Some finite abelian group theory and some q-series identities
Combinatorics
2016-05-30 v4
Abstract
For a fixed odd prime , we present new families of identities defined on various subposets of the poset of isomorphism classes of finite abelian -groups, generalizing identities of Hall and Cohen-Lenstra. We also present a -series identity.
Keywords
Cite
@article{arxiv.1405.5824,
title = {Some finite abelian group theory and some q-series identities},
author = {Derek Garton},
journal= {arXiv preprint arXiv:1405.5824},
year = {2016}
}
Comments
8 pages, simplified proof of Corollary 4.2, updated references