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Learn fundamental examples of groups in abstract algebra through detailed explorations of the dihedral group, symmetric group with cycle notation, alternating group, transpositions with even and odd permutations, and the quaternion group, providing concrete illustrations of abstract algebraic structures and their properties.
Syllabus
Abstract Algebra | The dihedral group
Abstract Algebra | The symmetric group and cycle notation.
Abstract Algebra | The Alternating Group
Abstract Algebra | Transpositions and even and odd permutations.
Abstract Algebra | The quaternion group
Taught by
Michael Penn