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 ...

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.

Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type

Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type ; Martin W. Liebeck · Martin W. Liebeck. Department of Mathematics, Imperial College ; Jan Saxl

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 ...

A survey of maximal subgroups of exceptional groups of Lie type

Seitz, “Subgroups of maximal rank in finite exceptional groups of Lie type”, Proc. London Math. Soc. 65 (1992), 297-325. [7] M.W. Liebeck and G.M. Seitz ...

Maximal subgroups of maximal rank in the classical algebraic groups

This result complements [S, 2022], which does the same for the exceptional groups. We determine which of these subgroups may be realised over a ...

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 ...

Maximal subgroups of exceptional groups of Lie type, finite and ...

The maximal closed subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields are determined.

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

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 ...

Maximal subgroups of exceptional groups of Lie type

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.

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 ...

Elementary abelian $p$-subgroups of maximal rank in finite groups ...

For n=2m, the largest rank of an elementary abelian p-subgroup of G=SLn(Fq) is dm2, and all such subgroups are conjugate to the upper right m×m ...

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 ...

Maximal subgroups of exceptional type algebraic groups (Chapter 19)

GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS · Irreducible Subgroups of Simple Algebraic Groups – A Survey · MAXIMAL SUBGROUPS OF LARGE RANK IN ...

(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 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 ...

Untitled

Maximal subgroups of exceptional groups and Quillen's dimension

2021], will be a useful tool to compute p-ranks of extensions. Lemma 2.4 (p-rank of extensions). Let G = N.K be an extension of finite groups, and let p be a ...

Subgroups of maximal rank (Chapter 13) - Linear Algebraic Groups ...

HTML view is not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button. Summary.

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 ...