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  2. Michaelmas Term 2010 J. Saxl IA Groups: Example Sheet ...

    https://www.dpmms.cam.ac.uk/study/IA/Groups/2010-2011/gps210.pdf
    29 Oct 2010: 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
  3. Example Sheet 4. Lectures 19–23, Galois Theory Michaelmas 2010 ...

    https://www.dpmms.cam.ac.uk/study/II/Galois/2010-2011/2010_Galois_Ex4.pdf
    24 Nov 2010: 4.10. (i) What are the transitive subgroups of S4? Find a monic polynomial over Z ofdegree 4 whose Galois group is V4 = {e, (12)(34), (13)(24), (14)(23)}. ... optional) November 24, 2010t.yoshida@dpmms.cam.ac.uk.
  4. STATISTICAL MODELLING Part IIC. Example Sheet 4 (of 4) ...

    https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2009-2010/ex4.pdf
    23 Feb 2010: 35 30High Yes 9 12 19 19High No 24 25 28 29.
  5. EXAMPLE SHEET 3 (LECTURES 13–18) GALOIS THEORY MICHAELMAS 2009 ...

    https://www.dpmms.cam.ac.uk/study/II/Galois/2009-2010/ex3.pdf
    28 Mar 2010: i) What are the transitive subgroups of S4? Find a monic polynomial over Z ofdegree 4 whose Galois group is V4 = {e, (12)(34), (13)(24), (14)(23)}.(ii) Let P
  6. Numbers and Sets (2010–11) Example Sheet 2 of 4 ...

    https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2010-2011/examples-NS-10-2.pdf
    21 Oct 2010: Find u, v Z with 76u 45v = 1. Does3528x 966y = 24 have an integer solution?
  7. Lent Term 2010 R. Camina IB Groups, Rings and ...

    https://www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/2009-2010/ex10-3.pdf
    23 Feb 2010: 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.
  8. ANALYSIS II (Michaelmas 2010): EXAMPLES 1 The questions are ...

    https://www.dpmms.cam.ac.uk/study/IB/AnalysisII/2010-2011/anII_ex_2010_1.pdf
    15 Oct 2010: ANALYSIS II (Michaelmas 2010): EXAMPLES 1. The questions are not equally difficult. Those marked with are intended as ‘additional’, to beattempted if you wish to take things further. Comments, corrections are welcome at any timeand may be sent
  9. On ℓ-adic representations attached to non-congruence subgroups II A.…

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/examples.pdf
    29 Jan 2010: 6. 4. Γ5,2. 4.1. Write as usual. P(τ) = 1 24. ... g(τ) =1. 24. (. 35P(35τ) 7P(7τ) 5P(5τ) P(τ)). Then the function.
  10. Hypersurfaces and the Weil conjectures

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/bristol.pdf
    29 Jan 2010: 24 / 25. Conclusions. The proof is complicated but is mostly rather formal. ... 24 / 25. The end. THE END. 25 / 25. Frontmatter.
  11. Remarks on special values of L-functions Anthony J. Scholl* ...

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/remarks.pdf
    29 Jan 2010: in arithmetical algebraic geometry, ed. K. Ribet (ContemporaryMathematics 67 (1987)), 1–24.

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