Finite Groups with Submultiplicative Spectra

Details Finite Groups with Submultiplicative Spectra Finite Groups with Submultiplicative Spectra

2011-09-09

arxiv.org/abs/1109.1916v2

Mathematics

Group Theory

Scientific paper

We study abstract finite groups with the property, called property $\hat{s}$, that all of their subrepresentations have submultiplicative spectra. Such groups are necessarily nilpotent and we focus on $p$-groups. $p$-groups with property $\hat{s}$ are regular. Hence, a 2-group has property $\hat{s}$ if and only if it is commutative. For an odd prime $p$, all $p$-abelian groups have property $\hat{s}$, in particular all groups of exponent $p$ have it. We show that a 3-group or a metabelian $p$-group ($p \ge 5$) has property $\hat{s}$ if and only if it is V-regular.

Affiliated with

Also associated with

No associations

Rating

Finite Groups with Submultiplicative Spectra 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 Finite Groups with Submultiplicative Spectra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite Groups with Submultiplicative Spectra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-413089