[PDF] SUBGROUPS OF MAXIMAL RANK IN FINITE EXCEPTIONAL ...

SUBGROUPS OF MAXIMAL RANK IN FINITE EXCEPTIONAL ...

subgroups in [28, Theorem 2]: in [9] it is shown that any local maximal subgroup of a finite exceptional group of Lie type is either a subgroup of maximal rank ...

The purpose of this paper is to investigate a large and natural class of maximal subgroups of the finite exceptional groups of Lie type, which we call ...

Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type

Martin W. Liebeck, Jan Saxl, Gary M. Seitz; Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type, Proceedings of the London Mathematical Soci.

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

This article produces a complete list of all maximal subgroups of the finite simple groups of type. F4, E6 and twisted E6 over all finite ...

Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type

Department of Mathematics, University of Oregon, Eugene, Oregon, 97403 U.S.A. ... Information. PDF · PDF. Tools.

Maximal subgroups of large rank in exceptional groups of Lie type

Here is our main result on maximal subgroups. Theorem 1 Let L be a finite almost simple group with F∗(L)=(Gσ)0 and. G of exceptional type in characteristic ...

A survey of maximal subgroups of exceptional groups of Lie type

The flavour of his result is that apart from parabolic subgroups and reductive subgroups of maximal rank, there are just a few further conjugacy classes of ...

Maximal subgroups of exceptional groups - University of Birmingham

Let M be a maximal subgroup of a finite exceptional group of Lie type. ... A (finite) subgroup is large rank if it has untwisted rank more than.

Maximal subgroups of exceptional groups and Quillen's dimension

The group G satisfies the Quillen dimension property at p if Ap(G) has nonzero homology in the maximal possible degree, which is the p-rank of G minus 1. For ...

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

Then either D is parabolic or a subgroup of maximal rank, or G = E7 , l i= 2,. D = D4 and NG(D) = (22 x D4 ).S3 (with Cu(D) = 22 as in Table 1). THEOREM 3. Let ...

(PDF) Maximal subgroups of large rank in exceptional groups of Lie ...

PDF | Let G = G(q) be a finite almost simple exceptional group of Lie type over the field of q elements, where q = pa and p is prime. The main result of.

Maximal Subgroups of Finite Exceptional Groups - SpringerLink

References · Liebeck, M. · Liebeck, M. · Liebeck, M., Saxl, J., and Testerman, D., Simple subgroups of large rank in groups of Lie type, Proc. · Maagard, K., On the ...

Maximal subgroups of exceptional groups and Quillen's dimension

Abstract:Given a finite group G and a prime p, let \mathcal{A}_p(G) be the poset of nontrivial elementary abelian p-subgroups of G. The ...

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 positive dimension in exceptional ...

Key words and phrases: algebraic groups, exceptional groups, maximal subgroups, finite ... maximal connected subgroups of maximal rank. In the tables, the ...

MAXIMAL SUBGROUPS OF LARGE RANK IN EXCEPTIONAL ...

(M), a simple group. Denote by Lie(p) the set of finite quasisimple groups of Lie type in characteristic p. In the case where M0 ∈ Lie ...

[PDF] The Local Maximal Subgroups of Exceptional Groups of Lie ...

... finite exceptional groups of Lie type, which we call subgroups of maximal rank. These subgroups play… Expand. 219 Citations · PDF. Add to Library. Alert ...

MAXIMAL CONNECTED k-SUBGROUPS OF MAXIMAL RANK IN ...

The classification of finite dimensional simple complex Lie algebras into four infinite classical families An, Bn, Cn, Dn and five exceptional ...

Maximal subgroups of exceptional type algebraic groups (Chapter 19)

For PDF version, please use the. Type: Chapter. Information. Linear Algebraic Groups and Finite Groups of Lie ...

The maximal subgroups of positive dimension in exceptional ...

Key words and phrases: algebraic groups, exceptional groups, maximal subgroups, finite groups of Lie type. The first author acknowledges the hospitality of ...