Consider the group G = {x E R|x # -1/2} under the binary operation*: X * y = 2xy – x + y – 1. The identity element e of G is 1 -1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.8: Some Results On Finite Abelian Groups (optional)
Problem 14E: Suppose that the abelian group G can be written as the direct sum G=C22C3C3, where Cn is a cyclic...
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Consider the group G = {x E R|x # -1/2} under the binary operation*:
x * y = 2xy – x + y –1.
The identity element e of G is
O 1
-1
Let b be an element in a group such
that Ord(b) = 20. Then, Ord(b^6) is *
O 6
20
O 2
10
Transcribed Image Text:Consider the group G = {x E R|x # -1/2} under the binary operation*: x * y = 2xy – x + y –1. The identity element e of G is O 1 -1 Let b be an element in a group such that Ord(b) = 20. Then, Ord(b^6) is * O 6 20 O 2 10
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