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In a group (G, 0) the elements a and b commute. Also O (a) = m and O (b) = n, are prime to each %3D other, then (6) O (a.b) = Vm %3D (b) O (a.b) = Vmn %3D (c) O (a.b) = mn (d) O (a.b)= L.C.M. of m and n

In a group (G, 0) the elements a and b commute. Also O (a) = m and O (b) = n, are prime to each %3D other, then (6) O (a.b) = Vm %3D (b) O (a.b) = Vmn %3D (c) O (a.b) = mn (d) O (a.b)= L.C.M. of m and n

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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In a group (G, O) the elements a and b commute. Also O (a) = n and O (b) = n, are prime to each other, then (a) O (a.b) = Vm %3D (b) O (a.b) = /mn (c) O (a.b) = mn %3D (d) O (a.b)= L.C.M. of m and n
Transcribed Image Text:In a group (G, O) the elements a and b commute. Also O (a) = n and O (b) = n, are prime to each other, then (a) O (a.b) = Vm %3D (b) O (a.b) = /mn (c) O (a.b) = mn %3D (d) O (a.b)= L.C.M. of m and n
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