Normal Subgroup Structure of Totally Disconnected Locally Compact Groups

Title: Normal Subgroup Structure of Totally Disconnected Locally Compact Groups
Creator: Reid, Colin D.
Relation: MATRIX Book Series p. 525-560
Relation: MATRIX Book Series, Vol. 1
Publisher Link: http://dx.doi.org/10.1007/978-3-319-72299-3_23
Publisher: Springer
Resource Type: book chapter
Date: 2018
Description: The present article is a summary of joint work of the author and Phillip Wesolek on the normal subgroup structure of totally disconnected locally compact second-countable (t.d.l.c.s.c.) groups. The general strategy is as follows: We obtain normal series for a t.d.l.c.s.c. group in which each factor is ‘small’ or a non-abelian chief factor; we show that up to a certain equivalence relation (called association), a given non-abelian chief factor can be inserted into any finite normal series; and we obtain restrictions on the structure of chief factors, such that the restrictions are invariant under association. Some limitations of this strategy and ideas for future work are also discussed.
Subject: joint work; normal series; association; chief factors
Identifier: http://hdl.handle.net/1959.13/1465467
Identifier: uon:47270
Identifier: ISBN:9783319722986
Language: eng