-adic completions and automorphisms of nilpotent groups
-groups, diagonalizable automorphisms and loops
-hypergoupes
-группоиды и -сети
-partitions and a multi-parameter Klyachko idempotent.
and line-transitive linear spaces.
(3) as a symmetric (36, 15, 6)-design
p-adic deformations of cohomology classes of subgroups of GL (N,Z).
Painlevé equations and complex reflections
We will explain how some new algebraic solutions of the sixth Painlevé equation arise from complex reflection groups, thereby extending some results of Hitchin and Dubrovin-- Mazzocco for real reflection groups. The problem of finding explicit formulae for these solutions will be addressed elsewhere.
Paires duales réductives en caractéristique 2
Pairs of symmetries of Riemann surfaces.
Parabolic bundles, elliptic surfaces and SU (2)-representation spaces of genus zero Fuchsian groups.
Parabolic isometries of CAT(0) spaces and CAT(0) dimensions.
Parabolic subgroups with Abelian unipotent radical.
Parallelepipeds, nilpotent groups and Gowers norms
In his proof of Szemerédi’s Theorem, Gowers introduced certain norms that are defined on a parallelepiped structure. A natural question is on which sets a parallelepiped structure (and thus a Gowers norm) can be defined. We focus on dimensions and and show when this possible, and describe a correspondence between the parallelepiped structures and nilpotent groups.
Paramedial groupoids
Parametrized braid groups of Chevalley groups.
Parastrophically Equivalent Quasigroup Equations
Parity of orthogonal automorphisms
Parity of orthogonal permutations