Mathematics Seminar - 28 September 2012
Lowell Thomas Room 006, 3:30 PM
On a Class of Finite Inseparable p-groups
A finite group is inseparable if it does not split over any proper nontrivial normal subgroup; that is, if it has no nontrivial semidirect product decompositions. This paper investigates a class of finite inseparable p-groups and, for p ≥ 3, establishes a necessary and sufficient condition for inseparability.