Lifts of partial characters with respect to a chain of normal subgroups

2008/12/11 by Mark L. Lewis, Lewis, Mark L. · 1 citation
Computer Science · Mathematics · #20C15 #20C20 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.0812.2215

openalex publication_date 2008/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider lifts of π-partial characters with the property that the irreducible constituents of their restrictions to certain normal subgroups are also lifts. We will show that such a lift must be induced from what we call an inductive pair, and every character induced from an inductive pair is a such a lift. With this condition, we will get a lower bound on the number of such lifts.

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• A new generalization of the McKay conjecture for p-solvable groups

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