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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. 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.
  4. SOME BOUNDS ON THE COEFFICIENTSOF COVERING CURVES T.A. FISHER ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/ncovbds.pdf
    29 Jul 2010: 2. We compute. det(xA1 zA2) = 24(a2x2 b2z2)(b2x2 a2z2)det(xA′1 zA. ′2) = 2. ... 24) = A. 8(λ1λ2)4(µ1µ2µ3µ4). 4. that ||Φ|| Aλ2µ24 A8(λ1λ2)4(µ1µ2µ3µ4)4.(iii) If Aλ2µ.
  5. PII: 0168-0072(88)90018-8

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/smallcomplete88.pdf
    17 Dec 2010: An explicitly categorical formulation of the same idea (based on a model for the L-calculus in place of a more general applicative structure) is in [24]. ... Clearly P is (isomorphic to) the familiar category of partial equivalence relations (see for
  6. 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.
  7. 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.
  8. LOCAL SOLUBILITY AND HEIGHT BOUNDS FOR COVERINGS OF ELLIPTIC ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/htbounds.pdf
    12 Oct 2010: D1 x21 x2x3, x. 24 a double conic [1(111)]. D2 x1x4 x2x3, x24 two double lines [(211)]. ... D5 x23, x. 24 a quadruple line [11]. Proof: The classification (at least over K = C) is due to Segre.
  9. 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.
  10. THE HESSIAN OF A GENUS ONE CURVE TOM FISHER ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/g1hessians.pdf
    25 Nov 2010: In the terminology of [24] we have developed the invariant theorynecessary to compute both first and second twists. ...  =c4 c6c6 c. 24. 1 c4ξ (ξ,η) c6ξ (ξ,η)c4η. (ξ,η) c6η. (
  11. 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

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