Consider the group G = {x € R such that x # 0} under the binary operation *: x*y=-2xy O x*x*x=4x^3 O ****x=-x^3/4 O x*x*x=2x^3 x*x*x=x^3/4

Consider the group G = {x € R such that x # 0} under the binary operation : xy=-2xy O xxx=4x^3 O ****x=-x^3/4 O xxx=2x^3 xxx=x^3/4

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.7: Direct Sums (optional)

Problem 21E

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Consider the group G = {x € R such that x # 0} under the binary operation *:
x*y=-2xy
x*x*x=4x^3
X*x*x=-x^3/4
x*x*x=2x^3
x*x*x=x^3/4
Consider the group G={x € Rsuch that x#0} under the binary operation *: TH
identity element ofG is e=-1/2. The order of the element +2 is:
re to search
TOSHIBA

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