Timeline for When did the meaning of the term "metabelian" change?
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4 events
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| Aug 12, 2013 at 7:46 | comment | added | Primoz | A quick (but not thorough) check on MathSciNet indicates that almost all of the authors (not just Russians) in the last 10 years or so use the term metabelian Lie algebra for 2-step solvable ones. There might be exceptions. | |
| Aug 12, 2013 at 7:14 | comment | added | Vladimir Dotsenko | Oh that's most interesting. Thanks. I did not quite realise this aspect: I am mostly interested in metabelian Lie algebras, and all Russians I know always meant 2-step solvable by it, while the PhD thesis I mention in the original question was written in the US. Is it also the case that the history of the term kind of developed independently for groups and for Lie algebras? That'd be amusing. | |
| Aug 12, 2013 at 5:25 | comment | added | user6976 | Indeed, the two meanings of the word "metabelian" existed side-by-side for many years. I guess that the Russian meaning goes back to Kurosh's book, and the Western meaning - to P. Hall's book (I do not have any of the two books with me now, but it is easy to check). So it is not true that one meaning "evolved" into another one. Simply since Russian mathematicians now publish their papers in Western journals, they use Western terminology. | |
| Aug 12, 2013 at 4:13 | history | answered | Primoz | CC BY-SA 3.0 |