- Title
- Totally disconnected locally compact groups with just infinite locally normal subgroups
- Creator
- Reid, Colin D.
- Relation
- ARC.FL170100032 http://purl.org/au-research/grants/arc/FL170100032
- Relation
- Israel Journal of Mathematics Vol. 259, Issue 1, p. 461-502
- Publisher Link
- http://dx.doi.org/10.1007/s11856-023-2490-z
- Publisher
- Magnes Press
- Resource Type
- journal article
- Date
- 2024
- Description
- We obtain some global features of totally disconnected locally compact (t.d.l.c.) groups G that are locally isomorphic to a just infinite profinite group, building on an earlier result of Barnea–Ershov–Weigel and also using tools developed by P.-E. Caprace, G. Willis and the author for studying local structure in t.d.l.c. groups. The approach uses the following property of just infinite profinite groups, essentially due to Wilson: given a locally normal subgroup K of G, then there is an open subgroup of K that is a direct factor of an open subgroup of G. This is a local property of t.d.l.c. groups and we obtain a characterization of the local isomorphism types of t.d.l.c. groups that have it.
- Subject
- totally disconnect locally compact group (t.d.l.c); just infinite group; automorphism; local structure
- Identifier
- http://hdl.handle.net/1959.13/1504088
- Identifier
- uon:55441
- Identifier
- ISSN:0021-2172
- Language
- eng
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