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arXiv · 0710.0394

Higman's PORC conjecture for a family of groups

Anton Evseev
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Abstract

We prove that the number of groups of order $p^n$ whose Frattini subgroup is central is for fixed $n$ a PORC (`polynomial on residue classes') function of $p$. This extends a result of G. Higman.

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Anton Evseev. 2007-10-01. Higman's PORC conjecture for a family of groups. https://doi.org/10.1112/blms%2Fbdn021

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