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Group Theory Midterm Solutions by Stephen Randall is a document available to read on EtoBox.

What is Group Theory Midterm Solutions about?

The document contains the solutions to 5 problems from a math midterm exam: 1) Computing properties of a subgroup of a cyclic group of order 15. 2) Proving that a nonempty subset H of a group G is a subgroup if xy^-1 is in H for all x,y in H. 3) Proving that every subgroup of a cyclic group is cyclic, and that a cyclic group of order n has φ(n) generators. 4) Proving that the set of elements of finite order in an abelian group is a subgroup. 5) Proving a group G is abelian if the right cosets of its

Author

Stephen Randall

Language

EN