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Tag Archives: Sylow theorems

A Generalization of Wilson’s Theorem (due to Gauss)

February 5, 2017by Alexander Walker Leave a comment

John Wilson (1741-1793) was a well-known English mathematician in his time, whose legacy lives on in his eponymous result, Wilson’s Theorem.

In this post, we’ll generalize Wison’s Theorem to non-prime modulus (and a few other generalizations) and give credit to Gauss for beating us to it by two hundred years.

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group theory, number theory

The Orders of Simple Groups

February 5, 2017by Alexander Walker 1 Comment

The Classification of Finite Simple Groups proves in particular that the collection of orders of finite simple groups has asymptotic density 0. What can we prove if we’re not willing to work that hard?

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group theory, number theory, probability

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You have stumbled upon the personal blog of Alex Walker. I am a number theorist, with current affiliations to Rutgers.

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