CONJUGACY OF EMBEDDINGS OF ALTERNATING GROUPS IN EXCEPTIONAL LIE GROUPS

被引：1

作者：

Frey, Darrin ^{[1
]}

Ryba, Alex ^{[2
]}

机构：

[1] Cedarville Univ, Dept Sci & Math, 251 N Main St, Cedarville, OH 45314 USA

[2] CUNY Queens Coll, Dept Comp Sci, Flushing, NY 11367 USA

来源：

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2018年 / 13卷 / 04期

关键词：

Alternating group; exceptional group of Lie type; relative eigenvector;

D O I：

10.21915/BIMAS.2018406

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss conjugacy classes of embeddings of Alternating groups in Exceptional Lie groups. We settle the count of classes of embeddings in E-8 of a subgroup Alt(10) and its double cover. This involves computation and the reduction of the problems to relative eigenvector problems. We update previously published tables of embeddings. We comment on the improvements present in our table and on the remaining unsettled conjugacy questions.

引用

页码：463 / 480

页数：16

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