arXiv:1905.05688 Abstract | arXiv Analytics

arXiv:1905.05688 [math.RT]Abstract References Reviews Resources

Finite direct sums of cyclic embeddings

Published 2019-05-14Version 1

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.

Comments: arXiv admin note: substantial text overlap with arXiv:1607.05640

Categories: math.RT

Subjects: 05E10, 20K27, 47A15

Keywords: finite direct sums, cyclic embeddings, isomorphism types, generalize kaplanskys combinatorial characterization, infinite abelian groups

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