1 citations · 2 across the 6 of their papers we have counts for
6 papers
A number theoretic classification of toroidal solenoids
Maria Sabitova
We classify toroidal solenoids defined by non-singular -matrices with integer coefficients by studying associated first Ĉech cohomology groups. In a previous work, w…
On -odometers associated to integer matrices
Sergei Merenkov, Maria Sabitova
We extend the results of T. Giordano, I. F. Putnam, C. F. Skau contained in ``-odometers and cohomology", Groups Geom. Dyn. 13 (2019), no. 3, P. 909-938, on characteri…
From Apollonian packings to homogeneous sets
Sergei Merenkov, Maria Sabitova
We extend fundamental results concerning Apollonian packings, which constitute a major object of study in number theory, to certain homogeneous sets that arise naturally in complex…
The orbit method for profinite groups and a p-adic analogue of Brown's theorem
Mitya Boyarchenko, Maria Sabitova
We develop an approach to the character theory of certain classes of finite and profinite groups based on the construction of a Lie algebra associated to such a group, but without…
Centralizers of generic elements of Newton strata in the adjoint quotients of reductive groups
Mitya Boyarchenko, Maria Sabitova
We study the Newton stratification of the adjoint quotient of a connected split reductive group G with simply connected derived group over the field F of formal Laurent series in o…
Root numbers of curves
M. Sabitova
We generalize a theorem of D. Rohrlich concerning root numbers of elliptic curves over the field of rational numbers. Our result applies to curves of all higher genera over number…