Article contents
Structure of the
$Fi_{24}^{\prime }$ maximal
$2$-local geometry point-line collinearity graph
Published online by Cambridge University Press: 01 March 2016
Abstract
The point-line collinearity graph ${\mathcal{G}}$ of the maximal 2-local geometry for the largest simple Fischer group,
$Fi_{24}^{\prime }$, is extensively analysed. For an arbitrary vertex
$a$ of
${\mathcal{G}}$, the
$i\text{th}$-disc of
$a$ is described in detail. As a consequence, it follows that
${\mathcal{G}}$ has diameter
$5$. The collapsed adjacency matrix of
${\mathcal{G}}$ is given as well as accompanying computer files which contain a wealth of data about
${\mathcal{G}}$.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © The Author(s) 2016
References
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