Conjugacy of \(\text{Alt}_5\) and \(\text{SL}(2,5)\) subgroups of \(E_6(\mathbb{C})\), \(F_4(\mathbb{C})\), and a subgroup of \(\mathbb{E}_8(\mathbb{C})\) of type \(A_2E_6\)

DOI10.1006/JABR.1997.7214zbMath0908.20036OpenAlexW2101060539MaRDI QIDQ1265503

Darrin D. Frey

Publication date: 18 November 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7214

zbMATH Keywords

conjugacyembeddingsexceptional Lie groupsfinite quasisimple groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Discrete subgroups of Lie groups (22E40) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (4)

Polyhedral groups in ⋮ Embeddings of \(Alt_n\) and its perfect covers for \(n\geq 6\) in exceptional complex Lie groups. ⋮ On Non-Generic Finite Subgroups of Exceptional Algebraic Groups ⋮ Homomorphisms of the alternating group \({\mathcal A}_5\) into reductive groups.

Cites Work

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• Elementary abelian p-subgroups of algebraic groups
• Chevalley groups of type \(G_ 2\) as the group of a trilinear form
• The 27-dimensional module for \(E_ 6\). I
• Basic conjugacy theorems for \(G_ 2\)
• Examples for embeddings of groups \(\text{PSL}_ 2(F_ p)\) into simple Lie groups
• Characters of Elements of Finite Order in Lie Groups
• Finite subgroups of G₂,(c)
• The 27-Dimensional Module for E₆ , II
• Finite Subgroups of F ₄ (C) and E ₆ (C)
• The groupL(2 61) embeds in t h e Lie group of typeE₈

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