Thesis
The width of verbal subgroups in profinite groups
- Abstract:
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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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Funding
+ Engineering and Physical Sciences Research Council
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Funding agency for:
Simons, N
Bibliographic Details
- Publication date:
- 2009
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
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uuid:01075c36-c7e6-4def-9647-86b4346e4726
- Local pid:
- ora:4055
- Deposit date:
- 2010-07-30
Terms of use
- Copyright holder:
- Nicholas James Simons
- Copyright date:
- 2009
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