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  2. IA Groups - Example Sheet 3 Michaelmas 2021 rdc26@cam.ac.uk ...

    https://www.dpmms.cam.ac.uk/study/IA/Groups/2021-2022/gps321.pdf
    8 Nov 2021: a) Let H 6 Cn. Identify the quotient Cn/H. (b) Show that N = {e, (12)(34), (13)(24), (14)(23)} is a normal subgroup of S4.
  3. Diffeomorphisms of discs

    https://www.dpmms.cam.ac.uk/~or257/slides/Copenhagen2020.pdf
    8 Sep 2020: 54. 56. 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 ... 44. 46. 48. 50. 52. 54. 56. 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52
  4. Lent Term 2024 O. Randal-Williams IB Groups, Rings, and ...

    https://www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/2023-2024/Sheet3.pdf
    15 Jan 2024: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4.
  5. Elliptic Curves and Modularity Jack A. Thorne Abstract We ...

    https://www.dpmms.cam.ac.uk/~jat58/EMS.pdf
    29 Sep 2023: 24, 14].). Our first goal in this article is to state the a version of this modularity conjecture forelliptic curves over a general number field K in as down to earth ... 24] F. Grunewald, H. Helling, J. Mennicke, SL2 over complex quadratic number fields.
  6. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=49
    5 Jul 2024: A Keating. – Selecta Mathematica. (2017). 24,. 1411. (doi: 10.1007/s00029-017-0334-6). MRI turbulence and thermal instability in accretion discs. ... 2017). 24,. ARTN P2.16. (doi: 10.37236/5771). Discussion of "The ASA’s p-value statement, one year on
  7. Mich. 2018 GRAPH THEORY—EXAMPLES 3 PAR 1(a) For which ...

    https://www.dpmms.cam.ac.uk/study/II/Graphs/2018-2019/18sheet3.pdf
    5 Nov 2018: 1) = 1. There must be a 24-path from x2 to x4 or we can make some colour swap and colour v. ... 1) = 1. There must be a 23-path from x2 to x3 and a 24-path from x2 to x4 or we can make some colour swap and.
  8. Mich. 2023 SJW Representation Theory — Examples Sheet 2 ...

    https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2023-2024/2023ex2.pdf
    25 Oct 2023: g]| 1 21 42 56 24 24α 14 2 0 1 0 0β 15 1 1 0 1 1γ 16 0 0 2 2 2.
  9. Example sheet 3, Galois Theory (Michaelmas 2005)…

    https://www.dpmms.cam.ac.uk/study/II/Galois/ex3.pdf
    12 Nov 2005: Find a monic polynomial over Z of degree 4 whoseGalois group is V = {e, (12)(34), (13)(24), (14)(23)}.(ii) Let f Z[X] be monic and separable of degree
  10. Pattern Matching and Lossy Data Compression on Random Fields ...

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/RFS2.pdf
    5 Jun 2020: This. 2. result generalizes the corresponding bound of Steinberg and Gutman [24] for one-dimensionalsources. ... 24] Y. Steinberg and M. Gutman. An algorithm for source coding subject to a fidelity criterion,based upon string matching.
  11. Lossless Compression with Moderate Error Probability

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/MDP.pdf
    5 Jun 2020: Previous work along theselines has been described in [24]–[29]. These studies reportthat error probability vanishes sub-exponentially fast, and theycharacterize the rate of this decay. ... 24] J. Chen, D.-k. He, A. Jagmohan and L. A. Lastras-Montaño,

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