Weights and Nilpotent Subgroups

2018/12/16 by Navarro, Gabriel, Sambale, Benjamin
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1812.06472

Abstract

In a finite group G, we consider nilpotent weights, and prove a pi-version of the Alperin Weight Conjecture for certain pi-separable groups. This widely generalizes an earlier result by I. M. Isaacs and the first author.

Related

• Weights for π-partial characters of π-separable groups
• Generic weights for finite reductive groups
• Jordan decomposition for weights and the blockwise Alperin weight conjecture
• Note on the reduction of Alperin's Conjecture
• A reduction theorem for the Galois Alperin weight conjecture