Sylow Theory

Steven Roman

Chapter Chapter 8 in Fundamentals of Group Theory, 2012, pp 235-262 from Springer

Abstract: Abstract In 1872, the Norwegian mathematician Peter Ludwig Mejdell Sylow [32] published a set of theorems which are now known as the Sylow theorems. These important theorems describe the nature of maximalp-subgroups of a finite group, which are now called Sylow p-subgroups. (For convenience, we will collect the Sylow theorems into a single theorem.)

Keywords: Normal Subgroup; Finite Group; Conjugacy Class; Simple Group; Maximal Subgroup (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8301-6_8

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