Collineations, Conjugacies, and Cubics
نویسندگان
چکیده
If F is an involution and φ a suitable collineation, then φ ◦ F ◦ φ−1 is an involution; this form includes well-known conjugacies and new conjugacies, including aleph, beth, complementary, and anticomplementary. If Z(U) is the self-isogonal cubic with pivot U , then φ carries Z(U) to a pivotal cubic. Particular attention is given to the Darboux and Lucas cubics, D and L, and conjugacy-preserving mappings between D and L are formulated.
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