Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (1)
- Authors
- Koibaev, Vladimir A.
- Contact information
- Koibaev, Vladimir A.: North-Ossetian State University Vatutin, 44-46, Vladikavkaz, 362025 Southern Mathematical Institute VSC RAS Markus, 22, Vladikavkaz, 362027;
- Keywords
- Carpets; carpet groups; nets; elementary nets; allowable elementary nets; closed elementary nets; elementary net group; transvection
- Abstract
Elementary net (carpet) δ = (δ ij) is called admissible (closed) if the elementary net (carpet) group E(δ) does not contain a new elementary transvections. This work is related to the problem proposed by Y.N.Nuzhin in connection with the problem 15.46 from the Kourovka notebook proposed by V.M.Levchuk (admissibility (closure) of the elementary net (carpet) δ = (δij) over a field K). An example of field K and the net δ = (δij) of order n over the field K are presented so that subgroup ⟨tij(δij); tji(δji)⟩ is not coincident with group E(δ) ∩ ⟨tij(K); tji(K)⟩
- Pages
- 66–69
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/68750
Journal of Siberian Federal University. Mathematics & Physics / On a Question about Generalized Congruence Subgroups
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