3 papers
math.GR2009
Construction of Co_1 from an irreducible subgroup M_{24} of GL_{11}(2)
Hyun Kyu Kim, Gerhard O. Michler
In this article we give an self contained existence proof for J. Conway's sporadic simple group Co_1 [4] using the second author's algorithm [14] constructing finite simple groups…
math.GR2009
Construction of Fischer's sporadic group Fi'_{24} inside GL_{8671}(13)
Hyun Kyu Kim, Gerhard O. Michler
In this article we construct an irreducible simple subgroup G = <q, y, t, w> of GL_{8671}(13) from an irreducible subgroup T of GL_{11}(2) isomorphic to Mathieu's simple group M_{2…
math.GR2009
Simultaneous Constructions of the Sporadic Groups Co_2 and Fi_{22}
Hyun Kyu Kim, Gerhard O. Michler
In this article we give self-contained existence proofs for the sporadic simple groups Co_2 and Fi_{22} using the second author's algorithm [10] constructing finite simple groups f…