Author Archives: Peter Cameron

About Peter Cameron

I count all the things that need to be counted.

COP26

If I could send a message to the world leaders who will soon assemble in Glasgow, it would be, in the words of a St Andrews honorary graduate: What’ll you do now, my blue-eyed son?What’ll you do now, my darling … Continue reading

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Joachim Neubüser

Another sad loss, with the death of Joachim Neubüser this week. He was the driving force behind the creation of the computer algebra system GAP. Even though I worked with John Cannon, the creator of the rival system Magma, I … Continue reading

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Clive Sinclair

Yesterday I read the news that Clive Sinclair has died. This brought back memories of my first encounter with personal computers nearly 40 years ago. At the time I had a demanding job and three small children, and I was … Continue reading

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Graphs on groups, 8

The dark clouds seem to have lifted a bit. Perhaps now, that the last rush of conferences for a while is over, life can return to something like normality … For me the most significant event was the last in … Continue reading

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A small problem

In connection with the research discussion about graphs and groups, I began to wonder which finite groups have the property that any two elements of the same order are conjugate. I thought about this, and got a certain distance, and … Continue reading

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Bad times

Apologies for this. If you don’t like reading personal news, especially bad news, don’t persist. I am writing it down in the hope of putting it behind me. Back in early April, Rosemary had a very bad fall on the … Continue reading

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A little problem

In connection with the power graphs of unitary groups, I came across the following little number-theoretic conundrum. Can anyone solve it? Let q be an odd power of 2 (bigger than 2). Show that (q2−q+1)/3 is not a prime power … Continue reading

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A new constant?

This is an appeal for help. Has anyone come across the constant 2.648102…? Here is the background, which connects with my previous posts about graphs on groups. We are interested in the clique number of the power graph of the … Continue reading

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Graphs on groups, 7

Nothing much to report, just a few connections. My long paper has appeared on-line ahead of publication in the International Journal of Group Theory. You can get a copy here (click on PDF). Next week, on Wednesday 12 May at … Continue reading

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Graphs on groups, 6

The Groups and Graphs seminar has been running well. I find that I feel close to many people in the seminar even though most likely we have not met face to face. So I feel concerned about the Covid wave … Continue reading

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