Almost central involutions in split extensions of Coxeter groups by graph automorphisms

Details Almost central involutions in split extensions of Coxeter groups by graph automorphisms Almost central involutions in split extensions of Coxeter groups by graph automorphisms

2005-12-10

arxiv.org/abs/math/0512210v1

Journal of Group Theory 10 (2007) 139-166

Mathematics

Group Theory

32 pages

Scientific paper

In this paper, given a split extension of an arbitrary Coxeter group by automorphisms of the Coxeter graph, we determine the involutions in that extension whose centralizer has finite index. Our result has applications to many problems such as the isomorphism problem of general Coxeter groups. In the argument, some properties of certain special elements and of the fixed-point subgroups by graph automorphisms in Coxeter groups, which are of independent interest, are also given.

Affiliated with

Also associated with

No associations

Rating

Almost central involutions in split extensions of Coxeter groups by graph automorphisms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Almost central involutions in split extensions of Coxeter groups by graph automorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Almost central involutions in split extensions of Coxeter groups by graph automorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-557254