My
research is
mainly in finite group theory and related areas such as computational
representation theory. A specialty is constructing basic
algebras
Morita equivalent to group algebras of sporadic groups over finite
fields. I have written programs using the software packages GAP
and the C-MeatAxe
for
constructing basic algebras. These programs are available as a GAP
package [gzipped
tar file or zoo].
README
will
tell you how to install my GAP package assuming you already have GAP
running.
|
I
have
constructed the Ext-quiver of S3 in
characteristic 2. This example
outlines the
process using the C-MeatAxe. The example assumes that you have
downloaded and installed the C-MeatAxe. Familiarity with the C-MeatAxe
would be helpful but is not required.
|
| I
have applied
the above method to many groups to construct their basic algebras. This
information has been collected on my Basic
Algebras page. A new version of my basic algebra repository is being constructed. |
My
dissertation, "Constructing Basic
Algebras for
the Principal Block of Sporadic Simple Groups", is available
in pdf format.
|
| My
Curriculum
Vita is available in PDF format as well. |
