.png){kind=icon}
.png){kind=icon}
Return
Linear characters for p-basic groups
.png){kind=icon}
PRE
AI
DOI：10.1016/j.jalgebra.2025.11.027.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In a recent paper, Turull showed that associated with any p-block B with cyclic defect group of any finite group are two linear characters. These two linear characters allow us to calculate easily the Hasse invariant of the characters of B. A different method to describe these Hasse invariant was proved by Nebe. In a different paper, Turull showed that the Hasse invariant of any irreducible character of a finite group G can be calculated from the Hasse invariant of the p-basic groups. In the present paper, we describe the two linear characters associated with any of the relevant characters of the p-basic groups, and we obtain in this way their Hasse invariants as well. The formulas are based on a single exceptional character of Band are fairly straightforward and uniform. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Keywords:
Brauer group
Finite groups
Representations
Schur index
Journal
J
IF:
0.8
Papers:
277
Citations:
0
