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Groups Example Sheet 2Michaelmas 2015 Julia Goedecke Please send ...
https://www.dpmms.cam.ac.uk/study/IA/Groups/2015-2016/GroupsSheet2-2015.pdf21 Oct 2015: 4. (a) Show that the symmetric group S4 has a subgroup of order d for each divisor d of 24,and find two non-isomorphic subgroups of order 4. -
PART II REPRESENTATION THEORYSHEET 2 Unless otherwise stated, all ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2014-2015/repex2.pdf19 Jan 2015: 1 21 42 56 24 24α 14 2 0 1 0 0β 15 1 1 0 1 1γ 16 0 0 2 2 2. ... 24 = g5.]. 11 Let a finite group G act on itself by conjugation. -
CODES AND CRYPTOGRAPHY – Example Sheet 3TKC Lent 2015 ...
https://www.dpmms.cam.ac.uk/study/II/Coding/2014-2015/CC3.pdf25 Feb 2015: Show by direct calculation that K = K{0}is a cyclic group and deduce that K is finite field with 24 elements. -
Lent Term 2015 R. Camina IB Groups, Rings and ...
https://www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/2014-2015/grm20153.pdf26 Feb 2015: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4.
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