The Schur-Zassenhaus Theorem is a fundamental result in group theory that provides conditions under which a group extension can be decomposed into a semidirect product. Specifically, it states that if you have a normal subgroup of a finite group and a complement to that subgroup, the group can be expressed as a semidirect product of the two. This theorem is crucial for understanding how groups can be structured and manipulated, especially in the context of extensions and representations.
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