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

This provides the first new exceptional groups of Lie type to have their maximal subgroups enumerated for three decades. The techniques are a ...

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 F4(q) , E6 ... - Pure

The computer use is more or less limited to determining the number of conjugacy classes of various subgroups in the algebraic group. For the finite groups and ...

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

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. This provides ...

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 ${}^2F_4(8)$, correcting the list of maximal subgroups for that group from the list of Gunter Malle. This provides the ...

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.

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 Closed Subgroups of $ F_4 $ - Mathematics Stack Exchange

which says that all Lie primitive subgroups (Lie primitive means not contained in any positive dimensional closed subgroup) of F4 are contained ...

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 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 ...

Generic finite subgroups, associated to small finite fields, of ...

The state of the art for subgroups PSL2(q), which constitute most of the cases where q>9 in [LS], is now given by David Craven's Memoir ...

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.

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

NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. We find the conjugacy classes ...

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

In this note we give explicit descriptions of certain maximal closed, con- nected subgroups of the exceptional algebraic groups F4 and E,, defined.

Maximal subgroups of exceptional groups of Lie type

maximal subgroups. Theorem (Magaard, Aschbacher). Let G be F4 for q a power of p ≥ 5 or E6 for any q. If M is a maximal subgroup of G and M ...

SUBGROUPS OF MAXIMAL RANK IN FINITE EXCEPTIONAL ...

The case where (Ga)' =2E6(q) is dealt with similarly; the relevant Weyl group calculations can be found in [14, p. 50]. EXAMPLE 1.5. Suppose now that G = F4, Ga ...

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 ...

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.

[2102.11096] On medium-rank Lie primitive and maximal subgroups ...

Title:On medium-rank Lie primitive and maximal subgroups of exceptional groups of Lie type ; (or arXiv:2102.11096v3 [math.GR] for this version).