Finite direct sums of cyclic embeddings
Representation Theory
2019-05-15 v1
Abstract
In this paper we generalize Kaplansky's combinatorial characterization of the isomorphism types of embeddings of a cyclic subgroup in a finite abelian group given in his 1951 book ``Infinite Abelian Groups''. For this we introduce partial maps on Littlewood-Richardson tableaux and show that they characterize the isomorphism types of finite direct sums of such cyclic embeddings.
Cite
@article{arxiv.1905.05688,
title = {Finite direct sums of cyclic embeddings},
author = {Justyna Kosakowska and Markus Schmidmeier},
journal= {arXiv preprint arXiv:1905.05688},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1607.05640