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  3. Explicit Brauer Induction
  • Cited by 12
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    • Publisher:
      Cambridge University Press
      Publication date:
      12 January 2010
      27 October 1994
      ISBN:
      9780511600746
      9780521460156
      9780521172738
      DOI:
      https://doi.org/10.1017/CBO9780511600746
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.73kg, 424 Pages
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.62kg, 422 Pages
      • Subjects:
      Mathematics (general), Mathematics, Geometry and Topology, Algebra
      Series:
      Cambridge Studies in Advanced Mathematics (40)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Geometry and Topology, Algebra
    Series:
    Cambridge Studies in Advanced Mathematics (40)
    Information

    Book description

    Explicit Brauer Induction is an important technique in algebra, discovered by the author in 1986. It solves an old problem, giving a canonical formula for Brauer's induction theorem. In this 1994 book it is derived algebraically, following a method of R. Boltje - thereby making the technique, previously topological, accessible to algebraists. Once developed, the technique is used, by way of illustration, to re-prove some important known results in new ways and to settle some outstanding problems. As with Brauer's original result, the canonical formula can be expected to have numerous applications and this book is designed to introduce research algebraists to its possibilities. For example, the technique gives an improved construction of the Oliver–Taylor group-ring logarithm, which enables the author to study more effectively algebraic and number-theoretic questions connected with class-groups of rings.

    Reviews

    Review of the hardback:‘… a good introduction to explicit Brauer induction and its arithmetic applications … it will be a valuable addition to the library of anyone working on these topics.’

    M.E. Keating Source: Mathematical Reviews

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