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Check whether the following are groups. Justify your answer. (i) (G, *) where G= {1, 2, 4, 8}, and * denotes multiplication modulo 12. That is, a*b=Remainder obtained when ab is divided by 12. (ii) (G, A) where G= {6,12,18,24}, and A denotes multiplication modulo 30.

Check whether the following are groups. Justify your answer. (i) (G, *) where G= {1, 2, 4, 8}, and * denotes multiplication modulo 12. That is, a*b=Remainder obtained when ab is divided by 12. (ii) (G, A) where G= {6,12,18,24}, and A denotes multiplication modulo 30.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Check whether the following are groups. Justify your answer. (i) (G, *) where G= {1, 2, 4, 8}, and * denotes multiplication modulo 12. That is, a*b=Remainder obtained when ab is divided by 12. (ii) (G, A) where G = {6,12,18,24}, and A denotes multiplication modulo 30. 3.
Transcribed Image Text:Check whether the following are groups. Justify your answer. (i) (G, *) where G= {1, 2, 4, 8}, and * denotes multiplication modulo 12. That is, a*b=Remainder obtained when ab is divided by 12. (ii) (G, A) where G = {6,12,18,24}, and A denotes multiplication modulo 30. 3.
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