Principal blocks with 5 irreducible characters Articles uri icon

authors

  • Rizo, Noelia
  • Schaeffer Fry, A. A.
  • VALLEJO RODRIGUEZ, CAROLINA

publication date

  • November 2021

start page

  • 316

end page

  • 337

volume

  • 585

International Standard Serial Number (ISSN)

  • 0021-8693

Electronic International Standard Serial Number (EISSN)

  • 1090-266X

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.

subjects

  • Mathematics

keywords

  • brauer p-blocks; defect group; k(b); principal p-block