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math.GR2009
Subgroup Chains and Lagrange Coordinatizations of Finite Permutation Groups
Attila Egri-Nagy, Chrystopher L. Nehaniv
We give a general constructive proof for hierarchical coordinatizations (Lagrange Decompositions) of permutation groups. The generalization originates from the investigation of how…
cs.AI2009
Computational Understanding and Manipulation of Symmetries
Attila Egri-Nagy, Chrystopher L. Nehaniv
For natural and artificial systems with some symmetry structure, computational understanding and manipulation can be achieved without learning by exploiting the algebraic structure…