不可被p整除的度字符的值域

IF 2.8 1区数学 Q1 MATHEMATICS

Forum of Mathematics Pi Pub Date : 2021-02-15 DOI:10.1017/fmp.2021.1

G. Navarro, P. Tiep

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引用次数: 12

摘要

摘要我们研究了不可被素数p整除的有限度群的不可约特征的值域。在$p=2$的情况下，我们完全刻画了这些域。为了实现这一点，我们将[ILNT]的主要结果推广到更高的非理性。我们对奇素数也这样做，只是在这种情况下，类似的结果对拟简单群的特征值的简单状态猜想取模。

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The fields of values of characters of degree not divisible by p

Abstract We study the fields of values of the irreducible characters of a finite group of degree not divisible by a prime p. In the case where $p=2$, we fully characterise these fields. In order to accomplish this, we generalise the main result of [ILNT] to higher irrationalities. We do the same for odd primes, except that in this case the analogous results hold modulo a simple-to-state conjecture on the character values of quasi-simple groups.

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来源期刊

Forum of Mathematics Pi Mathematics-Statistics and Probability

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

19 weeks

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