Mathematics – Group Theory
Scientific paper
2009-10-26
Mathematics
Group Theory
Scientific paper
We study the automorphisms of graph products of cyclic groups, a class of groups that includes all right-angled Coxeter and right-angled Artin groups. We show that the group of automorphism generated by partial conjugations is itself a graph product of cyclic groups providing its defining graph does not contain any separating intersection of links (SIL). In the case that all the cyclic groups are finite, this implies that the automorphism group is virtually CAT(0); it has a finite index subgroup which acts geometrically on a right-angled building.
Charney Ruth
Ruane Kim
Stambaugh Nathaniel
Vijayan Anna
No associations
LandOfFree
The automorphism group of a graph product with no SIL 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 The automorphism group of a graph product with no SIL, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The automorphism group of a graph product with no SIL will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-563132