Lectures related to Torsion (algebra)

Examines geometric singularities in architectural design through the analysis of spatial intersections.

Covers nonuniform torsion, strain energy, torsional constants, and shear flow in structural members with practical examples.

Explores the concept of torsion in group theory, focusing on its Hom functoriality and its role in exact sequences.

Covers the concepts of torsion and divisibility in group theory.

Explores torsion and divisibility in abelian groups, including p-divisible groups and their contrast with torsion elements.

Explores split exact sequences in group theory with a focus on characterization and isomorphisms.

Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.

Covers the Five Lemma, a fundamental result in exact sequences theory.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.

Introduces torsion and divisibility concepts in abelian groups to describe their structure.

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

Explores exact sequences of abelian group homomorphisms and provides examples.

Covers exact sequences, torsion, divisibility, and operations on abelian groups.

Explores the theory of finite strain and rotation in Kirchhoff rods, covering inextensible strains, finite rotations, and equilibrium.

Covers the properties of the ring of Eisenstein integers and its submodule structure.

Explores the application and formulation of the finite element method in solving various engineering problems.