(2) Consider the polynomial f(x) x 5 Q and let E Q(i, V5) be its splitting field Q (a) Show that GL(E Q) E Q 8 (b) Describe all the automorphisms 01, ,os in GL(E Q) (c) Write the multiplication table for the group GL(E Q) (d) Which finite group is GL(E Q) isomorphic to Hint there are only two non ...

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(2) Consider the polynomial f(x) = x 5 Q and let E = Q(i,...

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(2) Consider the polynomial f(x) = x4 – 5 € Q and let E = Qli, 15) be its splitting field /Q. (a) Show that GL(E/Q)] = [E:Q]

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College Mathematics for Business Economics Life Sciences and Social Sciences

ISBN: 978-0321614001

12th edition

Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen

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(2) Consider the polynomial f(x) = x 5 Q and let E = Q(i,...

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College Mathematics for Business Economics Life Sciences and Social Sciences

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