Recent content by spotsymaj

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    Quotient Group is isomorphic to the Circle Group

    What does this mean?
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    Quotient Group is isomorphic to the Circle Group

    Not really! I have taught myself this whole course
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    Quotient Group is isomorphic to the Circle Group

    A portion of a homework problem was given me to solve for practice. I have solved some but not all of the homework problem and I hope you all can help. Here is the problem: 1. For each x \in R it is conventional to write cis(x) = cos(x) + i sin(x). Prove that cis(x+y) = cis(x) cis(y)...
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    Graduate Can a Group Be the Union of Two Proper Subgroups?

    The following problem was given on a test of mine and I got it completely wrong. If anyone can help me with solving this problem that would be great Let H and K be a subgroup of G, such that H is not equal to G and K is not equal to G . Prove that H union K is not equal to G. Hint: A group...