The local structure theorem: the wreath product case

Chris Parker; Gernot Stroth

doi:10.1016/j.jalgebra.2019.08.013

The local structure theorem: the wreath product case

Chris Parker
, Gernot Stroth

Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

Groups with a large p-subgroup, p a prime, include almost all of the groups of Lie type in characteristic p and so the study of such groups adds to our understanding of the finite simple groups. In this article we study a special class of such groups which appear as wreath product cases of the Local Structure Theorem.

Original language	English
Number of pages	25
Journal	Journal of Algebra
Early online date	22 Aug 2019
DOIs	https://doi.org/10.1016/j.jalgebra.2019.08.013
Publication status	E-pub ahead of print - 22 Aug 2019

Keywords

Finite simple groups
Group theory

ASJC Scopus subject areas

Algebra and Number Theory

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Parker_and_Stroth_The_local_structure_theorem_the_wreath_product_case_Journal_of_Algebra_2019Accepted author manuscript, 361 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)

https://www.sciencedirect.com/science/article/pii/S0021869319304570Licence: None: All rights reserved

Cite this

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title = "The local structure theorem: the wreath product case",

abstract = "Groups with a large p-subgroup, p a prime, include almost all of the groups of Lie type in characteristic p and so the study of such groups adds to our understanding of the finite simple groups. In this article we study a special class of such groups which appear as wreath product cases of the Local Structure Theorem.",

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T1 - The local structure theorem

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AU - Parker, Chris

AU - Stroth, Gernot

PY - 2019/8/22

Y1 - 2019/8/22

N2 - Groups with a large p-subgroup, p a prime, include almost all of the groups of Lie type in characteristic p and so the study of such groups adds to our understanding of the finite simple groups. In this article we study a special class of such groups which appear as wreath product cases of the Local Structure Theorem.

AB - Groups with a large p-subgroup, p a prime, include almost all of the groups of Lie type in characteristic p and so the study of such groups adds to our understanding of the finite simple groups. In this article we study a special class of such groups which appear as wreath product cases of the Local Structure Theorem.

KW - Finite simple groups

KW - Group theory

UR - https://arxiv.org/abs/1906.07216

U2 - 10.1016/j.jalgebra.2019.08.013

DO - 10.1016/j.jalgebra.2019.08.013

M3 - Article

SN - 0021-8693

JO - Journal of Algebra

JF - Journal of Algebra

ER -

The local structure theorem: the wreath product case

Abstract

Keywords

ASJC Scopus subject areas

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Cite this