Principal blocks with 5 irreducible characters

DOI10.1016/J.JALGEBRA.2021.06.009arXiv2010.15422MaRDI QIDQ6352525

Carolina Vallejo Rodríguez, Amanda A. Schaeffer Fry, Noelia Rizo

Publication date: 29 October 2020

Abstract: We show that if the principal p-block of a finite group G contains exactly 5 irreducible ordinary characters, then a Sylow p-subgroup of G has order 5, 7 or is isomorphic to one of the non-abelian 2-groups of order 8.

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20)

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