Maximal subgroups of small index of finite almost simple groups

Most simple groups S possess a conjugacy class of ordinary maximal subgroups of the smallest possible index {{\,\mathrm{l}\,}}(S) and, by Lemma ...

Abstract page for arXiv paper 2203.16976: Maximal subgroups of small index of finite almost simple groups.

Maximal subgroups of small index of finite almost simple groups

We prove in this paper that a finite almost simple group $R$ with socle the non-abelian simple group $S$ possesses a conjugacy class of core-free maximal ...

Maximal subgroups of small index of finite almost simple groups

We prove in this paper that every almost simple group R with socle isomorphic to a simple group S possesses a conjugacy class of core-free ...

[PDF] Maximal subgroups of small index of finite almost simple groups

We prove in this paper that every almost simple group R with socle isomorphic to a simple group S possesses a conjugacy class of core-free maximal subgroups ...

Maximal subgroups of small index of finite almost simple groups

We prove in this paper that every almost simple group R with socle isomorphic to a simple group S possesses a conjugacy class of core-free maximal subgroups ...

maximal subgroups of finite simple groups - MathOverflow

The maximal subgroups of An are given by the O'Nan-Scott Theorem. They lie in one of the following classes: 1) An∩(Sn−k×Sk), ...

Maximal subgroups of small index of finite almost simple groups

Maximal subgroups of small index of finite almost simple groups ... We also prove that the number of subgroups of the outer automorphism group of ...

1 Maximal subgroups of finite simple groups: classifications and ...

The group T is the socle of G, denoted Soc(G). If G is almost simple with socle T, and M is a maximal subgroup of G, then M ∩T EM, and so ...

Algorithm that list all Maximal subgroups (up to conjugacy) of a finite ...

3 · @spin, by polynomial time in the input size I mean, If the group of order n is given by multiplication table , then the algorithm should run ...

from simple groups to maximal subgroups

There is an absolute constant c such that any maximal subgroup of a finite almost simple group has at most nc maximal subgroups of index n. This yields a ...

(PDF) Large maximal subgroups of finite almost simple groups

subgroup of G. ... l(S)2<|S|. ... of primitive groups of type 2 with a core-free maximal subgroup of a given index. ... ence of relevant subgroups of small index in ...

Bounds on the Number of Maximal Subgroups of Finite Groups - MDPI

In this paper, we obtain new bounds for the number of maximal subgroups of a given index in a finite group and we pin-point the universal constants.

Computing maximal subgroups of finite groups - ScienceDirect.com

In particular, a group G is called almost simple if its socle is a nonAbelian simple group S, and in this case G is isomorphic to a subgroup of the automorphism ...

Maximal subgroups of almost simple classical groups which are ...

Let G be a finite almost simple group with socle S classical and M be a maximal subgroup of G not containing S. I'm interested in the pairs (G,M) such that M ...

Maximal subgroups of finite groups - Semantic Scholar

Results in the literature show that if the maximal subgroup has a very small index ... The proof involves a reduction to almost simple groups, and our main ...

The Maximal Subgroups of the Low-Dimensional Finite Classical ...

Cambridge Core - Algebra - The Maximal Subgroups of the Low-Dimensional Finite Classical Groups.

arXiv:2309.03881v1 [math.GR] 7 Sep 2023

finite simple groups PSL(2,q) but also all other finite simple groups. ... G and by m(G) the minimum index of a maximal subgroup of G. meo ...

maximal subgroups in finite and profinite groups

Now, by Theorem 1.1 of [16], an almost simple group has at most nc2 maximal subgroups of index n. This shows that the abstract group H has at most nc2 primitive ...

Classification of Finite Groups by a Maximal Subgroup

Then G N PSL(2, q), q odd, A, or A,, . Proof of the WUGT, assuming the unbalanced group theorem. UGT. According to the UGT a finite simple group G with an ...