Lenz-Barlotti I.4 perspectivity groups are abelian

Liebler, Robert; Scott-Janda, Elizabeth

doi:10.1090/S0002-9939-09-10051-5

Lenz-Barlotti I.4 perspectivity groups are abelian
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by Robert A. Liebler and Elizabeth Scott-Janda PDF

Proc. Amer. Math. Soc. 138 (2010), 1447-1451 Request permission

Abstract:

We extend a 1972 result of Kantor and Pankin and give a new elementary proof of the assertion in the title for projective planes of arbitrary order. The main tool appears in the very first book on group theory by Jordan in 1870.

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