Representation Growth in positive characteristic and conjugacy classes of maximal subgroups
Representation Growth in positive characteristic and conjugacy classes of maximal subgroups
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最大子群的正特征和共轭类的表示增长
DOI：
10.1215/00127094-1507300
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
P. Tiep
中科院分区：
文献类型：
--
作者：
R. Guralnick;M. Larsen;P. Tiep
本文研究了具有正特征的交错对称群的表示增长和有限李型群的限制表示增长。我们证明了维数至多为n的表示的个数由n中的一个低次多项式限定。由此证明了有限几乎单群G的极大子群的共轭类的个数至多为O（log| G|).
We study the representation growth of alternating and symmetric groups in positive characteristic and restricted representation growth for the finite groups of Lie type. We show that the the number of representations of dimension at most n is bounded by a low degree polynomial in n. As a consequence, we show that the number of conjugacy classes of maximal subgroups of a finite almost simple group G is at most O(log|G|).