Let G = . The smallest subgroup of G containing a^8 and a^12 is generated by * a^12 a^4 a^6 a^2 Arithmetical subtraction (-) is binary relation on * O N O Z+ O z-

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 4E: 4. List all the elements of the subgroupin the group under addition, and state its order.
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Abstract algebra Help please
Let G = <a>. The smallest subgroup of
G containing a^8 and a^12 is generated
by *
a^12
a^4
a^6
a^2
Arithmetical subtraction (-) is binary
relation on
*
O N
O Z+
O z-
Transcribed Image Text:Let G = <a>. The smallest subgroup of G containing a^8 and a^12 is generated by * a^12 a^4 a^6 a^2 Arithmetical subtraction (-) is binary relation on * O N O Z+ O z-
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