A partial-group framework encodes symmetries of individual components of disconnected figures, with semidirect product decompositions for two-component and lattice-translate figures.
Chermak, Finite localities I, Forum Math
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Partial Group Symmetry in Figures I: Semidirect Products and the Six Coins
A partial-group framework encodes symmetries of individual components of disconnected figures, with semidirect product decompositions for two-component and lattice-translate figures.