Set of involutions arising from an egglike inversive plane |
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| Authors: | Giovanna Bonoli Sveva Freni |
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| Institution: | (1) Dip. di Matematica, Seconda Università degli Studi di Napoli, via Vivaldi 43, 81100 Caserta, Italy;(2) Dip. di Matematica, Seconda Università degli di Napoli, via Vivaldi 43, 81100 Caserta, Italy |
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| Abstract: | To every egglike inversive plane
there is associated a family
of involutions of the point set of
such that
circles of
are the fixed point sets of the involutions in
. Korchmaros and Olanda characterized a family
of involutions on a set of size n2 + 1to be
for
an egglike inversive plane of order n by four conditions. In this
paper, we give an alternative proof where the Galois space PG(3,n) in
which
is embedded is built up directly by using concepts and
results on finite linear spaces. |
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| Keywords: | 05B25 51A45 |
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