Basic conjugacy theorems for \(G_ 2\)

DOI10.1007/BF01884298zbMath0832.22013OpenAlexW2066382138MaRDI QIDQ1899733

Robert L. jun. Griess

Publication date: 20 November 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144298

zbMATH Keywords

conjugacy theoremlocal subgroup\(O(7,\mathbb{C})\)7- dimensional modulefusion controlstrongly fused

Mathematics Subject Classification ID

General properties and structure of other Lie groups (22E20) Associated Lie structures for groups (20F40)

Related Items (12)

Elementary abelian 2-subgroups of compact Lie groups ⋮ The Local Langlands Conjecture for ⋮ On Swan exponents of symmetric and exterior square Galois representations ⋮ Polyhedral groups in ⋮ A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$ ⋮ Embeddings of \(Alt_n\) and its perfect covers for \(n\geq 6\) in exceptional complex Lie groups. ⋮ Spectral measures for G2, II: Finite subgroups ⋮ Subgroups of \(\mathrm{Spin}(7)\) or \(\mathrm{SO}(7)\) with each element conjugate to some element of \(\mathrm{G}_2\) and applications to automorphic forms ⋮ Symmetric cubic surfaces and 𝐆₂ character varieties ⋮ 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 \(A_2E_6\) ⋮ Acceptable compact Lie groups ⋮ Finite simple groups which projectively embed in an exceptional Lie group are classified!

Cites Work

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• Elementary abelian p-subgroups of algebraic groups
• On the conjugacy of element-conjugate homomorphisms
• Cayley numbers and normal simple Lie algebras of type \(G\)
• Sur certaines sous-groupes des groupes de Lie compacts
• Finite subgroups of G₂,(c)
• Schur Multipliers of Finite Simple Groups of Lie Type
• Finite Linear Groups of Prime Degree

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