groupprops.subwiki.org
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GroupProperties Subwiki is a collaborative reference for abstract algebra focused on group theory, cataloguing the many properties a group can possess (e.g., abelian, finite, nilpotent, solvable, simple). Each page provides definitions, examples, and notes on how properties relate and differ, making it a handy learning resource and quick reference.
More resources on Abstract Algebra
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
math.stackexchange.com
Math Stack Exchange is a community Q&A site for mathematics where users ask, answer, and discuss problems across topics from algebra to advanced theory. It features a large archive of math questions with detailed explanations, proofs, examples, and peer-voted high-quality answers.
Introduction to Abstract Algebra
Learn the fundamentals of abstract algebra! This course by Trefor Bazett covers groups, rings, fields and more.
Abstract Algebra
Learn abstract algebra with Socratica's free video course! Explore groups, rings, and fields.
Euler's Formula with Introductory Group Theory
3Blue1Brown video introducing groups through symmetry actions, then using the multiplicative and additive groups of numbers to explain why exponentials turn addition into multiplication and what Euler's formula means geometrically, building visual intuition for group actions and homomorphisms.
Harvard MATH E-222: Abstract Algebra
Recorded Harvard Extension School lectures by Benedict Gross, following Michael Artin's textbook Algebra. Covers groups and group actions, vector spaces and linear operators, rings, and fields, with proofs throughout. Viewers gain a rigorous first grounding in algebraic structures and symmetry.