37 research outputs found
On the group of alternating colored permutations
The group of alternating colored permutations is the natural analogue of the
classical alternating group, inside the wreath product .
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.Comment: 29 pages, one figure; submitte