Recognition of PSL(2, p) x PSL(2, p) by its complex group algebra

Khosravi Behrooz; Momen Zahra; Khosravi Behnam; Khosravi Bahman

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Recognition of PSL(2, p) x PSL(2, p) by its complex group algebra

机译：通过其复杂组代数识别PSL（2，P）X PSL（2，P）

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摘要

It is proved that every quasisimple group except covers of the alternating groups is uniquely determined up to isomorphism by the structure of CL, the complex group algebra of L. One of the next natural groups to be considered are the characteristically simple groups. In this paper, as the first step in this investigation we prove that if p > 3 is an odd prime number, then PSL(2, p) x PSL(2, p) is uniquely determined by the structure of its complex group algebra.

机译：证明了除交替群的覆盖外，每一个拟单群都由L的复群代数CL的结构唯一地决定同构。接下来要考虑的自然群之一是特征单群。在本文中，作为研究的第一步，我们证明了如果p>3是奇数素数，那么PSL（2，p）x PSL（2，p）是由其复群代数的结构唯一确定的。

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《Journal of algebra and its applications》 |2017年第2期|共9页
作者
Khosravi Behrooz; Momen Zahra; Khosravi Behnam; Khosravi Bahman;
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作者单位

Amirkabir Univ Technol Fac Math &

Comp Sci Dept Pure Math 424 Hafez Ave Tehran 15914 Iran;

Amirkabir Univ Technol Fac Math &

Comp Sci Dept Pure Math 424 Hafez Ave Tehran 15914 Iran;

Inst Adv Studies Basic Sci Dept Math Zanjan 4513766731 Iran;

Qom Univ Technol Fac Sci Dept Math Qom 371951519 Iran;

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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
Character degree; order; projective special linear group; characteristically simple group;

机译：性格学位;订单;投影特殊线性组;特征简单的群体;

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1. A RECOGNITION OF SIMPLE GROUPS PSL(3, q) BY THEIR ELEMENT ORDERS [J] . M. R. Darafsheh, A. R. Moghaddamfar, A.R. Zokayi 数学物理学报（英文版） . 2004,第001期
2. Flag-Transitive 3-(v, k, 3) Designs and PSL(2, q) Groups [J] . Shaojun Dai, Shangzhao Li 代数集刊（英文版） . 2021,第001期
3. Recognition of PSL(2, p) x PSL(2, p) by its complex group algebra [J] . Khosravi Behrooz, Momen Zahra, Khosravi Behnam, Journal of algebra and its applications . 2017,第2期

机译：通过其复杂组代数识别PSL（2，P）X PSL（2，P）
4. Groups with the same complex group algebras as some extensions of psl(2, pn) [J] . Somayeh Heydari, Neda Ahanjideh Mathematica Slovaca . 2017,第2期

机译：具有与PSL（2，PN）的一些延伸相同的复杂组代数的组
5. SOME EXTENSIONS OF PSL(2, p(2)) ARE UNIQUELY DETERMINED BY THEIR COMPLEX GROUP ALGEBRAS [J] . Khosravi Behrooz, Khosravi Behnam, Khosravi Bahman Communications in algebra . 2015,第7a8期

机译：PSL（2，p（2））的某些扩展由它们的复群代数唯一确定
6. Discrete-Phase Sequence Design with Stopband and PSL Constraints for Cognitive Radar [C] . Mohammad Alaee-Kerahroodi, Sumit Kumar, M. R. Bhavani Shankar, European Radar Conference . 2021

机译：用于认知雷达的空转和PSL约束的离散相位序列设计
7. On Hyperbolic Cone Metrics, Psl(2, R)-Character Varieties, and Branched Coverings [D] . Nguyen, Dat Pham. 2021

机译：在双曲锥度量，PSL（2，R） - 特征和各分支覆盖物
8. Analysis of Pseudomonas aeruginosa Conditional Psl Variants Reveals Roles for the Psl Polysaccharide in Adhesion and Maintaining Biofilm Structure Postattachment [O] . Luyan Ma, Kara D. Jackson, Rebecca M. Landry, 2006

机译：铜绿假单胞菌的条件性Psl变体的分析揭示了Psl多糖在粘附中的作用并在附着后保持生物膜结构。
9. Surjectivity of certain word maps on $${{mathrm{PSL}}}(2,mathbb {C})$$ PSL ( 2 , C ) and $${{mathrm{SL}}}(2,mathbb {C})$$ SL ( 2 , C ) [O] . Tatiana Bandman, Yuri G. Zarhin 2016

机译：$$ {{ mathrm {psl}}}（2， mathbb {c}）的某些单词映射的调试性$$ psl（2，c）和$$ {{ mathrm {sl}}}（2， mathbb {c}）$$ sl（2，c）
10. NASA EIWG PSL and Analytical Tools Presentation. [R] . Flegel, A. 2017

机译：Nasa EIWG psL和分析工具演示。

Recognition of PSL(2, p) x PSL(2, p) by its complex group algebra

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