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If ah is a coset in g, then | point o a must belong to ah o a can't belong to ha o a can't belong to ah o a must belong to ah but not in ha cycles (12 3) and (1
If aH is a coset in G, then | point O a must belong to aH O a can't belong to Ha O a can't belong to aH O a must belong to aH but not in Ha Cycles (12 3) and (13 2) of S_3 1 point are S3 Inverses of each other O odd permutation Otranspositions O none of these
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Deepak singh 1
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in first question - a always belongs to aH ( by property of coset ) , so option i is true . and in second question- order of (123) and (132) are 3 , so can't be transposition , are even permutations and are self inverse of each other (see attachment) , So option a is correct. if any doubt then ask
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Piyush pachauri
a must belong to aH , as H is a subgroup implies identity belongs to H , so a.e = a belong to aH Inverse of each other.
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Piyush pachauri
a must belong to aH , as H is a subgroup implies identity belongs to H , so a.e = a belong to aH Inverse of each other.
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Piyush pachauri
a must belong to aH , as H is a subgroup implies identity belongs to H , so a.e = a belong to aH Inverse of each other.
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Supriya shiwani
a must belong to aH and second qestion inverse of each other