Degree divisibility in character correspondences
Degree divisibility in character correspondences
复制标题
字符对应中的度整除性
DOI：
10.1016/j.jalgebra.2006.06.010
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发表时间：
2007
影响因子：
0.9
通讯作者：
A. Turull
中科院分区：
文献类型：
--
作者：
A. Turull
作者最近的结果证明了某些不可约特征标集的双射的存在性，这些双射满足许多好的性质。特别是，这些对应关系意味着加强版本的麦凯猜想的可解有限群，考虑到领域的价值观和舒尔指数。本文证明了这些对应还具有对应特征标的度除原特征标的度的附加性质，并对商也作了一些讨论。
Recent results of the author prove the existence of bijections of certain sets of irreducible characters which satisfy many nice properties. In particular, these correspondences imply a strengthened version of the McKay Conjecture for solvable finite groups which takes into account fields of values and Schur indices. In the present paper, we prove that these correspondences have also the additional property that the degree of the corresponding character divides the degree of the original character, and we say something about the quotient as well.