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Alternating subgroups of Coxeter groups
Authors:Francesco Brenti  Yuval Roichman
Affiliation:a Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italy
b School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
c Department of Mathematics, Bar-Ilan University, 52900 Ramat-Gan, Israel
Abstract:We study combinatorial properties of the alternating subgroup of a Coxeter group, using a presentation of it due to Bourbaki.
Keywords:Coxeter group   Alternating group   Presentation   Length   Poincaré   series
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