Date: Thu, 1 Feb 1996 11:02:08 +0100 From: Erhard AichingerDear group-forum ! In my research about near-rings of polynomial functions I have come across the following group-theoretic problems; since I did not find any helpful information in the standard books on Group Theory, I thought I might ask you. 1) Is there any characterisation of groups in which the lattice of normal subgroups is a chain ? 2) Does there exist a group G with a unique nontrivial normal subgroup H such that both G/H and H are non-abelian ? Of course, such a group must have at least 3600 elements; does anyone of You know such a group ? Thank you very much for your help, Erhard Aichinger, Linz, Austria