计数Brauer特征的提升
群论
2010-07-20 v1
摘要
本文研究了p为奇素数时p-可解群中Brauer特征提升的行为。主要结果表明，如果是可解群的一个Brauer特征，且具有阿贝尔顶点子群Q，则在Irr(G)中的提升个数至多为|Q|。为了实现这一结果，我们发展了关于p-可解群中Brauer特征提升的若干结论，这些结论先前仅对奇阶群成立。
引用
@article{arxiv.1007.3011,
title = {Counting lifts of Brauer characters},
author = {James P. Cossey and Mark L. Lewis},
journal= {arXiv preprint arXiv:1007.3011},
year = {2010}
}
备注
A different proof of Theorem 1 is in the paper "The number of lifts of Brauer characters with a normal vertex" by J.P. Cossey, M.L.Lewis, and G. Navarro. Hence, we do not expect to try to publish this note. We feel that the proof in this paper is of independent interest