Basic Questions on Artin-Tits groups

Details Basic Questions on Artin-Tits groups Basic Questions on Artin-Tits groups

2011-05-05

arxiv.org/abs/1105.1048v1

Mathematics

Group Theory

Scientific paper

This paper is a short survey on four basic questions on Artin-Tits groups: the torsion, the center, the word problem, and the cohomology ($K(\pi,1)$ problem). It is also an opportunity to prove three new results concerning these questions: (1) if all free of infinity Artin-Tits groups are torsion free, then all Artin-Tits groups will be torsion free; (2) If all free of infinity irreducible non-spherical type Artin-Tits groups have a trivial center then all irreducible non-spherical type Artin-Tits groups will have a trivial center; (3) if all free of infinity Artin-Tits groups have solutions to the word problem, then all Artin-Tits groups will have solutions to the word problem. Recall that an Artin-Tits group is free of infinity if its Coxeter graph has no edge labeled by $\infty$.

Affiliated with

Also associated with

No associations

Rating

Basic Questions on Artin-Tits groups 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 Basic Questions on Artin-Tits groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Basic Questions on Artin-Tits groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-690699