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Lie Algebra: Group Theory
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Groups: Definitions, Properties, and Homomorphisms
Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.
Diffie-Hellman Key Exchange
Explores the Diffie-Hellman key exchange protocol, covering computational challenges, subgroup issues, and key wrapping in RFC 2631.
Elliptic Curves: Group Structure and Isomorphism
Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.
Local structure of totally disconnected locally compact groups III
Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.
Subsets and subgroups associated with an action
Explores subsets and subgroups related to group actions on sets.
Proper Actions and Quotients
Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.
Mathematical Parenthesis on Groups and Lagrange Theorem
Explores cosets in commutative groups, Lagrange theorem, and integer factorization.
Commutative Groups: Foundations for Cryptography
Covers commutative groups and their significance in cryptography.