The Cohomology of the Sylow 2-Subgroup of the Higman-Sims Group

A. Adem
Mathematics Department
University of Wisconsin
Madison WI 53706 

J. F. Carlson
Mathematics Department 
University of Georgia
Athens GA 30602

D. B. Karagueuzian
Mathematics Department
University of Wisconsin
Madison WI 53706 

R. James Milgram
Mathematics Department 
Stanford University
Stanford CA 94305

Abstract

In this paper we compute the mod 2 cohomology of the Sylow
2-subgroup of the Higman--Sims group HS, one of the 26 sporadic
simple groups. We obtain its Poincare series as well as an
explicit description of it
as a ring with 17 generators and 79 relations.