Characters and generation of Sylow 2-subgroups
Copyright policy )Characters and generation of Sylow 2-subgroups
We show that the character table of a finite group G G determines whether a Sylow 2-subgroup of G 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.
- University of Valencia Spain
- Carlos III University of Madrid Spain
- University of Florence Italy
- Metropolitan State University of Denver United States
Ordinary representations and characters, character tables, Modular representations and characters, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, Sylow 2-subgroups, principal blocks, Alperin-McKay-Navarro conjecture, Alperin–Galois– McKay conjecture; character tables; principal blocks; Sylow 2-subgroups
Ordinary representations and characters, character tables, Modular representations and characters, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, Sylow 2-subgroups, principal blocks, Alperin-McKay-Navarro conjecture, Alperin–Galois– McKay conjecture; character tables; principal blocks; Sylow 2-subgroups
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