A nilpotency criterion related to the minimal degree of a nonlinear irreducible character

Zhou Feng; Liu Heguo

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A nilpotency criterion related to the minimal degree of a nonlinear irreducible character

机译：与非线性不可缩伤特性最小程度相关的尼序标准

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摘要

Let G be a finite nonabelian group, let f(G) be the minimal degree of a nonlinear irreducible character of G and suppose that vertical bar G(n+1)vertical bar <= f(G) for some positive integer n. Then G is nilpotent.

机译：让G成为有限的非颠轴组，让F（g）是G的非线性不可缩短的特征的最小程度，并假设对于一些正整数N的垂直条G（n + 1）垂直条<= F（g）。然后g是尼利特。

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来源
《Journal of algebra and its applications》 |2017年第6期|共4页
作者
Zhou Feng; Liu Heguo;
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作者单位

Hubei Univ Sch Math &

Stat Wuhan 430062 Peoples R China;

Hubei Univ Sch Math &

Stat Wuhan 430062 Peoples R China;

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收录信息
原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Finite groups; nilpotent; character degree; minimal degree;

机译：有限群;尼利特;性格学位;最小程度;

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专利

1. A nilpotency criterion related to the minimal degree of a nonlinear irreducible character [J] . Zhou Feng, Liu Heguo Journal of algebra and its applications . 2017,第6期

机译：与非线性不可缩伤特性最小程度相关的尼序标准
2. 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
3. Finite solvable groups with at most two nonlinear irreducible characters of each degree [J] . Qian GH, Wang YM, Wei HQ Journal of Algebra . 2008,第8期

机译：有限可解基团，每个度数最多具有两个非线性不可约性
4. Model reference adaptive control for nonlinear systems with unknown degrees (minimal number of tuning parameters) [C] . Miyasato, Y. . 1995

机译：未知度（调整参数的最小数量）的非线性系统的模型参考自适应控制
5. The Average of Some Irreducible Character Degrees [D] . Elsharif, Ramadan. 2021

机译：某种不可缩小的人物的平均值
6. Quantum computation based on photonic systems with two degrees of freedom assisted by the weak cross-Kerr nonlinearity [O] . Ming-Xing Luo, Hui-Ran Li, Hong Lai -1

机译：弱交叉克尔非线性辅助基于具有两个自由度的光子系统的量子计算
7. On minimal vertices and the degrees of irreducible characters [O] . Cline Ed 1973

机译：关于最小顶点和不可约字符的度

A nilpotency criterion related to the minimal degree of a nonlinear irreducible character

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