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On Fusion Systems of Component Type

Michael Aschbacher
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      This memoir begins a program to classify a large subclass of the class of simple saturated 2-fusion systems of component type. Such a classification would be of great interest in its own right, but in addition it should lead to a significant simplification of the proof of the theorem classifying the finite simple groups.Why should such a simplification be possible? Part of the answer lies in the fact that there are advantages to be gained by working with fusion systems rather than groups. In particular one can hope to avoid a proof of the B-Conjecture, a important but difficult result in finite group theory, established only with great effort.
      Format: Paperback / softback CONTRIBUTORS: Michael Aschbacher EAN: 9781470435202 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2018-12-30 CITY: GENRE: MATHEMATICS / Algebra / General, MATHEMATICS / Geometry / Algebraic WIDTH: 178 cm SPINE:

      Book Themes:

      Algebra, Algebraic geometry

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      Michael Aschbacher, California Institute of Technology, Pasadena, California.
      This memoir begins a program to classify a large subclass of the class of simple saturated 2-fusion systems of component type. Such a classification would be of great interest in its own right, but in addition it should lead to a significant simplification of the proof of the theorem classifying the finite simple groups.Why should such a simplification be possible? Part of the answer lies in the fact that there are advantages to be gained by working with fusion systems rather than groups. In particular one can hope to avoid a proof of the B-Conjecture, a important but difficult result in finite group theory, established only with great effort.
      Format: Paperback / softback CONTRIBUTORS: Michael Aschbacher EAN: 9781470435202 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2018-12-30 CITY: GENRE: MATHEMATICS / Algebra / General, MATHEMATICS / Geometry / Algebraic WIDTH: 178 cm SPINE:

      Book Themes:

      Algebra, Algebraic geometry

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      Michael Aschbacher, California Institute of Technology, Pasadena, California.

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