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  2. Mich. 2021 SJW Representation Theory — Examples Sheet 2 ...

    https://www.dpmms.cam.ac.uk/~sjw47/2021ex2.pdf
    26 Oct 2021: 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.
  3. Tautological rings for smooth manifolds

    https://www.dpmms.cam.ac.uk/~or257/slides/Delhi2021.pdf
    30 Nov 2021: 31. R(Σ6) = Q[κ1,κ2]/(127κ31 2304κ1κ2, 113κ41 36864κ22)with κ3 = 52304κ. 31,κ4 =. 573728κ. 41. (and has computed R(Σg) for g < 24).9. Higher dimensions. ... Selecta Math. (N.S.) 24 (2018), no. 4, 3835–3873. D. Baraglia, Tautological
  4. Shame.dvi

    https://www.dpmms.cam.ac.uk/~twk/Shame.pdf
    8 Aug 2021: Page 24 third line. Replace ‘Exercise 2.1.4 (ii)’ by ‘Exercise 2.1.4 (iii)’. ... Page 24 Exercise 2.1.9, first displayed equation should readλa (1 λ)b = λ′a′ (1 λ′)b′.
  5. Profinite Groups, Exercise Sheet 2 Lent 2021 [Key questions ...

    https://www.dpmms.cam.ac.uk/~grw46/ProfinitGroups_Exs2.pdf
    19 Jan 2021: 24, x. 14 x1x4 = x. 21. 〉has no finite quotients other than the trivial group.
  6. 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.
  7. Example sheet 3, Galois Theory, 2021 1. Let M/K ...

    https://www.dpmms.cam.ac.uk/study/II/Galois/2021-2022/ex3_2021.pdf
    15 Oct 2021: Find a monic polynomial over Z of degree 4 whoseGalois group is V = {e, (12)(34), (13)(24), (14)(23)}.
  8. Mich. 2021 SJW Representation Theory — Examples Sheet 2 ...

    https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2021-2022/2021ex2.pdf
    26 Oct 2021: 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. E-algebras and general linear groups

    https://www.dpmms.cam.ac.uk/~or257/slides/Regensburg2020.pdf
    13 Apr 2021: E-cells and general linear groups of finite fields.arXiv:1810.11931. 24. The Steinberg module.
  10. Part III Algebraic Geometry Example Sheet III, 2021. Note: ...

    https://www.dpmms.cam.ac.uk/study/III/Algebraic%20Geometry/2021-2022/HW3.pdf
    16 Nov 2021: You mayleave your solutions with my pigeon in the CMS by any time on November 24 2021.
  11. Top.dvi

    https://www.dpmms.cam.ac.uk/~twk/Top.pdf
    6 Dec 2021: x]U. [x] τ. Later we shall give an example (Exercise 10.7) of a nice quotient topology.Exercise 15.24, which requires ideas from later in the course, is an ... See page 77. 24. This result has many delightful consequences. Recall, for example, thatthe

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