2-blocks with abelian hyperfocal subgroup of rank 3

2-blocks with abelian hyperfocal subgroup of rank 3
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DOI:
10.1016/j.jalgebra.2019.02.044
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发表时间:
2019-07
期刊:
影响因子:
0.9
通讯作者:
Xueqin Hu;Yuanyang Zhou
Xueqin Hu;Yuanyang Zhou
中科院分区:
数学3区
文献类型:
--
作者:
Xueqin Hu;Yuanyang Zhou

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本文计算了有限群G的块中不可约的普通特征标和不可约的Brauer特征标的个数,其2-子群PofG(它是块的亏群)上的相关融合系统具有秩为3的交换超焦点子群.
In this paper, we calculate the numbers of irreducible ordinary characters and irreducible Brauer characters in a block of a finite groupG, whose associated fusion system over a 2-subgroupPofG(which is a defect group of the block) has an abelian hyperfocal subgroup of rank 3.