Stabilizers of direct composition series. (Q987187)

The authors study decomposition series \(L\) of direct summands of left \(R\)-modules \(V\) over certain domains \(R\). The main theorem shows that such chains with inclusion as ordering are uniquely determined up to isomorphism or anti-isomorphism by the stabilizer group \(U\) of \(L\) provided \(U\) contains the McLain-group associated with \(L\). This work continues investigations by Paul Conrad and also contains very interesting partial results.