Description

Book Synopsis
Provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program.

Table of Contents
  • Background and overview: Introduction
  • The major theorems and some background
  • Basics and examples:
  • Some basic results
  • Results on $\tau$
  • $W(\tau)$ and $M(\tau)$
  • Some examples
  • Theorems 2 through 5: Theorems 2 and 4
  • Theorems 3 and 5
  • Coconnectedness: $\tau^{\circ}$ not coconnected
  • Theorem 6: $\Omega =\Omega(z)$ of order 2
  • $\vert\Omega(z)\vert>2$
  • Some results on generation
  • $\vert\Omega(z)\vert=2$ and the proof of Theorem 6
  • Theorems 7 and 8: $\vert\Omega(z)\vert=1$ and $\mu$ abelian
  • More generation
  • $\vert\Omega(z)\vert=1$ and $\mu$ nonabelian
  • Theorem 1 and the Main Theorem: Proofs of four theorems
  • References and Index: Bibliography
  • Index.

Quaternion Fusion Packets

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    RRP £107.00 – you save £10.70 (10%)

    Order before 4pm tomorrow for delivery by Mon 22 Jun 2026.

    A Paperback by Michael Aschbacher

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      View other formats and editions of Quaternion Fusion Packets by Michael Aschbacher

      Publisher: MP-AMM American Mathematical
      Publication Date: 5/30/2021 12:00:00 AM
      ISBN13: 9781470456658, 978-1470456658
      ISBN10: 1470456656

      Description

      Book Synopsis
      Provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program.

      Table of Contents
      • Background and overview: Introduction
      • The major theorems and some background
      • Basics and examples:
      • Some basic results
      • Results on $\tau$
      • $W(\tau)$ and $M(\tau)$
      • Some examples
      • Theorems 2 through 5: Theorems 2 and 4
      • Theorems 3 and 5
      • Coconnectedness: $\tau^{\circ}$ not coconnected
      • Theorem 6: $\Omega =\Omega(z)$ of order 2
      • $\vert\Omega(z)\vert>2$
      • Some results on generation
      • $\vert\Omega(z)\vert=2$ and the proof of Theorem 6
      • Theorems 7 and 8: $\vert\Omega(z)\vert=1$ and $\mu$ abelian
      • More generation
      • $\vert\Omega(z)\vert=1$ and $\mu$ nonabelian
      • Theorem 1 and the Main Theorem: Proofs of four theorems
      • References and Index: Bibliography
      • Index.

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