Recent content by vanckzhu

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    Prove that p-group of order p^n is not simple

    Homework Statement Show that, for p prime and n greater than or equal to 2, that every group of order Pp^n is not simple. Homework Equations N/A The Attempt at a Solution Hint given regarding the center. I know that the center is not trivial, but I guess I have to show that the...
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    What Does Column n-Tuple Mean in Vector Spaces?

    Thanks for the detailed explanation :).
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    What Does Column n-Tuple Mean in Vector Spaces?

    Yet another silly question from me :/. From an instructor's notes: "Let V = R^n be the vector space of column n-tuples of real numbers." Not quite sure what the "tuple" means. For R^3, would an example be the transpose of (1,2,3)? Thanks in advance for responding. While we're at it, any...
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    Are Natural Bijections Only About Terminology in Category Theory?

    Thanks guys, really appreciate the help. Speaking of resources, any recommendations for material readily available online? I'm just going looking through some abstract and linear algebra on my own time. Currently I'm working through a free ebook at http://www.math.miami.edu/~ec/book/book.pdf" ...
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    Are Natural Bijections Only About Terminology in Category Theory?

    Seems like a silly question, but a search of the forum and Google and my online textbook yielded no results (*shakes fist at textbook writer). Please help?
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