A History of Lagrange's Theorem on Groups

  In group theory, the result known as Lagrange's Theorem states that for a finite group G the order of any subgroup divides the order of G. Roth explains the historical setting of Lagrange's approach, and follows this train of thought into the twentieth century.

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Bibliographic Details
Published inMathematics magazine Vol. 74; no. 2; pp. 99 - 108
Main Author Roth, Richard L.
Format Magazine Article
LanguageEnglish
Published Washington Mathematical Association of America 01.04.2001
Taylor & Francis Ltd
Subjects
Abstract algebra
Algebra
Degrees of polynomials
Fermats theorem
Geometry
Group theory
History
Mathematical functions
Mathematical permutation
Mathematical theorems
Polynomials
Theory
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Summary:  In group theory, the result known as Lagrange's Theorem states that for a finite group G the order of any subgroup divides the order of G. Roth explains the historical setting of Lagrange's approach, and follows this train of thought into the twentieth century.
Bibliography:ObjectType-Article-2
ObjectType-Feature-1
content type line 24
SourceType-Magazines-1
ISSN:0025-570X
1930-0980
DOI:10.1080/0025570X.2001.11953045