A Lower Bound on the Number of Generators of a Defect Group

Assuming that the statement of the Alperin–McKay–Navarro conjecture holds for a p -block B with defect group D , we show that the number of generators of D is bounded from below by the number of height-zero characters in B fixed by a specific element of the absolute Galois group of the rational numb...

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Bibliographic Details
Published in:Vietnam journal of mathematics 2023-07, Vol.51 (3), p.571-576
Main Author: Rodríguez, Carolina Vallejo
Format: Article
Language:English
Subjects:
Defects
Lower bounds
Mathematics
Mathematics and Statistics
Original Article
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Summary:Assuming that the statement of the Alperin–McKay–Navarro conjecture holds for a p -block B with defect group D , we show that the number of generators of D is bounded from below by the number of height-zero characters in B fixed by a specific element of the absolute Galois group of the rational numbers.
ISSN:2305-221X
2305-2228
DOI:10.1007/s10013-022-00586-z