On a Theorem of J. A. Green

On a Theorem of J. A. Green
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DOI:
10.1006/jabr.1998.7552
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发表时间:
1998-11
期刊:
影响因子:
0.9
通讯作者:
K. Yamauchi
K. Yamauchi
中科院分区:
数学3区
文献类型:
--
作者:
K. Yamauchi

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J. A.绿色证明了一个定理,它是R. Brauer(Proc. Camb. 51(1955),237-239)。本文在不使用Frobenius诱导特征标公式的情况下,给出了该定理的另一种具体证明,并对Brauer诱导定理作了一些评论。
J. A. Green proved a theorem which is the converse to a theorem of R. Brauer (Proc. Camb. Philos. Soc.51(1955), 237–239). In this article we give another proof of the theorem concretely without using Frobenius's formula for induced characters and we also state some comments on Brauer's induction theorem.