On Amalgamation of Rank 1 parabolic Groups

F. G. Timmesfeld
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F. G. Timmesfeld: Liebig-Universität, Math. Institut der Justus

A chapter in Geometries and Groups, 1988, pp 5-70 from Springer

Abstract: Abstract Abusing the notation of parabolic subgroups, we call a finite group P a rank n parabolic group of char.p, if and only if $$\bar{P} = {{0}^{{p'}}}\left( {{{P} \left/ {{{{O}_{p}}}} \right.}\left( P \right)} \right) $$ is a perfect central extension of a finite simple rank n Lie-type group in char.p or one of the following exceptions: $$\begin{array}{*{20}{c}} {PS{{L}_{2}} \left( 3 \right){{ }^{2}}{{G}_{2}}\left( 3 \right) if n = 1, p = 3} \hfill \\ {PS{{L}_{2}}\left( 2 \right), PS{{U}_{3}}\left( 2 \right) and Sz\left( 2 \right) \simeq {{F}_{{20}}} if n = 1 and p = 2} \hfill \\ \end{array} $$

Keywords: Parabolic Subgroup; Natural Module; Dual Module; Borel Subgroup; Critical Pair (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-94-009-4017-8_1

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