Finite direct sums of cyclic embeddings

Justyna Kosakowska; Markus Schmidmeier

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arXiv · 1905.05688

Finite direct sums of cyclic embeddings

Justyna Kosakowska·Markus Schmidmeier

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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.

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BibTeX RIS

Justyna Kosakowska, Markus Schmidmeier. 2019-05-14. Finite direct sums of cyclic embeddings. https://arxiv.org/abs/1905.05688

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