Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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<1: Let G be a group and let A and B be subgroups of G. Let x, y e G. We define the relation x~y by the following definition: 4. x~y iff y = axb for some a e A, be B Prove that this relation is an equivalence relation on G.
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Transcribed Image Text:<1: Let G be a group and let A and B be subgroups of G. Let x, y e G. We define the relation x~y by the following definition: 4. x~y iff y = axb for some a e A, be B Prove that this relation is an equivalence relation on G.
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