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#zassenhaus_lemma

Zassenhaus lemma

Technical lemma in group theory

In mathematics, the butterfly lemma or Zassenhaus lemma, named after Hans Zassenhaus, is a technical result on the lattice of subgroups of a group or the lattice of submodules of a module, or more generally for any modular lattice.Lemma. Suppose is a group with subgroups and . Suppose and are normal subgroups. Then there is an isomorphism of quotient groups:

Fri 19th

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Zassenhaus lemma Schur–Zassenhaus theorem Zassenhaus Hans Zassenhaus Margulis lemma Isomorphism theorems Schreier refinement theorem Butterfly diagram Berlekamp–Zassenhaus algorithm List of lemmas
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