Beginners To an Advanced Course on Group Theory

Need 100 members to start!

Hello, everyone I, Arkabrata Das would be organizing an online workshop on group theory. The lectures would be live-streamed on my youtube channel. I am planning to start this course from 22 nd, April 2020. There would be two to three sessions per week and each session would be one hour long. There will be assignments every week. The sessions would be free of cost and I need at least 100 members to start the course. Please do share it among your friends and please do tell them to fill up this sign up form on the right side of this page. As soon as it reaches the 100 limits, I would email you all the details about the live streaming.

Topics that you will learn in this course

  • Groups: Definition, Dihedral Groups, Symmetric Groups, Matrix Groups, The Quaternion Group, Cyclic Groups

  • Subgroups: Definition, Centralizers, Normalizers, Stabilizer, Kernels, cyclic subgroups, subgroups generated by subsets of a group, the lattice of subgroups of a group,

  • quotient groups, homomorphism, and Isomorphisms: Definition, cosets, Lagrange’s Theorem, The Isomorphism theorems, Transpositions, the Alternating Group

  • Group Action: Group Actions and Permutation Representations, Groups Acting on themselves by Left Multiplication- Caley’s Theorem, Groups Acting on themselves by conjugation- The class equation, Automorphisms, The Sylow theorems, The simplicity of A_n.

  • Direct and Semidirect products and Abelian Groups, The fundamental theorem of finitely generated abelian groups.

  • Further Topics: p-group, Nilpotent Groups, and Solvable Groups.

Reference Books:

  • Abstract Algebra by David S. Dummit and Richard M. Foote
  • TOPICS IN ALGEBRA by Israel Nathan Herstein
  • Contemporary abstract algebra by Joseph Gallian

Current count: 31. Need 69 more students to sign up

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Enrolled: 52 students
Duration: 4 months
Lectures: 1
Level: Advanced