Orbit decompositions of orthogonal monoids and the orders of finite orthogonal monoids

Cao Youan; Li Zhenheng; Lei Jie

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Orbit decompositions of orthogonal monoids and the orders of finite orthogonal monoids

机译：正交轨道分解和有限正交黄色的秩序

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摘要

In this paper we determine the orbits of both an even orthogonal monoid and an even special orthogonal monoid, where G is the unit group of the even special orthogonal monoid. We then use the orbit decompositions to compute the orders of these monoids over a finite field.

机译：在本文中，我们确定均匀正交的长单晶和均匀性正交的晶体，其中G是均匀的特殊正交载体的单元组。然后，我们使用轨道分解来计算在有限字段上的这些载荷的顺序。

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来源
《Semigroup Forum》 |2018年第1期|共21页
作者
Cao Youan; Li Zhenheng; Lei Jie;
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作者单位

Xiangtan Univ Dept Math Xiangtan 411105 Hunan Peoples R China;

Hebei Univ Coll Math &

Informat Sci Baoding 071002 Hebei Peoples R China;

Hunan Inst Engn Dept Sci Xiangtan 411100 Hunan Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类群的推广;
关键词
Classical monoid; Orthogonal monoid; Bruhat decomposition; Weyl group;

机译：古典长单床;正交的长期;Bruhat分解;Weyl Group;

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1. Orbit decompositions of orthogonal monoids and the orders of finite orthogonal monoids [J] . Cao Youan, Li Zhenheng, Lei Jie Semigroup Forum . 2018,第1期

机译：正交轨道分解和有限正交黄色的秩序
2. The cross section lattices and Renner monoids of the odd special orthogonal algebraic monoids [J] . Zhenheng Li Semigroup Forum . 2003,第2期

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3. The Cross Section Lattices and Renner Monoids of the Odd Special Orthogonal Algebraic Monoids [J] . Zhenheng Li Semigroup Forum . 2003,第2期

机译：奇数特殊正交代数半边形的横截面格和Renner单半
4. On the Efficiency of Semi-Direct Products of Finite Cyclic Monoids by One-Relator Monoids [C] . Firat Ates, Eylem G. Karpuz, A. Dilek Gungor, International Conference on Numerical Analysis and Applied Mathematics . 2010

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5. Monoid Congruences, Binomial Ideals, and Their Decompositions. [D] . O'Neill, Christopher. 2014

机译：Monoid同余，二项式理想及其分解。
6. A characterization of finite abelian groups via sets of lengths in transfer Krull monoids [O] . Qinghai Zhong -1

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7. Idempotent lattices, Renner monoids and cross section lattices of the special orthogonal algebraic monoids [O] . Li Zhenheng 2003

机译：特殊正交代数半边形的等幂格，Renner单边形和截面格

Orbit decompositions of orthogonal monoids and the orders of finite orthogonal monoids

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