41 citations · 111 across the 22 of their papers we have counts for
5 papers · 1 filter
The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quantization
Hyun Kyu Kim
Quantization of universal Teichmüller space provides projective representations of the Ptolemy-Thompson group, which is isomorphic to the Thompson group . This yields certain ce…
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…
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…
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…
Representation theoretic existence proof for Fischer group Fi_{23}
Hyun Kyu Kim
In the first section of this senior thesis the author provides some new efficient algorithms for calculating with finite permutation groups. They cannot be found in the computer al…