Decomposing locally compact groups into simple pieces

Details Decomposing locally compact groups into simple pieces Decomposing locally compact groups into simple pieces

2008-11-25

arxiv.org/abs/0811.4101v3

Mathematics

Group Theory

Index added; minor changes

Scientific paper

We present a contribution to the structure theory of locally compact groups. The emphasis is on compactly generated locally compact groups which admit no infinite discrete quotient. It is shown that such a group possesses a characteristic cocompact subgroup which is either connected or admits a non-compact non-discrete topologically simple quotient. We also provide a description of characteristically simple groups and of groups all of whose proper quotients are compact. We show that Noetherian locally compact groups without infinite discrete quotient admit a subnormal series with all subquotients compact, compactly generated Abelian, or compactly generated topologically simple. Two appendices introduce results and examples around the concept of quasi-product.

Affiliated with

Also associated with

No associations

Rating

Decomposing locally compact groups into simple pieces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Decomposing locally compact groups into simple pieces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Decomposing locally compact groups into simple pieces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-304620