SEMINAR: Groups and Combinatorics Seminar: Normal and non-normal Cayley graphs of non-prime power order
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Groups and Combinatorics Seminar: Normal and non-normal Cayley graphs of non-prime power order |
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Time and place: 16:00 Friday 25 November in LT G16, Robert Street Building
Speaker: Yian Xu (UWA)
Title: Normal and non-normal Cayley graphs of non-prime power order
Abstract: Let Q be a known generalised quadrangle of order (q - 1, q + 1),
where q is a prime power p^k with p eq 5. The point graph of Q has
order q^3 and is called a BG-graph. In Bamberg and Giudici (2011), the
authors proved that a BG-graph is a normal and non-normal Cayley graph
for two isomorphic groups. In this paper, we show that the Cayley
graphs obtained from a finite number of BG-graphs by Cartesian
product, direct product, and strong product respectively also possess
this property. In particular, we construct normal and non-normal
Cayley graphs of non-prime power order.
Contact |
Stephen Glasby
<[email protected]>
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Start |
Fri, 25 Nov 2016 16:00
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End |
Fri, 25 Nov 2016 17:00
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Submitted by |
Stephen Glasby <[email protected]>
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Last Updated |
Mon, 05 Dec 2016 09:33
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