Abstract Algebra - 3.1 Finite Groups and Subgroups: Terminology and Notation
Most of this chapter will revolve around the idea of a subgroup. However, we must begin by being able to differentiate between a finite group and infinite group. We look at some notation and definitions (order of a group, order of an element) before jumping into subgroups. Video Chapters: Intro 0:00 Finite vs. Infinite Groups 0:16 Order of a Group vs. Order of an Element (Z3 and U(15)) 2:36 A Few Practice (D4, U20, GL(2,Z), Z12) 8:47 Introduction to Subgroups 14:40 Definition of a Subgroup 17:20 Up Next 19:59 This playlist follows Gallian text, Contemporary Abstract Algebra, 9e. Playlist: • Abstract Algebra (Entire Course) Slide Decks: https://bellevueuniversity-my.sharepo...
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Abstract Algebra - 3.2 Subgroup Tests
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Group Definition (expanded) - Abstract Algebra
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Full Walkthrough: MLE vs MAP
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Group theory, abstraction, and the 196,883-dimensional monster
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Abstract Algebra - 4.1 Cyclic Groups and Their Properties (𝑎^𝑖=𝑎^𝑗)
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Abstract Algebra - 1.1 Symmetries of a Square
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When Math Isn’t Based in Reality
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Abstract Algebra - 2.1 Definition and Examples of Groups
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Abstract Algebra - 5.1 Permutations, Composition, and Cycle Notation
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We're 99.9% sure this pattern is true, but no one can prove it
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Group Multiplication Tables | Cayley Tables (Abstract Algebra)
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Finite Groups & Subgroups - Abstract Algebra I (full course) - lecture 5a (of 17)
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Gauss — Das Geheimnis des größten Mathematikers aller Zeiten
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Abstract Algebra - 6.1 Definition and Understanding of Isomorphisms
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Abstract Algebra - 9.1 Normal Subgroups
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All About Subgroups | Abstract Algebra
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Cosets and Lagrange’s Theorem - The Size of Subgroups (Abstract Algebra)
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Abstract Algebra Exam 1 Review Problems and Solutions
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