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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
(&) O (a.b) = \m
%3D
(b) O (a.b) = Jmn
%3D
(c) O (a.b) = mn
%3|
(d) O (a.b)= L.C.M. of m and n
Transcribed Image Text: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 (&) O (a.b) = \m %3D (b) O (a.b) = Jmn %3D (c) O (a.b) = mn %3| (d) O (a.b)= L.C.M. of m and n
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