What is the history of the semidirect product?

math-history group-theory semidirect-product

Solution 1:

This question, who invented the semidirect product (and, the holomorph for that matter) , interested me for a long time, too. Two people might be good candidates: G.A. Miller and O. Hoelder. Miller wrote papers on the holomorphs of cyclic groups early in the 1900's and he was a contemporary of Hoelder (a pioneer in considering automorphisms).

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