Conjugacy of Embeddings of Alternating Groups in Exceptional Lie Groups

Authors

Darrin D. Frey, Cedarville UniversityFollow
Alex Ryba, CUNY Queens College

Document Type

Article

Publication Date

12-2018

Journal Title

Bulletin of the Institute of Mathematics

Volume

13

Issue

4

First Page

463

Last Page

480

DOI

10.21915/BIMAS.2018406

Abstract

We discuss conjugacy classes of embeddings of Alternating groups in Exceptional Lie groups. We settle the count of classes of embeddings in E8 of a subgroup Alt10 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.

Keywords

Exceptional Lie Groups

Recommended Citation

Frey, Darrin D. and Ryba, Alex, "Conjugacy of Embeddings of Alternating Groups in Exceptional Lie Groups" (2018). Science and Mathematics Faculty Publications. 371.
https://digitalcommons.cedarville.edu/science_and_mathematics_publications/371