Time and place: 15:00 Friday 13 November in MLR1.
Speaker: David Raithel (University of Western Australia)
Title: Innately transitive groups
Abstract: An innately transitive permutation group is a permutation group with a transitive minimal normal subgroup. Innately transitive groups as a family contain all quasiprimitive (and hence primitive) groups, as well as some interesting groups in their own right (such as the symmetries of the icosahedron). In his PhD, Bamberg under the supervision of Praeger, was able to generalise the ONan-Scott Theorem to innately transitive groups. The first half of this talk will discuss Bambergs result, as well as the theory of innately transitive groups which developed from it. The rest of the talk will be discussing rank 3 innately transitive groups, and some of the work I have done under the supervision of Bamberg, Devillers and Praeger, including how to construct purely innately transitive rank 3 groups.
Speaker: David Raithel (University of Western Australia)
Title: Innately transitive groups
Abstract: An innately transitive permutation group is a permutation group with a transitive minimal normal subgroup. Innately transitive groups as a family contain all quasiprimitive (and hence primitive) groups, as well as some interesting groups in their own right (such as the symmetries of the icosahedron). In his PhD, Bamberg under the supervision of Praeger, was able to generalise the ONan-Scott Theorem to innately transitive groups. The first half of this talk will discuss Bambergs result, as well as the theory of innately transitive groups which developed from it. The rest of the talk will be discussing rank 3 innately transitive groups, and some of the work I have done under the supervision of Bamberg, Devillers and Praeger, including how to construct purely innately transitive rank 3 groups.