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The Components of Lβ/Qβ

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Symplectic Amalgams

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

In this chapter, moving further up the subgroup structure of L β/Q β we analyse the p-layer of L β. Setting \( \overline {G_\beta } = G_\beta /Q_\beta \), we recall that the p-components and the p-layer of L β (called p′-components and p′-layer in [63]) are defined as follows: \( Comp_p (L_\beta ) = \{ X|Q_\beta \leqslant X\underline \triangleleft \underline \triangleleft L_\beta and\overline X is a component of \overline {L_\beta } \} \) and \( E_p (L_\beta ) = \langle Comp_p (L_\beta )\rangle \)

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© 2002 Springer-Verlag London

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Parker, C., Rowley, P. (2002). The Components of Lβ/Qβ. In: Symplectic Amalgams. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-1-4471-0165-9_9

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  • DOI: https://doi.org/10.1007/978-1-4471-0165-9_9

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1088-0

  • Online ISBN: 978-1-4471-0165-9

  • eBook Packages: Springer Book Archive

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