Higman's PORC conjecture for a family of groups
Abstract
We prove that the number of groups of order pn 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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.