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arXiv · 1912.05329

Galois action on the principal block and cyclic Sylow subgroups

Noelia Rizo·A. A. Schaeffer Fry·Carolina Vallejo
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Abstract

We characterize finite groups having a cyclic Sylow p-subgroup in terms of the action of a specific Galois automorphism on the principal p-block for p=2,3. We show that the analog statement for blocks with arbitrary defect group would follow from the blockwise McKay-Navarro conjecture.

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BibTeXRIS

Noelia Rizo, A. A. Schaeffer Fry, Carolina Vallejo. 2020-03-13. Galois action on the principal block and cyclic Sylow subgroups. https://doi.org/10.2140/ant.2020.14.1953

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