Примеры использования Group theory на Английском языке и их переводы на Русский язык
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Public goods and group theory.
In Lie group theory, central extensions arise in connection with algebraic topology.
See any text on basic group theory.
Group theory- studies the algebraic structures known as groups. .
It is an important tool in geometric group theory.
His main research interests are group theory and geometric group theory.
Topology, algebraic geometry and geometric group theory;
Burnside's lemma, a counting technique in Group Theory was discovered by Augustin Louis Cauchy, or possibly others.
Several examples of Steiner systems are closely related to group theory.
He is most famous for his work in group theory and mathematical physics.
He has made important contributions to both knot theory and Rubik's Cube group theory.
His major work was on group theory, notably on finite groups and solvable groups. .
Du Sautoy's academic work concerns mainly group theory and number theory. .
The fundamental theorem of Galois theory provides a link between algebraic field extensions and group theory.
Poincaré introduced group theory to physics, and was the first to study the group of Lorentz transformations.
The number of vibrational modes of a metal carbonyl complex can be determined by group theory.
They are a source of counterexamples to conjectures in group theory, most importantly to Burnside's problem and the von Neumann conjecture.
In 1885 he published an article on conics in the plane where he demonstrated how group theory facilitated the study.
Geometric group theory, as a distinct area, is relatively new, and became a clearly identifiable branch of mathematics in the late 1980s and early 1990s.
They arise naturally in many mathematical contexts, in particular geometric group theory and probability theory. .
Reidemeister's interests were mainly in combinatorial group theory, combinatorial topology, geometric group theory, and the foundations of geometry.
Scientific and technical achievements: it was developed a new direction in pattern recognition based on normalization and group theory.
He is a specialist in the field of combinatorial and geometric group theory, and also has several papers on Lie algebras and associative algebras.
In the 2000s,Petit integrates Souriau's mathematical physics and fully geometrize his model with group theory.
Since the mid-1980s, geometric group theory, which studies finitely generated groups as geometric objects, has become an active area in group theory. .
After novel geometries such as hyperbolic and projective geometry had emerged,Klein used group theory to organize them in a more coherent way.
Geometric group theory closely interacts with low-dimensional topology, hyperbolic geometry, algebraic topology, computational group theory and differential geometry.
Dihedral groups are among the simplest examples of finite groups, andthey play an important role in group theory, geometry, and chemistry.
Another connection with group theory is that, given any group, symmetrical graphs known as Cayley graphs can be generated, and these have properties related to the structure of the group. .
The second branch of algebraic graph theory involves the study of graphs in connection to group theory, particularly automorphism groups and geometric group theory.