Groups which produce generalized quadrangles

  title={Groups which produce generalized quadrangles},
  author={Daniel Frohardt},
  journal={J. Comb. Theory, Ser. A},
A large portion of the known generalized quadrangles can be obtained using a construction of Kantor [2] which starts with a group satisfying certain conditions. Others have discovered new families of generalized quadrangles by studying these conditions (see [3] and [4]), but our concern here is the restrictions they impose on the structure of the group. The known examples are of a highly restricted nature-in particular they are all p-groupsand our results are a partial step toward showing that… CONTINUE READING