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\iteman{io-port 05778565}
\itemau{Eick, Bettina; Rossmann, Tobias}
\itemti{Periodicities for graphs of $p$-groups beyond coclass.}
\itemso{Kappe, Luise-Charlotte (ed.) et al., Computational group theory and the theory of groups. II. Papers of the conference on computational group theory and cohomology, Harlaxton College, Grantham, UK, August 4--8, 2008 and the AMS special session on computational group theory, Western Michigan University, Kalamazoo, MI, USA, October 17--19, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4805-0/pbk). Contemporary Mathematics 511, 11-23 (2010).}
\itemab
Authors' summary: We use computational methods to investigate periodic patterns in the graphs $\Cal G(p,(d,w,o))$ associated with the $p$-groups of rank $d$, width $w$ and obliquity $o$. In the smallest interesting case $\Cal G(p,(3,2,0))$ we obtain a conjectural description of the graph for all odd primes $p$; in particular, we conjecture that this graph is virtually periodic for all such $p$. We also investigate other related infinite graphs.
\itemrv{Yakov Berkovich (Afula)}
\itemcc{}
\itemut{finite $p$-groups; ranks; widths; obliquities; periodicities; coclasses; graphs of $p$-groups}
\itemli{}
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