Normal subgroups # Algebraic Structures # TAM5A

Описание к видео Normal subgroups # Algebraic Structures # TAM5A

Topics covered:
Definition: Normal subgroup
Lemma:2.6.1 N is a normal subgroup of G if and only if gNg^(-1)=N for every g∈G
Lemma:2.6.2 The subgroup N of G is a normal subgroup of G iff every left coset of N in G is a right coset of N in G.
Problem: If H is a subgroup of G, then prove that HH=H.
Lemma:2.6.3 A subgroup N of G is a normal subgroup of G iff the product of two right cosets of N in G is again right coset of N in G

Subject: Algebraic structure
Text Book: Topics in Algebra-I. N. Herstein

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