The factorizations of the finite exceptional groups of lie type

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The Factorizations of the Finite Exceptional Groups of Lie Type

Conversely, factorizations qf G do arise in each qf the cases (i)-(iv). THEOREM 2. Let G be an exceptional ,finite simple group of Lie type and let X be a ...

The factorizations of the finite exceptional groups of lie type ...

Semantic Scholar extracted view of "The factorizations of the finite exceptional groups of lie type" by C. Hering et al.

The factorizations of the finite exceptional groups of lie type | CoLab

A finite group is said to be factorizable if G = AB for some proper subgroups A and B of G; such an expression is called a factorization of G.

The maximal Tori of finite exceptional groups of Lie type

Let G(q) be a twisted or untwisted finite exceptional group of Lie type over G F ⁡ ( 𝑞 ) , either adjoint or simply connected, and let W be the Weyl group of G( ...

arXiv:2106.03109v2 [math.GR] 11 Oct 2021

Saxl, The factorizations of the finite exceptional groups of Lie type,. J. Algebra, 106 (1987), no. 2, 517–527. [11] W. M. Kantor, Antiflag ...

arXiv:2106.04278v2 [math.GR] 31 Jul 2021

Saxl, The factorizations of the finite exceptional groups of Lie type,. J. Algebra, 106 (1987), no. 2, 517–527. [11] W. M. Kantor, Antiflag ...

Subgroups and representations of finite groups of Lie type

Is there a usable bound for the minimal index of a proper subgroup in a finite simple group of Lie type in terms of its rank and the ...

The group factorization problem in finite groups of Lie type

In this paper, we firstly built the relationship between matrix exponential and discrete logarithmic problem (DLP) in finite groups of Lie type.

The Maximal Factorizations of the Finite Simple Groups and Their ...

Successfully Copied! The Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups ... Factorizations of exceptional groups of Lie type. 9.

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

Let L be a finite exceptional simple group of Lie type over Fq, where q =pa and p is prime. As described in [27], there is a simple ad joint algebraic group G.

Finite exceptional groups of Lie type and symmetric designs

Our analysis depends heavily on detailed information about actions of finite exceptional almost simple groups of Lie type on the cosets of their large maximal ...

Finite exceptional groups of Lie type and symmetric designs

Article on Finite exceptional groups of Lie type and symmetric designs, published in Discrete Mathematics 345 on 2022-03-31 by Seyed Hassan ...

The Maximal Factorizations of the Finite Simple Groups and Their

Classical groups of small dimension. 90. Factorizations of alternating groups. 123. Factorizations of exceptional groups of Lie type. 126. On maximal subgroups ...

The Maximal Factorizations of the Finite Simple Groups and Their ...

The Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups ... Factorizations of exceptional groups of Lie type. 9. On maximal subgroups ...

Irredundant bases for finite groups of Lie type

Suppose finally that G(q) is an exceptional group of Lie type. The proof runs along similar lines. First we use [17, Theorem 8], which gives the possibilities ...

The maximal factorizations of the finite simple groups and their ...

The maximal factorizations of the finite simple groups and their automorphism groups - ... exceptional groups of Lie type""; ""Chapter 9: On maximal subgroups of ...

Classification of some 3-subgroups of the finite groups of Lie type E6

We consider the finite exceptional group of Lie type G = E 6 ε ( q ) (universal version) with 3 | q − ε , where E 6 + 1 ( q ) = E 6 ( q ) and E 6 − 1 ( q ) ...

On solvable factors of almost simple groups - SEIS

By. [10], there are no such factorizations if G0 is an exceptional group of Lie type, and it is ... Saxl, The factorizations of the finite exceptional groups of ...

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 subgroups ...