Jon F. Carlson 

                Mail:      Jon F. Carlson,
                           Department of Mathematics,
                           University of Georgia,
                           Athens, GA 30602.  

               Phone:      (706)-542-2592  
                 Fax:      (706)-542-2573  
     Electronic mail:   jfc@ this domain (math.uga...)

I am emeritus professor of Mathematics at

I have written some computer programs to compute the cohomology ring of finite 2-groups, as well as (with Graham Matthews) the basic algebras of matrix algebras. The matrix algebras packages have been used to compute the basic algebras of Hecke algebras and Schur Algebras. Some of these computations are posted here. In particular, we offer the following.

Mod-2 Cohomology Rings of 2-Groups
click here.

These calculations were made with the assistence of Luis Valero-Elizondo and Mucheng Zhang. They give the cohomology ring of all group 2-groups of order up to 64, including information on maximal ideals, inflations from maximal quotient groups, restrictions to elementary abelian and maximal subgroups. Unfortunatly, the original source of these files were lost during a change in computer systems at the University of Georgia. The pages offered here rely on the archive of the WAYBACK machine. One result is that some information may be missing. Some effort is being made to reconstruct the original version. Progress will be reported. A complete printed version of the computations is in the appendix to the book
J. F. Carlson, L. Townsley, L. Valero-Elizondo and M. Zhang, Cohomology rings of finite groups. With an appendix: Calculations of cohomology rings of groups of order dividing 64, Algebras and Applications, 3. Kluwer Academic Publishers, Dordrecht, 2003.


Basic algebras of Schur Algebras
Click here

The files present computations of information on the basic algbras of Schur algebras over finite fields. It includes such things as the structure of the projective indecompoables, Cartan matrix and blocks. >br>


Basic algebras of Hecke Algebras of Symmetric Groups
Click here

The files give basic information of the endomorphism rings of Young modules for the group algebras over finite fields of some symmetric groups



Basic algebras of Hecke Algebras of Finite Simple Groups
Click here

The files give basic information of the endomorphism rings of permutation modulew with point stabilizers being Sylow normalizers for the group algebras over finite fields of some finite simple groups



My research interests are in Algebra/Group Theory. You may also view my current vita and publication list in dvi or pdf formats.