Ulla Karhumaki - Simple infinite sections of locally finite groups of finite centraliser dimension
| Dates: | 1 November 2019 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | Current University students |
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This week's pure postgrad seminar will be given by Ulla Karhumaki at 3pm in Frank Adams 1.
Abstract:
A group G is said to have a finite centraliser dimension (fcd) if there is a finite bound on the length of any chain of centralisers in G. Many important groups (in model theory, algebraic group theory,...) have this property. One immediate difficulty encountered in any study of groups of fcd is that the descending chain condition for centralisers is not inherited by factor groups or sections. In the case of locally finite groups, we will present a sufficiently strong property, which holds in a locally finite group of fcd and is inherited by its sections. Further, we will classify simple infinite sections of locally finite groups of fcd. Very(!) little knowledge of group theory is assumed; this will be kept light.
Travel and Contact Information
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Frank Adams 1
Alan Turing Building
Manchester
