Date: Thu, 1 Feb 1996 11:02:08 +0100
From: Erhard Aichinger 

Dear 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