Stephan Gagola
Arizona University, USA
Cyclic extensions of abelian groups.
Abstract: Here we will take a look at Latin Square Designs admitting all possible central automorphisms and see how these are equivalent to an appropriate category of groups with triality. With this, we can then answer the following open question originally proposed by Orin Chein and Andrew Rajah. If a Moufang loop G contains a normal abelian subgroup N of odd order such that G/N is cyclic, must G be a group?