(1) list all elements of the groups and their orders. (2) determine whether the groups are cyclic. (3) determine whether the groups are abelian. (4) determine non-trivial proper subgroups (as many as you can) and nor- mal subgroups of the groups. (5) determine the group(s) that is/are isomorphic to the group discussed. Use definitions/theorems to support your work.

(1) list all elements of the groups and their orders. (2) determine whether the groups are cyclic. (3) determine whether the groups are abelian. (4) determine non-trivial proper subgroups (as many as you can) and nor- mal subgroups of the groups. (5) determine the group(s) that is/are isomorphic to the group discussed. Use definitions/theorems to support your work.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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