Timeline for Idempotent Laurent polynomials (in noncommuting variables)
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 16, 2021 at 19:42 | comment | added | Benjamin Steinberg | You are right Higman did use indicability and did it to get no zero divisors | |
| Jan 16, 2021 at 19:39 | comment | added | Benjamin Steinberg | Yes. But I had thought Higman went through orderability but I dont remember | |
| Jan 16, 2021 at 18:50 | comment | added | Fedor Petrov | (of course, Higman's paper preceeds Kaplansky conjecture, so he does not use such words) | |
| Jan 16, 2021 at 18:28 | comment | added | YCor | The argument being straightforward for locally indicable groups (for convenience I included it in an answer, it's unnecessary to to go through left-orderability. Maybe the latter is useful to prove the non-existence of zero divisors at all. | |
| Jan 16, 2021 at 18:13 | comment | added | Fedor Petrov | @BenjaminSteinberg I am not an expert in history of algebra at all, but Hidman talks a lot about free groups and seems to pretend to be the first to prove Kaplansky conjecture for free groups. | |
| Jan 16, 2021 at 17:56 | comment | added | Benjamin Steinberg | I think it was known that free groups are left orderable since Magnus before it was known that locally indicable implies left orderable, such was Burns. | |
| Jan 16, 2021 at 17:54 | history | edited | Fedor Petrov | CC BY-SA 4.0 |
added 94 characters in body
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| Jan 16, 2021 at 17:47 | history | answered | Fedor Petrov | CC BY-SA 4.0 |