7.(finite) order. Let m be the smallest positive integer such that am e< b >,and n be the smallest positive integer such that b" E< a >. Prove that|a"| = |b"|, Let a, b be two elements in a group. Suppose a, b are of the same

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Let a,b be two elements in a group. Suppose a, b are of the same er. Let m be the smallest positive integer such that a" E< b >, the smallest positive integer such that b" E< a >. Prove that

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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7.
(finite) order. Let m be the smallest positive integer such that am e< b >,
and n be the smallest positive integer such that b" E< a >. Prove that
|a"| = |b"|
, Let a, b be two elements in a group. Suppose a, b are of the same

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