Universal deformation rings for the symmetric group S_5 and one of its double covers

Details Universal deformation rings for the symmetric group S_5 and one of its double covers Universal deformation rings for the symmetric group S_5 and one of its double covers

2009-03-31

arxiv.org/abs/0904.0031v2

J. Pure Appl. Alg. 215 (2011), 523-530

Mathematics

Group Theory

10 pages, 5 figures; the proof of Theorem 1.1(a) has been shortened

Scientific paper

10.1016/j.jpaa.2010.06.004

Let $S_5$ denote the symmetric group on 5 letters, and let $\hat{S}_5$ denote a non-trivial double cover of $S_5$ whose Sylow 2-subgroups are generalized quaternion. We determine the universal deformation rings $R(S_5,V)$ and $R(\hat{S}_5,V)$ for each mod 2 representation $V$ of $S_5$ that belongs to the principal 2-modular block of $S_5$ and whose stable endomorphism ring is given by scalars when it is inflated to $\hat{S}_5$. We show that for these $V$, a question raised by the first author and Chinburg concerning the relation of the universal deformation ring of $V$ to the Sylow 2-subgroups of $S_5$ and $\hat{S}_5$, respectively, has an affirmative answer.

Affiliated with

Also associated with

No associations

Rating

Universal deformation rings for the symmetric group S_5 and one of its double covers 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 Universal deformation rings for the symmetric group S_5 and one of its double covers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal deformation rings for the symmetric group S_5 and one of its double covers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-592893