Noninduced modular representations of cyclic groups
Abstract
We compute the ring of noninduced representations for a cyclic group, $C_n$, over an arbitrary field and show that it has rank $\varphi(n)$, where $\varphi$ is Euler's totient function  independent of the characteristic of the field. Along the way, we obtain a "pickanumber" trick; expressing an integer $n$ as a sum of products of $p$adic digits of related integers.
 Publication:

arXiv eprints
 Pub Date:
 November 2021
 arXiv:
 arXiv:2111.09187
 Bibcode:
 2021arXiv211109187J
 Keywords:

 Mathematics  Representation Theory;
 20C20
 EPrint:
 12 pages, 1 figure, comments welcome