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JOURNAL OF
ALGEBRAIC
COMBINATORICS
  Editors-in-chief: C. A. Athanasiadis, T. Lam, A. Munemasa, H. Van Maldeghem
ISSN 0925-9899 (print) • ISSN 1572-9192 (electronic)
 

Schemes and the IP-graph

Rachel Camina
Fitzwilliam College Cambridge CB3 0DG UK

DOI: 10.1007/s10801-007-0102-3

Abstract

We consider the common-divisor graph of the set of valencies of a naturally valenced scheme, where scheme is defined in the sense of P.-H. Zieschang. We prove structural results about this graph, and thus give restrictions on the set of natural numbers that can occur as the set of valencies of a naturally valenced scheme.

Pages: 271–279

Keywords: keywords naturally valenced schemes; IP graph; kernel; common-divisor graph

Full Text: PDF

References

1. Bertram, E.A., Herzog, M., Mann, A.: On a graph related to conjugacy classes of groups. Bull. Lond.



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