Sylow Theorems

Dinesh Khattar () and Neha Agrawal ()
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Dinesh Khattar: University of Delhi, Department of Mathematics
Neha Agrawal: University of Delhi, Department of Mathematics

Chapter Chapter 11 in Group Theory, 2023, pp 303-325 from Springer

Abstract: Abstract The Sylow theorems are an ensemble of results in the theory of finite groups. The common thread linking this chapter's theorems is that they determine group structure based on group order. They are results that are absolutely central to group theory, and they also serve as a partial converse to Lagrange's Theorem: ‘partial’ because it guarantees the existence of a subgroup only if its order is prime. They are named in honour of P. Ludwig Sylow, who published these theorems in the year 1872.

Date: 2023
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DOI: 10.1007/978-3-031-21307-6_11

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