- Subgroups of maximal rank 🔍
- A survey of maximal subgroups of exceptional groups of Lie type🔍
- The maximal subgroups of positive dimension in exceptional ...🔍
- Maximal subgroups of exceptional groups of Lie type🔍
- Large subgroups of simple groups🔍
- On the maximal overgroups of Sylow subgroups of finite groups🔍
- Fixed point ratios in actions of finite exceptional groups of Lie type🔍
- ON CONJUGACY CLASSES OF MAXIMAL SUBGROUPS OF FINITE ...🔍
[PDF] SUBGROUPS OF MAXIMAL RANK IN FINITE EXCEPTIONAL ...
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 ...
The maximal subgroups of positive dimension in exceptional ...
In the statement below, by a subgroup of maximal rank we mean a subgroup containing a maximal torus of G, and Symk denotes the sym- metric group of degree k.
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.
Large subgroups of simple groups - SEIS
Theorem 5. Let G be a finite simple group of exceptional Lie type, and let H be a maximal subgroup of G. Then H is large if and ...
On the maximal overgroups of Sylow subgroups of finite groups
In this paper, we determine the finite groups with a Sylow r-subgroup contained in a unique maximal subgroup.
Fixed point ratios in actions of finite exceptional groups of Lie type
(II) H = NX(Mσ), where M is a σ-stable reductive subgroup of maximal rank in G (i.e., M contains a maximal torus of G); such maximal subgroups H are classified ...
ON CONJUGACY CLASSES OF MAXIMAL SUBGROUPS OF FINITE ...
For exceptional groups it is new, apart from large characteristics and also a few families of rank 1 or 2 for which the maximal subgroups are completely known.
The maximal subgroups of E7(2) - Cambridge University Press
Yogonanda, http://link.springer.com/content/pdf/10.1007%2FBF02834265.pdf. ... Seitz, 'Subgroups of maximal rank in finite exceptional groups of. Lie type', Proc.
Generation of second maximal subgroups and the existence ... - SEIS
We prove that with the possible exception of some families of rank 1 groups of Lie type, the number of generators of every second maximal subgroup of G is ...
Radical subgroups of the finite exceptional groups of Lie type E 6
We classify, up to conjugacy, the maximal p-local subgroups and radical p-subgroups of G = E 6 ε ( q ) for p ⩾ 5 with p ∤ q and q ≡ ε mod p , and for p = 3 with ...
1 Maximal subgroups of finite simple groups: classifications and ...
The classical groups are each parametrised by two integers, a dimension d and a field size q, but the exceptional groups come with a fixed Lie rank, and only ...
finite groups with all maximal subgroups
The remaining terms with the exception of p-rank are clear. The definition of p-rank is given below. The following is a list of definitions which will be ...
For the Suzuki and Ree groups, one just inspects the maximal rank subgroups ... and Scott, L., Maximal subgroups of finite groups, J. Algebra 92. (1985), 44 ...
Some computations for the exceptional groups relevant to the ...
rank 3 and one maximal of rank 4. We may concretely realize these as follows ... On finite subgroups of exceptional algebraic groups. J. Reine Angew ...
Elementary abelian $p$-subgroups of maximal rank in finite groups ...
While G-L-S primarily focus on finding maximal elementary abelian p-subgroups and the resulting p-rank, their results imply a reasonable finite ...
Recognition of finite exceptional groups of Lie type
It has a Curtis-Steinberg-. Tits presentation, which involves only those relations which arise from certain rank. 2 subgroups of G(q): namely, the commutator ...
elementary abelian subgroups: from algebraic groups to finite groups
[16] classified local maximal subgroups of exceptional groups of Lie type. However, not every maximal-proper p-local subgroup is local maximal, and the details ...
Burness, T., Liebeck, M., & Shalev, A. (2018). The depth of a finite
PDF-document. This is the author accepted manuscript (AAM). The final ... Seitz, Subgroups of maximal rank in finite exceptional groups of Lie type, Proc.