THE SET OF CHARACTER DEGREES OF A FINITE GROUP DOES NOT DETERMINE ITS SOLVABILITY

Navarro Gabriel

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THE SET OF CHARACTER DEGREES OF A FINITE GROUP DOES NOT DETERMINE ITS SOLVABILITY

机译：一组有限度的字符集并不能确定其可解性

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摘要

We find a pair of groups, one solvable and the other non-solvable, with the same set of character degrees.

机译：我们发现一对具有一组相同字符度数的组，一个可求解，另一个不可求解。

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《Proceedings of the American Mathematical Society》 |2015年第3期|共2页
作者
Navarro Gabriel;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Character degrees; solvability; finite groups;

机译：字符度;可解性;有限群;

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专利

1. THE SET OF CHARACTER DEGREES OF A FINITE GROUP DOES NOT DETERMINE ITS SOLVABILITY [J] . Navarro Gabriel Proceedings of the American Mathematical Society . 2015,第3期

机译：一组有限度的字符集并不能确定其可解性
2. A note on character degrees of finite solvable groups [J] . Zhang JP. Communications in algebra . 2000,第9期

机译：关于有限可解群的字符度的注记
3. FINITE SOLVABLE GROUPS IN WHICH ONLY TWO NONLINEAR IRREDUCIBLE CHARACTERS HAVE EQUAL DEGREES [J] . Berkovich Y. Journal of Algebra . 1996,第2期

机译：只有两个非线性不可约字符的有限可解群
4. A uniform upper bound for the character degree sums and Gelfand-Graev-like characters for finite simple groups [C] . Pablo Spiga, Alexandre Zalesski Conference on Group Theory, Combinatorics, and Computing . 2014

机译：用于有限简单组的特征学位和格劳德 - Graev的字符的统一上限
5. Determining group structure from the sets of character degrees. [D] . Aziziheris, Kamal. 2011

机译：从字符程度集确定组结构。
6. An Interface-Fitted Finite Element Level Set Method with Application to Solidification and Solvation [O] . Bo Li, John Shopple -1

机译：与应用凝固和溶剂化的接口配有限元水平集方法
7. Finite Solvable Groups in Which Only Two Nonlinear Irreducible Characters Have Equal Degrees [O] . Berkovich Yakov 1996

机译：仅两个非线性不可约性具有相等度数的有限可解组
8. A Finite Procedure for Determining if a Quadratic Form is Bounded Below on a Closed Polyhedral Convex Set. [R] . eaves, b. curtis 1977

机译：确定二次形式是否在闭合多面体凸集下面的有限过程。

THE SET OF CHARACTER DEGREES OF A FINITE GROUP DOES NOT DETERMINE ITS SOLVABILITY

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