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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,