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The Fourth Janko Group$
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Alexander A. Ivanov

Print publication date: 2004

Print ISBN-13: 9780198527596

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198527596.001.0001

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173,067,389-VERTEX GRAPH Δ

173,067,389-VERTEX GRAPH Δ

Chapter:
(p.147) 8 173,067,389-VERTEX GRAPH Δ
Source:
The Fourth Janko Group
Author(s):

A. A. Ivanov

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198527596.003.0008

This chapter studies the graph Δ on the set of elements of type m DG (with stabilizers 211 : M24) in which two vertices are adjacent whenever in D(G) they are incident to a common element of type 2 (whose stabilizer is the pentad group 23+12 · (L3(2) · Sym5)). The ultimate goal in this chapter is to show that the number of vertices in Δ is as given in the title of the chapter.

Keywords:   graph, earthing, vertex, involution centarlizer

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