On the group of alternating colored permutations

Eli Bagno, David Garber, Toufik Mansour

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The group of alternating colored permutations is the natural analogue of the classical alternating group, inside the wreath product Zr{wreath product}Sn. We present a 'Coxeter-like' presentation for this group and compute the length function with respect to that presentation. Then, we present this group as a covering of and use this point of view to give another expression for the length function. We also use this covering to lift several known parameters of to the group of alternating colored permutations.

Original languageEnglish
JournalElectronic Journal of Combinatorics
Volume21
Issue number2
DOIs
StatePublished - 9 May 2014
Externally publishedYes

Keywords

  • Alternating group
  • Canonical presentation
  • Colored permutations
  • Permutation statistics

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