The paper proves the p=2 principal-block case of a continuity conjecture for character rationality and conjectures a local criterion for the level-1 gap.
On almost $p$-rational characters in principal blocks
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Let p be a prime. In this paper we provide a lower bound for the number of almost p-rational characters of degree coprime to p in the principal p-block of a finite group of order divisible by p. We further describe the p-local structure of the groups for which the above-mentioned bound is sharp.
citation-role summary
background 1
citation-polarity summary
fields
math.RT 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
The continuity of $p$-rationality of characters and the principal block
The paper proves the p=2 principal-block case of a continuity conjecture for character rationality and conjectures a local criterion for the level-1 gap.