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Conjugacy classes of non-normal subgroups of finite p-groups

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Abstract

Let G be a finite p-group, and let ν(G) denote the number of conjugacy classes of non-normal subgroups of G. It is known that either ν(G) ≤ 1 or ν(G) ≥ p. We determine all p-groups G with ν(G) ≤ p + 1.

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Correspondence to Rolf Brandl.

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Brandl, R. Conjugacy classes of non-normal subgroups of finite p-groups. Isr. J. Math. 195, 473–479 (2013). https://doi.org/10.1007/s11856-012-0156-3

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  • DOI: https://doi.org/10.1007/s11856-012-0156-3

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