Definition:Quotient Group/Historical Note
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Historical Note on Quotient Group
The idea of a quotient group appeared in the work of Marie Ennemond Camille Jordan in the $1860$s.
However, the modern formulation using cosets did not appear till the work of Otto Ludwig Hölder in $1889$, fairly late on in the history of group theory.
Sources
- 1996: John F. Humphreys: A Course in Group Theory ... (previous) ... (next): Chapter $7$: Normal subgroups and quotient groups: Summary