- principal congruence
- мат. главная конгруэнция
Большой англо-русский и русско-английский словарь. 2001.
principal congruence
Смотреть что такое "principal congruence" в других словарях:
Congruence subgroup — In mathematics, a congruence subgroup of a matrix group with integer entries is a subgroup defined by congruence conditions on the entries. A very simple example would be invertible 2x2 integer matrices of determinant 1, such that the off… … Wikipedia
Congruence lattice problem — In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem was posed by Robert P. Dilworth, and for many years it was one of the most … Wikipedia
Modular group — For a group whose lattice of subgroups is modular see Iwasawa group. In mathematics, the modular group Γ is a fundamental object of study in number theory, geometry, algebra, and many other areas of advanced mathematics. The modular group can be… … Wikipedia
First Hurwitz triplet — In the mathematical theory of Riemann surfaces, the first Hurwitz triplet is a triple of distinct Hurwitz surfaces with the identical automorphism group of the lowest possible genus, namely 14 (genera 3 and 7 admit a unique Hurwitz surface,… … Wikipedia
Hurwitz quaternion order — The Hurwitz quaternion order is a specific order in a quaternion algebra over a suitable number field. The order is of particular importance in Riemann surface theory, in connection with surfaces with maximal symmetry, namely the Hurwitz surfaces … Wikipedia
Macbeath surface — In Riemann surface theory and hyperbolic geometry, the Macbeath surface, also called Macbeath s curve or the Fricke–Macbeath curve, is the genus 7 Hurwitz surface.The automorphism group of the Macbeath surface is the simple group PSL(2,8),… … Wikipedia
Modular curve — In number theory and algebraic geometry, a modular curve Y(Γ) is a Riemann surface, or the corresponding algebraic curve, constructed as a quotient of the complex upper half plane H by the action of a congruence subgroup Γ of the modular group of … Wikipedia
Systolic geometry — In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner, and developed by Mikhail Gromov and others, in its arithmetic, ergodic, and topological manifestations.… … Wikipedia
Hurwitz surface — In Riemann surface theory and hyperbolic geometry, a Hurwitz surface, named after Adolf Hurwitz, is a compact Riemann surface with precisely :84( g − 1) automorphisms, where g is the genus of the surface. This number is maximal by virtue of… … Wikipedia
Systoles of surfaces — In mathematics, systolic inequalities for curves on surfaces were first studied by Charles Loewner in 1949 (unpublished; see remark at end of Pu s paper in 52). Given a closed surface, its systole, denoted sys, is defined to the least length of a … Wikipedia
Clebsch surface — In mathematics, the Clebsch diagonal cubic surface, or Klein s icosahedral cubic surface is a cubic surface studied by Clebsch (1871) and Klein (1873) all of whose 27 exceptional lines can be defined over the real numbers. The term Klein s… … Wikipedia
