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Michaelmas Term 2011 J. Saxl IA Groups: Example Sheet ...
https://www.dpmms.cam.ac.uk/study/IA/Groups/2011-2012/gps211.pdf28 Oct 2011: 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 (2011–12) Example Sheet 2 of 4 ...
https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2011-2012/examples-NS-11-2.pdf2 Nov 2011: Find u, v Z with 76u 45v = 1. Does 3528x 966y = 24 have an integer solution? -
Lent Term 2011 R. Camina IB Groups, Rings and ...
https://www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/2010-2011/ex11-3.pdf24 Feb 2011: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4. -
PART II CODING AND CRYPTOGRAPHYEXAMPLE SHEET 1 The first ...
https://www.dpmms.cam.ac.uk/study/II/Coding/2011-2012/CC1.pdf21 Nov 2011: 23, M2 hasprobability. 24, M3 has probability. 26 and M4 has probability. -
Example Sheet 4. Galois Theory Michaelmas 2011 Separability 4.1. ...
https://www.dpmms.cam.ac.uk/study/II/Galois/2011-2012/2011_Galois_Ex4.pdf24 Nov 2011: 4.8. (i) What are the transitive subgroups of S4? Find a monic polynomial over Z of degree4 whose Galois group is V4 = {e, (12)(34), (13)(24), (14)(23)}. ... November 24, 2011t.yoshida@dpmms.cam.ac.uk. -
PART II REPRESENTATION THEORYSHEET 2 Unless otherwise stated, all ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2010-2011/repex2.pdf10 Jan 2011: 24 = g5.]. 1. 2 PART II REPRESENTATION THEORY SHEET 2. ... 1 21 42 56 24 24α 14 2 0 1 0 0β 15 1 1 0 1 1γ 16 0 0 2 2 2. -
PART II REPRESENTATION THEORYSHEET 4 Unless otherwise stated, all ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2010-2011/repex4.pdf10 Jan 2011: 8 Suppose we are given that H is a subgroup of order 24 in G. -
Representation Theory Lectured by S. Martin Lent Term 2009, ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2010-2011/Representation_Theory.pdf12 Jul 2011: Examples Sheets. REPRESENTATION THEORY (D) 24 lectures, Lent term. Linear Algebra, and Groups, Rings and Modules are essential. ... χ5 d x y z w. Know: 24 = 1 1 9 9 d2 d = 2. -
STATISTICAL MODELLING Part IIC. Example Sheet 4 (of 4) ...
https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2010-2011/ex4.pdf1 Mar 2011: 35 30High Yes 9 12 19 19High No 24 25 28 29. -
pract2b.dvi
https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2010-2011/pract2b.pdf11 Feb 2011: i = 4, i! = 24. i = 5, i! = 120.
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