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arXiv · 1805.11690

On the total number of principal series of a finite abelian group

Lucian Bentea·Marius Tărnăuceanu
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Abstract

In this note we give a bijective proof for the explicit formula giving the total number of principal series of the direct product $\mathbb{Z}_{p^{\alpha_1}} \times \mathbb{Z}_{p^{\alpha_2}}$, where $p$ is a prime number. This new proof is easier to generalize to arbitrary finite abelian groups than the original direct calculation method.

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Lucian Bentea, Marius Tărnăuceanu. 2018-05-21. On the total number of principal series of a finite abelian group. https://arxiv.org/abs/1805.11690

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