For each of the following groups G, find an external direct product of cyclic groups of prime power order that is isomorphic to G. You may use the theorem of Gauss that is stated at the bottom of page 161. (a) Z24 (b) U (225) (c) U(224)

For each of the following groups G, find an external direct product of cyclic groups of prime power order that is isomorphic to G. You may use the theorem of Gauss that is stated at the bottom of page 161. (a) Z24 (b) U (225) (c) U(224)

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 6E: 6. For each of the following values of , describe all the abelian groups of order , up to...

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Abstract Algebra

For each of the following groups G, find an external direct product of
cyclic groups of prime power order that is isomorphic to G. You may use
the theorem of Gauss that is stated at the bottom of page 161.
(а) Z24
(b) U (225)
(c) U(224)
(d) Aut(Z27)

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