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Michaelmas Term 2009 J. Saxl IA Groups: Example Sheet ...
https://www.dpmms.cam.ac.uk/study/IA/Groups/2009-2010/gps209.pdf28 Oct 2009: Find all the subgroups of the cyclic group Cn. 7. Show that the symmetric group S4 has a subgroup of order d for each divisor d of 24, and find -
Numbers and Sets (2009–10) Example Sheet 1 of 4 ...
https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2009-2010/examples-NS-09-1.pdf10 Oct 2009: Does 3528x 966y = 24 have an integersolution? 8. Find the convergents to the fraction 5744. -
Lent Term 2009 J. Saxl IB Groups, Rings and ...
https://www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/2008-2009/ex093.pdf19 Feb 2009: Determine which of the following polynomials are irreducible in Q[X]:. X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4. -
PART II REPRESENTATION THEORYSHEET 2 Unless otherwise stated, all ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2009-2010/repex2.pdf8 Oct 2009: 1 21 42 56 24 24α 14 2 0 1 0 0β 15 1 1 0 1 1γ 16 0 0 2 2 2.
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