ON THE PERIODIC GROUPS SATURATED WITH FINITE SIMPLE GROUPS OF LIE TYPE B-3

Lytkina D. V.; Mazurov V. D.

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ON THE PERIODIC GROUPS SATURATED WITH FINITE SIMPLE GROUPS OF LIE TYPE B-3

机译：在周期性组上饱和有限的Lie型B-3

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摘要

Let M be a set of finite groups. Given a group G, denote by M(G) the set of all subgroups of G isomorphic to the elements of M. A group G is said to be saturated with groups from M (saturated with M, for brevity) if each finite subgroup of G lies in an element of M(G). We prove that a periodic group G saturated with M = {O-7(q) vertical bar q equivalent to +/- 3(mod 8)} is isomorphic to O-7(F) for some locally finite field F of odd characteristic.

机译：让M成为一组有限群体。给予G，由M（g）表示对M的元素的所有子组的M（g）。如果每个有限的子组 g位于m（g）的一个元素中。我们证明了用M = {O-7（Q）垂直条Q等同于+/- 3（MOD 8）}的周期性组G是O-7（F）的同构，对于奇数特征的一些局部有限的场f 。

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来源
《Siberian Mathematical Journal》 |2020年第3期|共5页
作者
Lytkina D. V.; Mazurov V. D.;
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作者单位

Siberian State Univ Telecommun &

Informat Sci Sobolev Inst Math Novosibirsk Russia;

Sobolev Inst Math Novosibirsk Russia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
periodic group; group of Lie type; orthogonal group; group saturated with a set of groups;

机译：定期组;LIE型组;正交组;组饱和一组组;

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专利

1. ON THE PERIODIC GROUPS SATURATED WITH FINITE SIMPLE GROUPS OF LIE TYPE B-3 [J] . Lytkina D. V., Mazurov V. D. Siberian Mathematical Journal . 2020,第3期

机译：在周期性组上饱和有限的Lie型B-3
2. Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type III. Semisimple classes in PSLn(q) [J] . Andruskiewitsch Nicolas, Carnovale Giovanna, Andres Garcia Gaston Revista matematica iberoamericana . 2017,第3期

机译：有限的尺寸Hopf代数在III型有限组中的有限组。 PSLN中的半单级（Q）
3. Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I. Non-semisimple classes in PSLn(q) [J] . Andruskiewitsch Nicolas, Carnovale Giovanna, Andres Garcia Gaston Journal of Algebra . 2015,第Null期

机译：Lie型I的有限简单群上的有限维指出Hopf代数。PSLn（q）中的非半简单类
4. Finite Dimensional Algebras, Quantum Groups and Finite Groups of Lie Type [C] . Jie Du International Conference on Representations of Algebras and Related Topics . 2004

机译：有限尺寸代数，量子组和有限组谎言类型
5. Unramified Brauer groups of finite simple groups of Lie type Al. [D] . Maciel, Jorge Arturo. 2001

机译：李型Al的有限简单群的无分支Brauer群。
6. On finite subgroups of SU(2) simple Lie algebras and the McKay correspondence [O] . Bertram Kostant 1984

机译：关于SU（2）简单李代数和McKay对应的有限子群
7. Periodic groups saturated with finite simple groups of lie type rank 1 [O] . Shlepkin, A. A. 2017

机译：周期组饱和有限简单的谎言类别等级1

ON THE PERIODIC GROUPS SATURATED WITH FINITE SIMPLE GROUPS OF LIE TYPE B-3

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