Characters of odd degree of symmetric groups

Characters of odd degree of symmetric groups
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奇数次对称群的性质

DOI:
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发表时间:
2016
期刊:
Journal of the London Mathematical Society
影响因子:
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通讯作者:
E. Giannelli
E. Giannelli
中科院分区:
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文献类型:
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作者:
E. Giannelli

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我们构造了S2 n的奇次不可约特征标与其Sylow 2-子群P2 n的线性特征标之间的自然双射。我们表明,这样的双射是很好地诱导的限制函子。最后,我们给出了Sn的不可约特征标χ的一个特征,使得χ对Pn的限制具有唯一的线性分量。
We construct a natural bijection between odd‐degree irreducible characters of S2n and linear characters of its Sylow 2‐subgroup P2n . We show that such a bijection is nicely induced by the restriction functor. We conclude with a characterization of the irreducible characters χ of Sn such that the restriction of χ to Pn has a unique linear constituent.
DOI: 10.1016/j.jalgebra.2017.01.021
发表时间: 2017
期刊: Journal of Algebra
影响因子: 0.9
作者:
Isaacs, I.M.;Navarro, Gabriel;Olsson, Jørn B.;Tiep, Pham Huu
通讯作者: Tiep, Pham Huu