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2018 / December Volume 13 No.4
Conjugacy of Embeddings of Alternating Groups in Exceptional Lie Groups
Published Date
2018 / December
Title
Conjugacy of Embeddings of Alternating Groups in Exceptional Lie Groups
Author
Darrin Frey, Alex Ryba
Keyword
Alternating group, Exceptional Group of Lie type, Relative Eigenvector.
Download
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Pagination
463-480
Abstract
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.
DOI
10.21915/BIMAS.2018406
https://doi.org/10.21915/BIMAS.2018406
AMS Subject
Classification
20D06, 20E28
Received
2018-07-31
Accepted
2018-08-05
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