The Uniqueness of Groups of Lyons Type Academic Article uri icon

abstract

  • We give the first computer free proof of the uniqueness of groups of type Ly. We also show that certain simpicial complexes associated to the Lyons group Ly have the same homotopy type as the Quillen complex for Ly at the prime 3; we show this complex is simply connected, and we calculate its homology. Finally we supply simplified proofs of some properties of groups of type Ly, such as the group order. A group of type Ly is a finite group G possessing an involution t such that H = CG(t) is the covering group of the alternating group A1l and t is not weakly closed in H with respect to G. We prove

publication date

  • January 1, 1992