Solvable Groups: Part 1

Related lectures (31)

Page 3 of 4

Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.

Covers the concept of group presentations using generators and relations to define groups.

Covers Lagrange's theorem, group homomorphisms, congruence classes, and normal subgroups.

Explores cosets in commutative groups, Lagrange theorem, and integer factorization.

Introduces combinatorial group theory, emphasizing group presentations, normal subgroups, and group quotients.

Explores the Diffie-Hellman key exchange protocol, covering computational challenges, subgroup issues, and key wrapping in RFC 2631.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.

Explores the arithmetic of direct sums in group theory, discussing conditions for equality.

Explores group actions, defining functors on groups, and verifying properties of group actions.