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This article is available for purchase or by subscription. See below.
Abstract
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The automorphism group
of a compact topological projective plane with an
-dimensional
point space is a locally compact group. If the dimension of
is at
least
,
then
is known to be a Lie group. For the connected
component
of
it is
shown that
suffices, if
is semisimple or does not fix exactly a nonincident point-line pair or a double-flag.
is also a Lie group,
if
has a compact
connected
-dimensional
normal subgroup and
.
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Keywords
topological plane, Lie group
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Mathematical Subject Classification 2010
Primary: 22D05, 51H10
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Milestones
Received: 18 November 2018
Revised: 19 March 2019
Accepted: 27 April 2019
Published: 9 October 2019
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