Counting the Number of Nonlinear Irreducible Characters of a Finite Group
Counting the Number of Nonlinear Irreducible Characters of a Finite Group
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DOI：
10.1080/00927870802112884
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发表时间：
2009-05
影响因子：
0.7
通讯作者：
K. Aziziheris;M. Lewis
中科院分区：
文献类型：
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作者：
K. Aziziheris;M. Lewis
假设G是一个有限群。我们证明了G的非线性不可约特征标的个数至少为。此外，我们证明了这个界的获得，当且仅当|G′| = 2。我们表明，这个界限可以在许多不同的附加假设下得到改善。
Suppose G is a finite group. We show that the number of nonlinear irreducible character of G is at least . In addition, we prove that this bound is obtained if and only if |G′| = 2. We show that this bound can be improved under many different additional hypotheses.