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Sylow Theory

In: Fundamentals of Group Theory

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  • Steven Roman

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.)

Suggested Citation

  • Steven Roman, 2012. "Sylow Theory," Springer Books, in: Fundamentals of Group Theory, edition 1, chapter 0, pages 235-262, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-8301-6_8
    DOI: 10.1007/978-0-8176-8301-6_8
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