Timeline for Are gyrogroups useful for anything else other than the Einstein velocity addition rule?
Current License: CC BY-SA 4.0
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| Feb 4, 2023 at 4:08 | comment | added | Michael Kinyon | Bruck discussed the loops later named after him in passing in his book Survey of Binary Systems. Bol loops, as named by Robinson, are a larger class that includes both Bruck loops and Moufang loops. Glauberman later studied Bruck loops of odd order, but called them "B-loops". The name "Bruck loop" itself dates back at least to 1970. | |
| May 11, 2021 at 7:56 | comment | added | arsmath | @LSpice I looked at the Robinson paper, and he gives an example of a Bruck loop (example 2.2), and refers to his Ph.D. thesis for more examples (right after Theorem 2.8). He doesn't name them, though. Maybe someone later named them in honor of Bruck, without a super-tight connection? | |
| May 10, 2021 at 20:11 | comment | added | LSpice | Not based on my knowledge of Bruck loops; I did a MathSciNet search for "Bruck loop" and followed what I thought (missed the 2nd page) was the oldest result, which says to see Robinson - Bol loops. I thought that the paper I linked was the only Bruck reference there, but once again I seem to have missed more. Anyway, it was a long-winded way of doing my part before asking you for the ref. 😁 | |
| May 10, 2021 at 19:14 | comment | added | arsmath | @LSpice I didn't see it there, though the paper is very long (110 pages) so I might have missed it. The closest I came to seeing it is in II.2, but that's about Moufang loops. | |
| May 10, 2021 at 14:25 | comment | added | LSpice | I guess Bruck introduced the eponymous loops in Contributions to the theory of loops? | |
| May 10, 2021 at 14:24 | history | edited | LSpice | CC BY-SA 4.0 |
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| May 10, 2021 at 13:11 | history | edited | arsmath | CC BY-SA 4.0 |
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| May 10, 2021 at 11:42 | history | answered | arsmath | CC BY-SA 4.0 |