Journal
ALGEBRA & NUMBER THEORY
Volume 14, Issue 7, Pages 1953-1979Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/ant.2020.14.1953
Keywords
principal p-block; Galois action on characters; cyclic Sylow p-subgroups; Alperin-McKay-Navarro Conjecture
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Funding
- National Security Agency [H98230-19-1-0119]
- Lyda Hill Foundation
- McGovern Foundation
- Microsoft Research
- Ministerio de Ciencia e Innovacion [PID2019-103854GB-I00]
- FEDER funds
- Ministerio de Ciencia e Innovacion, through the Severo Ochoa Programme for Centres of Excellence in RD [SEV-2015-0554]
- Spanish National Research Council, through the Ayuda extraordinaria a Centros de Excelencia Severo Ochoa [20205CEX001]
- National Science Foundation [DMS-1801156]
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We characterize finite groups G having a cyclic Sylow p-subgroup in terms of the action of a specific Galois automorphism on the principal p-block of G, 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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