Semidirect Products of Groups

Nelson, Alexander M.

doi:10.2478/forma-2025-0006

Abstract

We formalize the semidirect product of groups in Mizar, following §10 of Aschbacher’s Finite Group Theory [2]. We also prove the universal property for semidirect products as found in Bourbaki [5, III §2.10] Proposition 27. In an appendix, we define the dihedral group of the regular n-gon and the infinite dihedral group.

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Semidirect Products of Groups

Abstract

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