This problem is about the order of a group element and the order ofa finite group.(1).Let G be a group. Let a, b E G such that a|and aºb = ba. Then determine |ba|, i.e., the order of the group element ba E G4 and |b| = 2,(2).It is known that 7 E U(20). Determine 7-1, |7| and |7-1|

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(1).* 4 and |6| = 2, Let G be a group. Let a, b EG such that |a| and a b = ba. Then determine |ba|, i.e., the order of the group element ba e G (2). It is known that 7 € U(20). Determine 7-1, |7| and |7-1|

(1).* 4 and |6| = 2, Let G be a group. Let a, b EG such that |a| and a b = ba. Then determine |ba|, i.e., the order of the group element ba e G (2). It is known that 7 € U(20). Determine 7-1, |7| and |7-1|

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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Question

This problem is about the order of a group element and the order of
a finite group.
(1).
Let G be a group. Let a, b E G such that a|
and aºb = ba. Then determine |ba|, i.e., the order of the group element ba E G
4 and |b| = 2,
(2).
It is known that 7 E U(20). Determine 7-1, |7| and |7-1|

Expert Solution

Part (1).

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