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Quotient group # Algebraic Structures # TAM5A
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Topics covered:
Notation: G/N
Theorem:2.6.1
If G/N is a group, N is a normal subgroup of G, then G/N is also a group.
Definition: Quotient group or Factor group
Lemma:2.6.4
If G is a finite group and n is a normal subgroup of G then O(G/N)=O(G)/O(N).
Subject: Algebraic structure
Text Book: Topics in Algebra-I. N. Herstein
Notation: G/N
Theorem:2.6.1
If G/N is a group, N is a normal subgroup of G, then G/N is also a group.
Definition: Quotient group or Factor group
Lemma:2.6.4
If G is a finite group and n is a normal subgroup of G then O(G/N)=O(G)/O(N).
Subject: Algebraic structure
Text Book: Topics in Algebra-I. N. Herstein
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