Lecture
Principal Congruence Subgroup of Level 2
In course
DEMO: sunt in
Excepteur culpa est do quis non incididunt aliquip in quis id. Culpa consequat sit sint veniam minim Lorem ex officia incididunt sint velit culpa nisi. Sit nisi duis enim quis aliquip incididunt sit irure exercitation.
Description
This lecture delves into the study of the principal congruence subgroup of level 2, denoted as Gamma(2), focusing on establishing basic results on the group structure and computing a fundamental domain of the action of Gamma(2) on the upper half-plane. The slides present theorems related to the free generation of Gamma(2) by specific elements, the fundamental domain of its action, and the proof steps involving free groups and injectivity considerations. The lecture concludes with claims and proofs related to the injectivity of certain mappings, emphasizing the importance of understanding the structure and properties of Gamma(2).
Instructor
culpa in laboris aliquip
Ea sunt ad aliqua ad. Voluptate amet esse fugiat laboris dolor ipsum aliquip. Qui minim aute cillum ullamco cillum eiusmod in quis incididunt laboris amet pariatur consequat. Do qui amet dolore nisi mollit qui sit. Amet in dolor veniam excepteur aliquip labore magna adipisicing esse exercitation.
Official source
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Ontological neighbourhood
Related lectures (30)
Vector Valued Functions
Explores vector valued functions, their representations, uniqueness, and congruence subgroups.
Group Presentation of S3
Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.
Modular curves: Riemann surfaces and transition maps
Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.
Normal Subgroups and Quotients
Introduces normal subgroups, group quotients, and their applications in group theory.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.