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Zassenhaus lemma

technical lemma in group theory
Thing lemma Q3229348

Facts

5 properties
Instance of
lemma
Defining formula
B\mathrel\vartriangleleft A\le G\ge C\mathrel\vartriangleright D\implies\frac{(A\cap C)B}{(A\cap D)B}\cong\frac {(A\cap C)D}{(B\cap C)D}[3]
Maintained by WikiProject
WikiProject Mathematics[5]
Named after
Hans Zassenhaus[2]
Studied by
group theory[4]
🏷️ Also known as
en Zassenhaus lemma de Schmetterlingslemma de Lemma von Zassenhaus es Lema de la mariposa es Lema de Zassenhaus fr Lemme du papillon fr lemme de Zassenhaus it Lemma della farfalla ja ツァッセンハウスの補題 ja 蝶の補題 pl Lemat Zassenhausa tr Kelebek önsavı zh 蝴蝶引理
🔖 Identifiers · 3
Image (Wikimedia Commons)
Butterfly lemma.svg ↗
Freebase ID
/m/03kyr4
Microsoft Academic ID (discontinued)
2780791844

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Created notable works 1
Hans Zassenhaus
Instance of 1
lemma
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
Hans Zassenhaus
Studied by 1
group theory
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Summary

Zassenhaus lemma is a lemma[1].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). Zassenhaus lemma. Retrieved November 8, 2026, from https://4ort.xyz/entity/zassenhaus-lemma
MLA “Zassenhaus lemma.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Nov. 2026, https://4ort.xyz/entity/zassenhaus-lemma.
BibTeX @misc{4ortxyz_zassenhaus-lemma_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Zassenhaus lemma}}, year = {2026}, url = {https://4ort.xyz/entity/zassenhaus-lemma}, note = {Accessed: 2026-11-08}}
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