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Maximal Closed Subgroups of $ F_4 $


Maximal Closed Subgroups of $ F_4 $ - Mathematics Stack Exchange

The SL(3,3) is already accounted for in the ASL(3,3) subgroup of F4 confirmed in multiple sources. So SL(3,3) is not a Socle but rather a ...

The maximal subgroups of the Chevalley groups F4(F) where F is a ...

The principal results are as follows: SUBALGEBRA THEOREM: Let F be a finite or algebraically closed field of characteristic not equal to 2,3. Let H be a ...

The Maximal Subgroups of the Exceptional Groups $F_4(q)$, $E_6 ...

Abstract page for arXiv paper 2103.04869: The Maximal Subgroups of the Exceptional Groups $F_4(q)$, $E_6(q)$ and ${}^2E_6(q)$ and Related ...

The maximal subgroups of the Chevalley groups F4(F) where F is a ...

The principal results are as follows: SUBALGEBRA THEOREM: Let F be a finite or algebraically closed field of characteristic not equal to 2,3.

The maximal subgroups of 2F4(q2) - ScienceDirect

The maximal subgroups of 2F4(q2). Author links open overlay panel. Gunter ... Your Privacy [`dialog closed`]. Feedback.

Maximal subgroups of projective general linear group - MathOverflow

The subgroups in class C6 are the normalizers of classical groups in SLn. For n even, the normalizer of SOn ...

The Maximal Subgroups of the Exceptional Groups F4(q), E6 ... - arXiv

For PSL2(8), see Theorem 6.8. closed field of characteristic p, and let σ be a Frobenius endomorphism of G, writing Gsc for Gσ. Thus Gsc is one ...

A Construction of Certain Maximal Subgroups of the Algebraic ...

The subgroups are maximal among closed connected subgroups qf F4. (d) If p = 5, the simply connected, simple algebraic group of type E, has two conjugacya ...

The maximal subgroups of F 4 (2) and its automorphism group

Abstract. We completely determine the conjugacy classes of maximal subgroups of the finite simple group F4(2) of Lie type, and of its automorphism group.

A survey of maximal subgroups of exceptional groups of Lie type

Let G be a simple algebraic group of exceptional type G2,F4,E6,E7 or E8 over an algebraically closed field K of characteristic p. The analysis of maximal ...

Maximal 2-local subgroups of F4(q) and E6η(q) - ScienceDirect

We classify maximal 2-local subgroups of the finite groups F 4 ( q ) and E 6 η ( q ) when q is odd. Introduction. Let G be a finite group whose order is ...

Finite subgroups of F_4 (C) and E_6 (C) - Pure

THEOREM (Dynkin). Suppose that L is a maximal connected closed semi-simple Lie subgroup of G of positiye dimension . (i) If G 5E˜ ...

The Maximal Subgroups of the Exceptional Groups $F_4(q)$, $E_6 ...

Download Citation | The Maximal Subgroups of the Exceptional Groups $F_4(q)$, $E_6(q)$ and ${}^2E_6(q)$ and Related Almost Simple Groups | This article ...

Finite subgroups of F4([Copf ]) and E6([Copf ]) | Cambridge Core

Here, we call a finite subgroup of a complex Lie group $G$ {\sl Lie primitive\/} if it is not contained in a proper closed subgroup of $G$ of positive dimension ...

The Reductive Subgroups of F4 - Semantic Scholar

... subgroups of $F_4$ * Appendices * Bibliography. ... Keywords: maximal closed connected subgroups ; simply connected simple algebraic group ...

The maximal subgroups of positive dimension in exceptional ...

Let G be a simple algebraic group of exceptional type G2,F4,E6,E7 or E8 over an algebraically closed field K of characteristic p (where we set p = ∞ if K has ...

Maximal Subgroups of Compact Lie Groups - Heldermann-Verlag

... F4, G2. Z2 for. An (n ⩾ 2), Dn (n ⩾ 5), E6. S3 for. D4... . Therefore ... classes: closed maximal Lie subgroups and dense maximal Lie subgroups.

The maximal subgroups of positive dimension in exceptional ...

Let G be a simple algebraic group of exceptional type G2,F4,E6,E7 or E8 over an algebraically closed field K of characteristic p (where we set p = ∞ if K has ...

SUBGROUPS OF MAXIMAL RANK IN FINITE EXCEPTIONAL ...

X of maximal rank, where D is a a-stable closed connected reductive subgroup of ... NORTON and R. A. WILSON, 'The maximal subgroups of F4{2) and its automorphism ...

F4 (mathematics) - Wikipedia

In mathematics, F4 is a Lie group and also its Lie algebra f4. It is one of the five exceptional simple Lie groups. F4 has rank 4 and dimension 52.