This document gives links to some theorems of group theory which occur in Robin Whitty's Theorem of the Day website. You may have seen some of these on the display screens in the Mathematics building. You should know the first three of these: write down a statement and check by looking at the web page.

• Lagrange's Theorem
• Cayley's Theorem
• The Orbit-Counting Lemma
• Sims' Conjecture
• The McIver–Neumann half-n bound
• Praeger's Theorem on bounded movement
• Neumann's Separation Lemma
• The IBIS group theorem

Peter J. Cameron
30 June 2010