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.References
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Additional Information
- Robert A. Liebler
- Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523
- Elizabeth Scott-Janda
- Affiliation: Department of Mathematics, Armstrong Atlantic State University, Savannah, Georgia 31419
- Address at time of publication: 3063 West Chapman Avenue, Orange, California 92868
- Received by editor(s): July 30, 2008
- Received by editor(s) in revised form: April 28, 2009
- Published electronically: December 10, 2009
- Communicated by: Jonathan I. Hall
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 1447-1451
- MSC (2000): Primary 51-00, 05-00
- DOI: https://doi.org/10.1090/S0002-9939-09-10051-5
- MathSciNet review: 2578538