For this thesis I studied groups that, in one of several senses yet to be defined, split all short exact sequences. However, I will not do this for abelian groups, but for arbitrary groups. Abelian...Show moreFor this thesis I studied groups that, in one of several senses yet to be defined, split all short exact sequences. However, I will not do this for abelian groups, but for arbitrary groups. Abelian groups that, in the same sense, split short exact sequences of abelian groups are already classified [1]. In this thesis I will prove which groups split all short exact sequences for the arbitrary case. If I define a short exact sequence, I will always mean a short exact sequence of groups. Because I don’t restrict the groups to be abelian, a short exact sequence can be split in two ways. The following definition shows this.Show less
