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Thesis

Group enumeration

Abstract:

The thesis centres around two problems in the enumeration of p-groups. Define fφ(pm) to be the number of (isomorphism classes of) groups of order pm in an isoclinism class φ. We give bounds for this function as φ is fixed and m varies and as m is fixed and φ varies. In the course of obtaining these bounds, we prove the following result. We say a group is reduced if it has no non-trivial abelian...

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Institution:
University of Oxford
Department:
Faculty of Mathematical Sciences
Role:
Author

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Role:
Supervisor
Role:
Supervisor
Publication date:
1992
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Subjects:
UUID:
uuid:caac5ed0-44e3-4bec-a97e-59e11ea268af
Local pid:
td:602817934
Source identifiers:
602817934
Deposit date:
2014-04-01

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