Parity of a permutation

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Page 2 of 3

Covers symmetric groups, transpositions, sign of a permutation, and conjugacy classes in permutations.

Explores permutations preserving adjacency, linear transformations, groups, and sub-groups.

Introduces algebraic structures essential for understanding mathematical objects used in science and engineering.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Explores the special linear group, matrix properties, and determinant theorems.

Explores properties of matrices, irreducibility, and graph connectivity in networked control systems.

Explores permutations, signature, and alternating multilinear forms in vectors.

Explores the Steinitz Lemma and the concept of cycles in linear algebra.

Covers the definition of a group, properties of symmetries, and group operations.