Journal
JOURNAL OF ALGEBRA
Volume 594, Issue -, Pages 170-193Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2021.11.035
Keywords
Character degrees; Defect groups; Derived length
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Funding
- Spanish Ministerio de Ciencia e Innovacion [PID2019-103854GB-I00]
- FEDER funds
- Universitat de Valencia [UV-INV-PREDOC20-1356056]
- National Science Foundation [DMS-2100912]
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This article investigates the relationship between the derived length of a defect group and the number of degrees of irreducible characters in a block, providing new evidence to support this statement.
A recent question of Gabriel Navarro asks whether it is true that the derived length of a defect group is less than or equal to the number of degrees of irreducible characters in a block. In this article, we bring new evidence towards the validity of this statement.(c) 2021 Elsevier Inc. All rights reserved.
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