Simple extensions of reflection subgroups of primitive complex reflection groups

Details Simple extensions of reflection subgroups of primitive complex reflection groups Simple extensions of reflection subgroups of primitive complex reflection groups

2012-01-06

arxiv.org/abs/1201.1348v1

Mathematics

Group Theory

17 pages, 20 tables

Scientific paper

If $G$ is a finite primitive complex reflection group, all reflection
subgroups of $G$ and their inclusions are determined up to conjugacy. As a
consequence, it is shown that if the rank of $G$ is $n$ and if $G$ can be
generated by $n$ reflections, then for every set $R$ of $n$ reflections which
generate $G$, every subset of $R$ generates a parabolic subgroup of $G$.

Affiliated with

Also associated with

No associations

Rating

Simple extensions of reflection subgroups of primitive complex reflection 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 Simple extensions of reflection subgroups of primitive complex reflection groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simple extensions of reflection subgroups of primitive complex reflection groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-661744