DOI: 10.2140/agt.2002.2.33

E-print: arXiv:math.AT/0202260

Submitted: 25 June 2001. (Revised: 11 January 2002.) Accepted: 11 January 2002. Published: 19 January 2002.

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Zbigniew Fiedorowicz
Department of Mathematics, The Ohio State University
Columbus, OH 43210-1174, USA
Email: fiedorow@math.ohio-state.edu
URL: http://www.math.ohio-state.edu/~fiedorow/
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