In this program
Groups
Abstract algebra · Theoretical / proof-based
Binary operations and equivalence relations
Objectives
- Binary operations and equivalence relations
- Modular arithmetic
- Groups: definitions, examples (Z, Z_n, dihedral, symmetric groups)
- Subgroups and cyclic groups; generators and order
- Cosets, Lagrange's theorem, and index
- Normal subgroups and quotient groups
- Group homomorphisms
- The first isomorphism theorem
Study materials
- Study guideComing soon
- Exam StrategyComing soon
- Common MistakesComing soon
- WorksheetsComing soon
- Word problemsComing soon
- Mixed PracticeComing soon
- Multi-Unit ProblemsComing soon
- ReviewComing soon
- Practice testComing soon
- Answer keyComing soon
Interactive practice
Quizzes, typed answers, and flashcards for this unit — coming soon.
- Coming soon
Quiz
Multiple-choice questions with instant feedback
- Coming soon
Typed practice
Type answers and check them
- Coming soon
Flashcards
Vocabulary and key facts
- Coming soon
Mixed quiz
Harder mixed review for this standard