Totally disconnected locally compact groups with just infinite locally normal subgroups

We obtain some global features of totally disconnected locally compact (t.d.l.c.) groups G that are isomorphic to a just infinite profinite group, building on an earlier result Barnea–Ershov–Weigel and also using tools developed by P.-E. Caprace, G. Willis the author for studying local structure in t.d.l.c. groups. The approach uses following property groups, essentially due Wilson: given normal subgroup K G, then there is open direct factor This we characterization isomorphism types have it.