2.6. Let G be a group. Define an opposite group Gº with law of composition a * b as follows: The underlying set is the same as G, but the law of composition is a * b = ba. Prove that Go is a group.
2.6. Let G be a group. Define an opposite group Gº with law of composition a * b as follows: The underlying set is the same as G, but the law of composition is a * b = ba. Prove that Go is a group.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2.6. Let \( G \) be a group. Define an opposite group \( G^\circ \) with law of composition \( a * b \) as follows: The underlying set is the same as \( G \), but the law of composition is \( a * b = ba \). Prove that \( G^\circ \) is a group.
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