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Arithmetic group
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Related lectures (29)
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Number Theory: Modular Arithmetic
Explores modular arithmetic, congruence, and number manipulation in a mathematical context, showcasing the power of modular reduction and the tricks of casting out nines.
Algorithms for Big Numbers: Z_n and Orders
Covers algorithms for big numbers, Z_n, and orders in a group, explaining arithmetic operations and cryptographic concepts.
Self-similar groups: Automorphisms of rooted trees
Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.
Number Theory: Quiz
Covers fundamental concepts in number theory with examples and quizzes.
Modular Arithmetic: Introducing Z/mZ
Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.
Binary Operations: Addition and Multiplication
Covers binary operations, including addition and multiplication of integers represented in binary form.
Commutative Groups: Foundations for Cryptography
Covers commutative groups and their significance in cryptography.
Meromorphic Differentials and Modular Forms
Explores meromorphic differentials on Riemann surfaces and modular forms on congruence subgroups.
RSA Cryptosystem: Encryption and Decryption Process
Covers the RSA cryptosystem, encryption, decryption, group theory, Lagrange's theorem, and practical applications in secure communication.