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arXiv · 1405.5818

A weighted M\"obius function

Derek Garton
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Abstract

For a fixed odd prime $\ell$, we define a variant of the classical M\"{o}bius function on the poset of isomorphism classes of finite abelian $\ell$-groups, then we prove an analog of Hall's theorem on the vanishing of the M\"{o}bius function.

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Derek Garton. 2014-05-22. A weighted M\"obius function. https://doi.org/10.1016/j.disc.2017.04.014

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