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2. Let (G,) be a group of order n, that is, |G|=n. Suppose that a, b E G are given. Find how many solutions the following equations have (your answer may depend on n) in G. a X.ba X².b = (X is the variable) X. a = b.Y (X,Y are the variables) i) ii)

2. Let (G,) be a group of order n, that is, |G|=n. Suppose that a, b E G are given. Find how many solutions the following equations have (your answer may depend on n) in G. a X.ba X².b = (X is the variable) X. a = b.Y (X,Y are the variables) i) ii)

Advanced Engineering Mathematics
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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2. Let (G,) be a group of order n, that is, |G|=n. Suppose that a, b E G are given. Find how many solutions the following equations have (your answer may depend on n) in G. a X.ba.X².b 1 (X is the variable) X. a = b.Y (X,Y are the variables) i) ii)
Transcribed Image Text:2. Let (G,) be a group of order n, that is, |G|=n. Suppose that a, b E G are given. Find how many solutions the following equations have (your answer may depend on n) in G. a X.ba.X².b 1 (X is the variable) X. a = b.Y (X,Y are the variables) i) ii)
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