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Involutions of Connected Binary Matroids

Published online by Cambridge University Press:  03 November 2000

JOSEPH E. BONIN
JOSEPH E. BONIN
Affiliation:
Department of Mathematics, The George Washington University, Washington, DC 20052, USA (e-mail: jbonin@gwis2.circ.gwu.edu)
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Abstract

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We prove that if an involution ϕ is an automorphism of a connected binary matroid M then there is a hyperplane of M that is invariant under ϕ. We also consider extensions of this result for higher connectivity.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 9 , Issue 4 , July 2000 , pp. 305 - 308
Copyright
2000 Cambridge University Press