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Thesis

The width of verbal subgroups in profinite groups

Abstract:

The main result of this thesis is an original proof that every word has finite width in a compact p-adic analytic group. The proof we give here is an alternative to Andrei Jaikin-Zapirain's recent proof of the same result, and utilises entirely group-theoretical ideas. We accomplish this by reducing the problem to a proof that every word has finite width in a profinite group which is virtually a polycyclic pro-p group. To obtain this latter result we first establish that such a group can be...

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Institution:
University of Oxford
Oxford college:
Oriel College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute

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Role:
Supervisor
Publication date:
2009
Type of award:
DPhil
Level of award:
Doctoral
URN:
uuid:01075c36-c7e6-4def-9647-86b4346e4726
Local pid:
ora:4055

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