Subgroup Structure and Representations of Finite and Algebraic Groups

Pham Huu Tiep

doi:10.1007/s10013-015-0127-1

Subgroup Structure and Representations of Finite and Algebraic Groups

Pham Huu Tiep

Mathematics

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

1 Scopus citations

Abstract

What can one say about maximal subgroups, or, more generally, the subgroup structure of simple, finite, or algebraic groups? In this survey, we will discuss how group representation theory helps us study this classical problem. These results have been applied to various problems, particularly in group theory, number theory, and algebraic geometry.

Original language	English (US)
Pages (from-to)	501-513
Number of pages	13
Journal	Vietnam Journal of Mathematics
Volume	43
Issue number	3
DOIs	https://doi.org/10.1007/s10013-015-0127-1
State	Published - Sep 1 2015

Keywords

Classical groups
Maximal subgroups
Representation theory
Subgroup structure

ASJC Scopus subject areas

General Mathematics

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10.1007/s10013-015-0127-1

Cite this

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abstract = "What can one say about maximal subgroups, or, more generally, the subgroup structure of simple, finite, or algebraic groups? In this survey, we will discuss how group representation theory helps us study this classical problem. These results have been applied to various problems, particularly in group theory, number theory, and algebraic geometry.",

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N2 - What can one say about maximal subgroups, or, more generally, the subgroup structure of simple, finite, or algebraic groups? In this survey, we will discuss how group representation theory helps us study this classical problem. These results have been applied to various problems, particularly in group theory, number theory, and algebraic geometry.

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KW - Maximal subgroups

KW - Representation theory

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Subgroup Structure and Representations of Finite and Algebraic Groups

Abstract

Keywords

ASJC Scopus subject areas

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