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A homomorphism theorem for projective planes

Published online by Cambridge University Press:  17 April 2009

Don Row
Don Row
Affiliation:
University of Tasmania, Hobart, Tasmania.
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Abstract

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We prove that a non-degenerate homomorphic image of a projective plane is determined to within isomorphism by the inverse image of any one point. An application gives conditions for the preservation of central collineations by a homomorphism.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 2 , April 1971 , pp. 155 - 158
Copyright
Copyright © Australian Mathematical Society 1971

References

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