Michael A. Jackson

Associate Professor of Mathematics

 
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Publications: (click on text for file in pdf format)

The strong symmetric genus and generalized symmetric groups of type G(n,3), Journal of Group Theory, 13 (2010) 131138.

The strong symmetric genus of the finite Coxeter groups, Journal of Group Theory, 10 (2007) 841-848.

Qd(p)-free  rank two groups act freely on the homotopy product of two spheres, Journal of Pure and Applied Algebra, 208 (2007) 821-831.

The strong symmetric genus of the hyperoctahedral groups, Journal of Group Theory, 7 (2004) 495-505.

A quotient of the set [BG, BU(n)] for a finite group G of small rank, Journal of Pure and Applied Algebra, 188 (2004) 161-174.

Vector bundles over BG whose Euler classes are effective, Doctoral Thesis, Purdue University, 2001.

            

Preprints or papers in preparation: (click on text for file in pdf format)

Elementary saturated fusion subsystems and ingrained subgroups (in preparation, last updated 6/8/09) [still rough]     (was titled: Elementary saturated fusion subsystems and minimal normal saturated fusion subsystems )

Rank three p-groups and free actions on the homotopy product of three spheres, (in preparation, last updated 9/4/08). 

A classification of 2-local finite groups of rank two with trivial center.
                     (This is not a new result but may be of interest. Last updated 2/23/06)      
 

Overheads from talks: (click on text for file in pdf format)

Which (2,3,r) triangle groups give rise to the strong symmetric genus of some finite group?
      
October 25, 2009 at the Special Session on Automorphisms of Riemann Surfaces and Related Topics.
       AMS Eastern Sectional Meeting, University Park, Pennsylvania

Generalized symmetric groups with the best strong symmetric genus
      
October 18, 2008 at the Special Session on Computational Group Theory
       AMS Central Sectional Meeting, Kalamazoo, Michigan

The strong symmetric genus and generalized symmetric groups:results and a conjecture
      
December 15, 2007 at the Special Session on Group Theory, Actions, and Computation
       AMS-NZMS Joint Meeting, Wellington, New Zealand

The strong symmetric genus and generalized symmetric groups of type G(n, 3)
       April 22, 2007 at the
Special Session on Automorphisms of Curves,
       AMS Western Sectional Meeting, Tuscon, Arizona


The strong symmetric genus of the finite Coxeter groups
     
January 7, 2007 at the Joint Mathematics Meetings in New Orleans
                     
Most rank two finite groups act freely on a homotopy product of two spheres,
       June 22, 2005  at Conference on Pure and Applied Topology, Isle of Skye, Scotland
                           

Other research documents: (click on text for file in pdf format)

Extended abstract for Oberwolfach Reports: Homotopy rank and small rank groups,
       from Group Cohomology: Interactions and Applications workshop,
      in Oberwolfach, Germany, September 2005
                         
 

 

 

Last Updated: 03/15/2010

2006, Grove City College Department of Mathematics

Site Maintained by Michael A. Jackson