Abstract
We characterize finite groups having a cyclic Sylow -subgroup in terms of the action of a specific Galois automorphism on the principal -block of , for . We show that the analog statement for blocks with arbitrary defect group would follow from the blockwise McKay–Navarro conjecture.
Citation
Noelia Rizo. A. A. Schaeffer Fry. Carolina Vallejo. "Galois action on the principal block and cyclic Sylow subgroups." Algebra Number Theory 14 (7) 1953 - 1979, 2020. https://doi.org/10.2140/ant.2020.14.1953
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