A5052779151- Finite Group Theory Research
- Coding theory and cryptography
- graph theory and CDMA systems
- Geometric and Algebraic Topology
- Advanced Algebra and Geometry
- Advanced Topics in Algebra
- Particle physics theoretical and experimental studies
- Neutrino Physics Research
- Dark Matter and Cosmic Phenomena
- Advanced Graph Theory Research
- Rings, Modules, and Algebras
- Chronic Lymphocytic Leukemia Research
- Advanced Topology and Set Theory
- Limits and Structures in Graph Theory
- Algebraic structures and combinatorial models
- Quantum Chromodynamics and Particle Interactions
- Geometry and complex manifolds
- Cooperative Communication and Network Coding
- Cosmology and Gravitation Theories
- Homotopy and Cohomology in Algebraic Topology
- Graph theory and applications
- Chromatin Remodeling and Cancer
- Algebraic Geometry and Number Theory
- semigroups and automata theory
- Advanced Mathematical Theories
Sobolev Institute of Mathematics
2014-2023
Novosibirsk State University
2013-2023
Siberian Branch of the Russian Academy of Sciences
2007-2023
Russian Academy of Sciences
2001-2011
N-Higgs doublet models (NHDMs) are a popular framework to construct electroweak symmetry breaking mechanisms beyond the standard model. Usually, one builds an NHDM scalar sector which is invariant under certain group. Although several such groups have been used, no general analysis of symmetries possible in exists. Here, we make first step toward this goal by classifying elementary building blocks, namely Abelian groups, with special emphasis on finite groups. We describe strategy that...
N-Higgs-doublet models (NHDM) are among the most popular examples of electroweak symmetry breaking mechanisms beyond Standard Model. Discrete symmetries imposed on NHDM scalar potential play a pivotal role in shaping phenomenology model, and various groups have been studied so far. However, spite all efforts, classification finite Higgs-family realizable for any N>2 is still missing. Here, we solve this problem three-Higgs-doublet model by making use Burnside's theorem other results from...
Let be a set of primes. Generalizing the known properties Sylow subgroups, Hall introduced classes , , and finite groups that contain a -subgroup, precisely one conjugacy class -subgroups, and maximal respectively. The present paper concerns results about have been obtained by different authors at times. Bibliography: 113 titles.
In the paper we obtain an existence criterion for Hall subgroups of finite groups in terms a composition series.
2011 г. сентябрь октябрь т. 66
We prove that the base size of a transitive group $G$ with solvable point stabilizer and trivial radical is not greater than $k$ provided same statement holds for $G$-induced automorphisms each nonabelian composition factor $G$.