Mark Sapir
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1608/1000 score
 Nov 1 awarded Notable Question Oct 4 awarded Good Answer Aug 28 awarded Necromancer Jul 25 awarded Nice Answer Jun 22 awarded Yearling Jun 6 awarded Nice Answer May 10 reviewed Leave Open Which operators other than self-adjoint operators have no purely imaginary eigenvalues? May 10 reviewed Leave Open quantum deformation May 10 comment Class field towers @FranzLemmermeyer Your and David Loeffler's comments do help finding true motivation for the class tower problem. Thanks! Apr 24 comment Class field towers @quid Yes, it is the same paper, published in Abh. Math. Semin. Univ. Hambg. (2009) 79: 165–187. Apr 24 comment Class field towers @quid I looked at that discussion. As far as I understand from Lemmermeyer's paper (the link on that page is broken, but I found the paper anyway), it is more about ideals and their unique prime decompositions, i.e., class number 1, than about general class number. It is good to know that reciprocity laws played important role in the development of the theory of ideal numbers. I did not know that before. FLT also played a role, whether decisive or not - it is not that important to me. Apr 24 awarded Nice Question Apr 23 revised Class field towers Corrected a misprint in the second line. Apr 23 comment Class field towers Thank you! It does make sense. But at least FLT was the main reason for defining the class number. Right? Apr 23 comment Class field towers The question was more about motivation. I always thought that FLT was the motivation for the class tower problem. But it looks like there is no close relation. Apr 23 accepted Class field towers Apr 23 comment Class field towers Thank you very much! Apr 23 comment Class field towers @DavidLoeffler: If the class number of $\mathbb{Q}[\zeta]$ is 1, $\zeta^n=1$, then FLT for that $n$ follows, right? Isn't it enough to assume that $\zeta$ is inside a number field with class number 1? Apr 23 comment Class field towers @DavidLoeffler: Would the case when $p$ is prime imply FLT? Apr 23 asked Class field towers