Higman's PORC conjecture for a family of groups

Details Higman's PORC conjecture for a family of groups Higman's PORC conjecture for a family of groups

2007-10-01

arxiv.org/abs/0710.0394v1

Mathematics

Group Theory

17 pages

Scientific paper

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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