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

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

2008-12-11

arxiv.org/abs/0812.2215v1

Mathematics

Group Theory

Scientific paper

In this paper, we consider lifts of $\pi$-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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