GENERATING GROUPS USING HYPERGRAPHS
GENERATING GROUPS USING HYPERGRAPHS
To a set |$\mathcal {B} $| of 4-subsets of a set |$\Omega $| of size |$n,$| we introduce an invariant called the āhole stabilizerā which generalizes a construction of Conway, Elkies and Martin of the Mathieu group |$M_{12}$| based on Lloyd's ā15-puzzleā. It is shown that hole stabilizers may be ā¦