PARTIAL AUGMENTATIONS AND BRAUER CHARACTER VALUES OF TORSION UNITS IN GROUP RINGS
By Martin Hertweck. 2006
72 citations recorded by the source corpus.
For a torsion unit u of the integral group ring ZG of a nite group G, and a prime p which does not divide the order of u (but the order of G), a relation between the partial augmentations of u on the p-regular classes of G and Brauer character values is noted, analogous to the obvious relation between partial augmentations and ordinary character values. For non-solvable G, consequences concerning rational conjugacy of u to a group element are discussed, considering as examples the symmetric group S5 and the groups PSL(2; p f ).
Subfields: Artificial Intelligence, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/06c446ed63970f850e3daa31b2401f663c8bf5f0
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In Artificial Intelligence
In Discrete Mathematics and Combinatorics
In Geometry and Topology
Citations in the corpus
- Zassenhaus conjecture for central extensions of S 5 (2006, methodology): “The proofs are obtained by applying a procedure, introduced in [23] and subsequently called the Luthar–Passi method [6], in an extended version developed in [17].”