Definition of Sub Group with Examples | Abstract Algebra | BSc 1st Semester Mathematics
Автор: Unique Mathematics
Загружено: 2025-12-28
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In this Video series, we will discuss about the syllabus of the BSc Mathematics first semester
Binary operation. Addition and multiplication modulo operations. Definition of a group with examples and simple properties, Permutation group, cycle, transpositions, even and odd permutations, and alternating group. Order of an element of a group and its properties. Subgroups of a group with its properties, Cyclic groups, and their properties, Cosets. Index of a subgroup, Lagrange’s theorem, and its applications.
Normal subgroups with properties. Simple groups, Quotient groups.
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