Abstract
We show that the number of maximal abelian subgroups of a finite p-group is congruent to 1 modulo p. Furthermore, if \(p > 2\), the same can be said for the maximal elementary abelian subgroups, and more generally, for the maximal abelian subgroups of any given p-power exponent.
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Yanovski, L.: A remark on the number of maximal abelian subgroups. arXiv:2104.11997 (2021)
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Isaacs, I.M., Yanovski, L. Counting maximal abelian subgroups of p-groups. Arch. Math. 119, 1–9 (2022). https://doi.org/10.1007/s00013-022-01739-9
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DOI: https://doi.org/10.1007/s00013-022-01739-9