Timeline for Whence “homomorphism” and “homomorphic”?
Current License: CC BY-SA 4.0
16 events
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| Oct 28 at 11:05 | comment | added | YCor | @Carl-FredrikNybergBrodda in such a use "quoth" seems archaic/literary but correct, doesn't it? | |
| Oct 28 at 7:58 | comment | added | Carl-Fredrik Nyberg Brodda | @FrancoisZiegler This is a tiny remark, but "quoth" and "quote" are etymologically completely unrelated, so using "quoting" is better for a quote. | |
| Oct 28 at 7:14 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
copied image to local repository, now that the post has been reactivated.
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| Oct 28 at 1:27 | comment | added | Francois Ziegler | ... Or indeed de Séguier (1904, p. 66): “supposons entre les groupes A et B une correspondance telle qu‘à chaque élément de A réponde un élément au moins de B et à chaque élément de B un élément au moins de A et que si $a_i$ de A et $b_i$ de B se correspondent, $a_ia_k$ et $b_ib_k$ se correspondent aussi. On dit que A et B sont homomorphes.” | |
| Oct 28 at 1:27 | comment | added | Francois Ziegler | @DavidRoberts Yes. Quoth Mac Lane (1988, p. 332): “At that time, a homomorphism in algebra always meant a surjective homomorphism (a mapping onto)” or (1970, p. 229): “For example, van der Waerden’s Moderne Algebra, following the lead of Emmy Noether, studies homomorphisms $G\to H$ of groups, and of rings, but only such as map $G$ onto $H$”... | |
| Oct 5, 2021 at 23:15 | comment | added | David Roberts♦ | So "isomorphism" meant "injective homomorphism"? | |
| Sep 4, 2017 at 13:36 | history | edited | Francois Ziegler | CC BY-SA 3.0 |
Link to Fricke-Klein (1890); cosmetic changes to translation.
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| Sep 3, 2017 at 21:18 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| Sep 3, 2017 at 21:09 | comment | added | Francois Ziegler | Moreover Frobenius points to Math. Ann. 41 (1892) where papers of (Klein’s student) Ritter and Fricke already make the switch, attributing it to Klein in his lectures: pp. 22, 466. | |
| Sep 3, 2017 at 20:35 | vote | accept | Francois Ziegler | ||
| Sep 3, 2017 at 20:30 | comment | added | Francois Ziegler | Thank you. I now see that Frobenius (1902, p. 456) and de Séguier (1902, p. 257) also credit Felix Klein — despite Bourbaki (1981, p. VIII.462) attributing the word to Frobenius. | |
| Sep 3, 2017 at 19:42 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| Sep 3, 2017 at 19:35 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| Sep 3, 2017 at 19:28 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| Sep 3, 2017 at 19:22 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| Sep 3, 2017 at 19:15 | history | answered | Carlo Beenakker | CC BY-SA 3.0 |