Can I read Frobenius' Result on Simple Groups of Order (P^3-p)/2 on EtoBox?

Frobenius' Result on Simple Groups of Order (P^3-p)/2 by Monsky, Paul is a scholarly article available to read on EtoBox.

What is Frobenius' Result on Simple Groups of Order (P^3-p)/2 about?

The complete list of pairs of non-isomorphic finite simple groups having the same order is well-known. In particular for p>3, PSL_2(Z/p) is the "only" simple group of order (p^3-p)/2. It's less well-known that Frobenius proved this uniqueness result in 1902. This note presents a version of Frobenius' argument that might be used in an undergraduate honors algebra course. It also includes a short modern proof, aimed at the same audience, of the much earlier result that PSL_2(Z/p) is simple for p>3; a result stated by Galois in 1832.

Author

Monsky, Paul

Published

2011

Language

EN