Lagrange's Theorem (Group Theory)/Historical Note
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Historical Note on Lagrange's Theorem in Group Theory
Lagrange's theorem was actually proved by Camille Jordan.
Lagrange's proof merely showed that a subgroup of the symmetric group $S_n$ has an order which is a divisor of $n!$.
Sources
- 1996: John F. Humphreys: A Course in Group Theory ... (previous) ... (next): Chapter $5$: Cosets and Lagrange's Theorem: Summary for Chapter $5$
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- 1972: A.G. Howson: A Handbook of Terms used in Algebra and Analysis ... (previous) ... (next): $\S 5$: Groups $\text{I}$: Subgroups
- 2014: Mahim Ranjan Adhikari and Avishek Adhikari: Basic Modern Algebra with Applications: $\S2$: Some Basic Facts, Proof and Converse of Lagrange's Theorem.