A sieve formula for chains of $p$-subgroups
Group Theory
2024-07-19 v1
Abstract
Given a finite group and a prime , we establish the sieve formula, which is a congruence containing as summands numbers of chains of -subgroups of of certain orders. This generalises the Theorem of Sylow-Frobenius, using Wielandt's approach. Its name stems from the sieve formula from set theory because of formal similarities.
Cite
@article{arxiv.2407.13636,
title = {A sieve formula for chains of $p$-subgroups},
author = {Elias Schwesig},
journal= {arXiv preprint arXiv:2407.13636},
year = {2024}
}