Symmetric groups are determined by their character degrees

Details Symmetric groups are determined by their character degrees Symmetric groups are determined by their character degrees

2011-03-21

arxiv.org/abs/1103.3939v1

Mathematics

Group Theory

12 pages, to appear in Journal of Algebra

Scientific paper

10.1016/j.jalgebra.2010.11.018

Let $G$ be a finite group. Let $X_1(G)$ be the first column of the ordinary
character table of $G.$ In this paper, we will show that if $X_1(G)=X_1(S_n),$
then $G\cong S_n.$ As a consequence, we show that $S_n$ is uniquely determined
by the structure of the complex group algebra $\C S_n.$

Affiliated with

Also associated with

No associations

Rating

Symmetric groups are determined by their character degrees 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 Symmetric groups are determined by their character degrees, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetric groups are determined by their character degrees will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-322702