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
We make no claims regarding the coherence nor completeness of these
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,
or a preprint on our classification of the groups with
E.A. O'Brien and M.R. Vaughan-Lee,
The groups with order p7 for odd prime p,
accepted J. Algebra,
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
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Last updated January 2005
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