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The maximal subgroups of the exceptional groups F_{4}


The maximal subgroups of the exceptional groups $F_{4}(q)$ , $E_ ...

This article produces a complete list of all maximal subgroups of the finite simple groups of type $F_{4}$ , $E_{6}$ and twisted $E_{6}$ ...

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

Abstract:This article produces a complete list of all maximal subgroups of the finite simple groups of type F_4, E_6 and twisted E_6 over ...

The maximal subgroups of the exceptional groups F4(q) , E6 ... - Pure

Using the trilinear form f corresponding to G, this reduces to solving systems of polynomial equations. Producing the polynomials requires ex- plicit ...

The maximal subgroups of the exceptional groups F_{4}(q), E_{6}(q ...

Abstract. This article produces a complete list of all maximal subgroups of the finite simple groups of type $F_{4}$ F 4 , $E_{6}$ E 6 and twisted $E_{6}$ E ...

The maximal subgroups of the exceptional groups F>4>(q) , E>6>(q ...

Fingerprint. Dive into the research topics of 'The maximal subgroups of the exceptional groups F4(q) , E6(q) and E62(q) and related almost ...

The maximal subgroups of the exceptional groups $F_{4}(q)$, $E_{6 ...

We also provide a new maximal subgroup of $^{2}\!F_{4}(8)$ F 4 2 ( 8 ) , correcting the maximal subgroups for that group from the list of Malle.

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

Using the trilinear form f corresponding to G, this reduces to solving systems of polynomial equations. Producing the polynomials requires ...

Maximal Subgroups of Exceptional Algebraic Groups - AMS Bookstore

Maximal Subgroups of Exceptional Algebraic Groups. Gary M. Seitz. Maximal ... X=F4, E6, E7. 16. X of classical type and rank(X)≥5. 17. The main theorems.

AMS eBooks: Memoirs of the American Mathematical Society

1. Introduction · 2. Notation and preliminaries · 3. Subgroup structure of exceptional algebraic groups · 4. Techniques for proving the results · 5. Modules for ...

A survey of maximal subgroups of exceptional groups of Lie type

A version of this theorem was also proved by Borovik [1], who in particular discovered the interesting maximal subgroup in part (iv). ... F∗(H), a simple group.

Maximal subgroups of small index of finite almost simple groups

There is a novelty subgroup [q^4]:(C_{q-1})^2, maximal under ... Craven, D.A.: The maximal subgroups of the exceptional groups {F}_4 ...

The maximal subgroups of 2F4(q2) - ScienceDirect

Shinoda K. The conjugacy classes of Chevalley groups of type (F4) over finite fields of characteristic 2. J. Fac. Sci. Univ. Tokyo, 21 (1974), pp. 133-159.

GAP (ref) - Chapter 39: Groups - Documentation

A conjugacy class is an external orbit (see ExternalOrbit (41.12-9)) of group elements with the group acting by conjugation on it. Thus element tests or ...

E8 (mathematics) - Wikipedia

In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same ...

Irreducible Subgroups of Simple Algebraic Groups – A Survey

... The maximal subgroups of positive dimension in exceptional algebraic groups, Mem. Amer. Math. Soc. 802, 2004.Google Scholar. [20]. Lübeck, F., Small degree ...

the local maximal subgroups of exceptional groups of lie type, finite ...

The fourth author also acknowledges the support of an NSF grant. 1991 Mathematics Subject Classification: 20E28, 20006, 20G40. Proc. London Math. Soc. (3) 64 ( ...

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.

F₄ in nLab

The group of automorphism with respect to the Jordan algebra structure ∘ \circ on the octonionic Albert algebra is the exceptional Lie group F 4.

The maximal subgroups of Fi22 | Cambridge Core

Kleidman, P. B. and Wilson, R. A.. The maximal subgroups of J 4. Proc ... The maximal subgroups of the exceptional groups $F_{4}(q)$, $E_{6}(q)$ and ...

Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads ...

The main result of this work is called "the main theorem” which is a list of maximal subgroups of the orthogonal group PΩ(10, 2) which has been proved by ...