关于Frobenius群的一个特征标刻划
A Characterization of Frobenius Groups with Characters
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摘要: 给出了Frobenius群的一个特征标刻划:设G是一个有限群, 1≠NG,则G是以N为Frobenius核的Frobenius群的充要条件是对每个1N≠θ∈IrrN, θG不可约.
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关键词:
- 有限群 /
- 特征标 /
- Frobenius群
Abstract: We give a characterization of Frobenius groups with cha racters. Let G be a finite groups and NG. Then G is a Frobenius gr o up with Frobenius kernel N if and only is θG is irreducible for each 1N≠θ∈IrrN.-
Key words:
- characters; finite groups /
- Frobenius group /
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