33 citations · 137 across the 39 of their papers we have counts for
5 papers · 1 filter
The unramified inverse Galois problem and cohomology rings of totally imaginary number fields
Magnus Carlson, Tomer M. Schlank
We employ methods from homotopy theory to define new obstructions to solutions of embedding problems. By using these novel obstructions we study embedding problems with non-solvabl…
From weak cofibration categories to model categories
Ilan Barnea, Tomer M. Schlank
In [BaSc2] the authors introduced a much weaker homotopical structure than a model category, called a "weak cofibration category". We further showed that a small weak cofibration c…
Sieves and the Minimal Ramification Problem
Lior Bary-Soroker, Tomer M. Schlank
The minimal ramification problem may be considered as a quantitative version of the inverse Galois problem. For a nontrivial finite group , let be the minimal integer …
The Brauer-Manin obstruction to the local-global principle for the embedding problem
Ambrus Pal, Tomer M. Schlank
We study an analogue of the Brauer-Manin obstruction to the local-global principle for embedding problems over global fields. We will prove the analogues of several fundamental str…
Sylow theorems for -groups
Matan Prasma, Tomer M. Schlank
Viewing Kan complexes as -groupoids implies that pointed and connected Kan complexes are to be viewed as -groups. A fundamental question is then: to what extent can…