On conjugacy of \(\operatorname{Alt}_5\)-subgroups of Borovik subgroup of group \(E_8(q)\)

zbMath1396.20045MaRDI QIDQ1669775

Anton Vladimirovich Konygin

Publication date: 4 September 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

\(E_8(q)\)Borovik subgroupconjugated classsubgroup \(\operatorname{Alt}_5\)

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Representation theory for linear algebraic groups (20G05) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Conjugacy classes of elements in the Borovik group
• Homomorphisms of the alternating group \({\mathcal A}_5\) into reductive groups.
• Conjugacy of 𝐴𝑙𝑡₅ and 𝑆𝐿(2,5) subgroups of 𝐸₈(𝐶)
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