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Created by SuccessTed
Hindi, English
Complete Course with 180 Days Course Validity
Description:
This Group Theory Complete Course covers the fundamental concepts and advanced topics in group theory. Students will learn about group operations, subgroups, group homomorphisms, isomorphisms, and group actions. The course also delves into applications of group theory in various fields such as physics, chemistry, and computer science.
Key Highlights:
What you will learn:
Live learning-
Learn live with top educators, chat with teachers and other attendees, and get your doubts cleared.
Structured learning
Our curriculum is designed by experts to make sure you get the best learning experience.
Practice tests
With the quizzes and live tests practice what you learned, and track your class performance
Learn with the best
Stuck on something? Discuss it with your peers and the instructors in the inbuilt chat groups.
Algebra: Permutations, combinations, pigeon-hole principle, inclusion-exclusion principle, derangements. Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem, Euler’s Ø- function, primitive roots. Groups, subgroups, normal subgroups, quotient groups, homomorphisms, cyclic groups, permutation groups, Cayley’s theorem, class equations, Sylow theorems. Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domain, principal ideal domain, Euclidean domain. Polynomial rings and irreducibility criteria. Fields, finite fields, field extensions, Galois Theory.
Launch your Graphy
