Eamonn O'Brien - Notes on Groups of order dividing p^7

The groups with order dividing p7, p an odd prime

Here we provide access to notes which describe aspects of our construction
of the groups with order dividing p7, where p is an odd prime. 
 
We make no claims regarding the coherence nor completeness of these notes.
They are contemporaneous records of various computations.

The notes  are provided "as is"  and are available as four pdf files.

Notes on groups with order p5
Notes on groups with order p6
Notes on groups with order p7, exponent p
Notes on groups with order p7

You can download pdf versions of the following paper,
which reports on our classification of the groups with order p6:

M.F. Newman, E.A. O'Brien and M.R. Vaughan-Lee,
Groups and nilpotent Lie rings whose order is the sixth power of a prime,
J. Algebra,  278,
383-401, 2004.

or a preprint on our classification of the groups with order p7:

E.A. O'Brien and M.R. Vaughan-Lee,
The groups with order p7 for odd prime p,
accepted J. Algebra, 2005.

The SmallGroups library already contains descriptions of the  groups with order p6

We plan to make our descriptions  for those with order p7 available as part of this library.
You may wish to download a preliminary Magma version.
Read the enclosed README file for instructions on its use.

Eamonn O'Brien and Michael Vaughan-Lee

obrien@math.auckland.ac.nz


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Last updated January 2005

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