7 problems. Spring 2008, problems 1–3 A finite group is not the union of conjugates of a proper subgroup Classification of all groups with 99 elements A normal subgroup of a p-group intersects the center nontrivially Spring 2007, problem 1 Classification of groups of order p^3 Fall 2007, problem 1 Sylow subgroups of a group of order 240 and elements of order 15 Fall 2006, problems 2.1–2.2 (labels printed on the review sheet) Non-abelian group of order \(p^3\) from \((\mathbb{Z}/p^2\mathbb{Z})^\times\) Simple groups with subgroups of bounded index Browse these problems in source order