Prime divisors of character degrees
Prime divisors of character degrees
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DOI：
10.1515/jgt.2008.019
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发表时间：
2008-05
期刊：
影响因子：
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通讯作者：
A. Moretó;P. Tiep
中科院分区：
文献类型：
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作者：
A. Moretó;P. Tiep
摘要Pálfy证明了：给定一个可解群G，且G的特征标度的一组素因数至少为3，则存在两个不同的素数使得PQ除以某一特征标度。可解性假设不能从Pálfy定理中去掉，但我们证明了同样的结论对任意有限群都成立。
Abstract Pálfy proved that given a solvable group G and a set of prime divisors of character degrees of G of cardinality at least 3, there exist two different primes such that pq divides some character degree. The solvability hypothesis cannot be removed from Pálfy's theorem, but we show that the same conclusion holds for arbitrary finite groups if .