Characters and generation of Sylow 2-subgroups Articles uri icon

authors

  • NAVARRO, GABRIEL
  • RIZO, NOELIA
  • SCHAEFFER FRY, A.A.
  • VALLEJO RODRIGUEZ, CAROLINA

publication date

  • February 2021

start page

  • 142

end page

  • 165

volume

  • 25

International Standard Serial Number (ISSN)

  • 1088-4165

abstract

  • We show that the character table of a finite group G determines
    whether a Sylow 2-subgroup of G is generated by 2 elements, in terms of the
    Galois action on characters. Our proof of this result requires the use of the
    Classification of Finite Simple Groups and provides new evidence for the so-far
    elusive Alperin–McKay–Navarro conjecture.

subjects

  • Mathematics

keywords

  • sylow 2-subgroups; charactertables; principal blocks;alperin–galois-mckay conjecture