The following Theorem is proved. If I is a finite inversive plane of odd order n and G is an automorphism group of I acting primitively on its points, then I is miquelian; furthermore, we have PSL(2,n^2) <= G <= PGammaL(2,n^2) and G is 2-transitive on the points of I unless n=3 and A_5 <= G <= A_5 * C_2
Point-primitive inversive planes of odd order / Bonisoli, Arrigo. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - STAMPA. - 25:(1993), pp. 377-384.
Point-primitive inversive planes of odd order
BONISOLI, Arrigo
1993
Abstract
The following Theorem is proved. If I is a finite inversive plane of odd order n and G is an automorphism group of I acting primitively on its points, then I is miquelian; furthermore, we have PSL(2,n^2) <= G <= PGammaL(2,n^2) and G is 2-transitive on the points of I unless n=3 and A_5 <= G <= A_5 * C_2
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