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BIEMBEDDINGS OF STEINER TRIPLE SYSTEMS IN ORIENTABLE PSEUDOSURFACES WITH ONE PINCH POINT

Published online by Cambridge University Press:  13 August 2013

A. D. FORBES ,
T. S. GRIGGS ,
C. PSOMAS  and
J. ŠIRÁŇ
A. D. FORBES
Affiliation:
Department of Mathematics and Statistics, The Open University, Walton Hall Milton Keynes MK7 6AA, United Kingdom e-mails: [email protected], [email protected], [email protected], [email protected]
T. S. GRIGGS
Affiliation:
Department of Mathematics and Statistics, The Open University, Walton Hall Milton Keynes MK7 6AA, United Kingdom e-mails: [email protected], [email protected], [email protected], [email protected]
C. PSOMAS
Affiliation:
Department of Mathematics and Statistics, The Open University, Walton Hall Milton Keynes MK7 6AA, United Kingdom e-mails: [email protected], [email protected], [email protected], [email protected]
J. ŠIRÁŇ
Affiliation:
Department of Mathematics and Statistics, The Open University, Walton Hall Milton Keynes MK7 6AA, United Kingdom e-mails: [email protected], [email protected], [email protected], [email protected]
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Abstract

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We prove that for all n ≡ 13 or 37 (mod 72), there exists a biembedding of a pair of Steiner triple systems of order n in an orientable pseudosurface having precisely one regular pinch point of multiplicity 2.

Keywords

05B0705C10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 2 , May 2014 , pp. 251 - 260
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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