Coset,Normal Subgroup,Quotient Group
Left congruence
Let G be a group and H be a subgroup of G.
Elements
of G are left congruent modulo H.
Left coset
Right congruence
Elements
of G are right congruent modulo H.
Right coset
Index of H with respect to G =
Number of left cosets of subgroup H of G
H is a normal subgroup.
The product of cosets
is also a coset.
The totality of cosets also forms a group called a coset group (quotient group).
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