Embeddings of the group \(L(2,13)\) in groups of Lie type \(E_ 6\)

DOI10.1007/BF02808108zbMath0793.20044OpenAlexW2034601082WikidataQ115391570 ScholiaQ115391570MaRDI QIDQ689844

David B. Wales, Arjeh M. Cohen

Publication date: 2 January 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02808108

zbMATH Keywords

finite subgroupscomplex exceptional group \(E_ 6(\mathbb{C})\)conjugacy class of subgroupsirreducible closed subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (2)

The maximal subgroups of the exceptional groups \(F_4(q)\), \(E_6(q)\) and \(^2\!E_6(q)\) and related almost simple groups ⋮ Finite simple groups which projectively embed in an exceptional Lie group are classified!

Cites Work

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• The 27-dimensional module for \(E_ 6\). IV
• Chevalley groups of type \(G_ 2\) as the group of a trilinear form
• The 27-dimensional module for \(E_ 6\). I
• A construction of certain maximal subgroups of the algebraic groups \(E_ 6\) and \(F_ 4\)
• The 27-Dimensional Module for E 6 , III
• Finite subgroups of G₂,(c)
• The 27-Dimensional Module for E₆ , II
• The groupL(2 61) embeds in t h e Lie group of typeE₈

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