### Top Posts

### Recent comments

- Peter Cameron on Notes on Counting
- Adam Malinowski on Notes on Counting
- Shahrooz Janbaz on Notes on Counting
- sris on Notes on Counting
- Peter Cameron on London Combinatorics Colloquia 2017

### Blogroll

- Alexander Konovalov
- Annoying precision
- Astronomy Picture of the Day
- Azimuth
- Bad science
- Bob Walters
- British Combinatorial Committee
- CIRCA tweets digest
- CoDiMa
- Coffee, love, and matrix algebra
- Computational semigroup theory
- DC's Improbable Science
- Diamond Geezer
- Exploring East London
- From hill to sea
- Gödel's lost letter and P=NP
- Gil Kalai
- Haris Aziz
- Intersections
- Jane's London
- Jon Awbrey
- LMS blogs page
- Log24
- London Algebra Colloquium
- London Reconnections
- Marie Cameron's blog
- MathBlogging
- Micromath
- Neill Cameron
- neverendingbooks
- Noncommutative geometry
- numericana hall of fame
- Paul Goldberg
- Robert A. Wilson's blog
- Sheila's blog
- Since it is not …
- Spitalfields life
- St Albans midweek lunch
- Stubborn mule
- Sylvy's mathsy blog
- SymOmega
- Tangential thoughts
- Terry Tao
- The Aperiodical
- The De Morgan Journal
- The ICA
- The London column
- The Lumber Room
- The matroid union
- Theorem of the day
- Tim Gowers
- Vynmath
- XKCD

### Find me on the web

### Cameron Counts: RSS feeds

### Meta

# Category Archives: doing mathematics

## Mathematical diversity

Don’t worry, this post is not about factors irrelevant to mathematics such as gender, ethnicity and sexual orientation. Nor is it about important factors, highlighted in the 2011 International Review of UK Mathematics although largely ignored by the research council … Continue reading

## Automorphism groups of transformation semigroups

I have been in the transformation semigroups game for nearly ten years now, but I still feel that I am finding my feet. Here is apparently a huge difference between permutation groups and transformation semigroups, one which is still not … Continue reading

Posted in doing mathematics, open problems, Uncategorized
Tagged automorphism, primitive groups, synchronization
Leave a comment

## Prospects in Mathematics, 2

I didn’t say anything about my own talk at the Prospects in Mathematics meeting. But soon afterwards I was re-reading Lee Smolin’s 2006 book The Trouble with Physics, and it resonated with some of the things I said. My topic … Continue reading

Posted in doing mathematics, events
Tagged CFSG, Classification of Finite Simple Groups, Lee Smolin, string theory
7 Comments

## Perth, week 1

The first week of the visit is over. The weather has been quite cold, but it is likely to improve as time goes on. The best day so far was yesterday, when we went to Yanchep National Park and had … Continue reading

Posted in doing mathematics, exposition
Tagged derangements, H. Zantema, Jordan's theorem
Leave a comment

## More groups

The title reminds me of the occasion when my academic grandfather lectured to the London Mathematical Society on “Moore graphs”. Unfortunately, someone got it wrong, and his lecture was billed as “More graphs”. But here I really do mean what … Continue reading

## 12160

12160 is an interesting number; but I didn’t know that until last night. As part of the work on semigroups, we are looking at the following problem. Given n and k, with n ≥ 2k, suppose that G is a k-homogeneous subgroup … Continue reading

Posted in doing mathematics, exposition
Tagged 4-homogeneous, permutation groups, semigroups
3 Comments

## An Aveiro theorem

When I was a child, one of the radio serials we listened to was The Lone Ranger. Typically, when the Lone Ranger with his sidekick Tonto had cleared up another mess of wrongdoing or whatever, he would say to Tonto, … Continue reading