It takes a lot of people to make a winning team. Everybody's contribution is important.

# Robert Heffernan Profile

### Personal Details

**Position:**Lecturer.**Research:**My research interests are (mostly) in group theory.

### Contact Details

**Departmental address:**Department of Mathematics, Cork Institute of Technology, Bishopstown, Cork, Ireland.**Office:**C224**Phone:**021 433 6186**Email:**robert dot heffernan at cit dot ie

### Research

My research interests are primarily in the area of group theory. Initially, my work was in finite group theory (commuting probability, p-groups and their automorphisms, some character theory) but, more recently, I have developed an interest in geometric group theory.

### Publications

- R. Heffernan, D. MacHale, A. Ni She:
*Central factor groups and commutativity*submitted to Mathematical Proceedings of the Royal Irish Academy (to appear) - R. Heffernan, D. MacHale, B. McCann:
*Cayley's theorem revisited: Embeddings of small finite groups*submitted to Mathematics Magazine, (to appear). - R. Heffernan, D. MacHale, A. Ni She:
*Restrictions on commutativity ratios in finite groups*in the International Journal of Group Theory, 3 (4), 1--12 (2014). - J. Curran, R. Heffernan and D. MacHale:
*On the Order of the Automorphism Group of a Finite Group*in Communications in Algebra, 39 (10), 3616-3624, (2011). - E. C. Freuder, R. Heffernan, R. J. Wallace and N. Wilson:
*Lexicographically-ordered Constraint Satisfaction Problems*in Constraints, 15 (1), 1383-7133 (2010). - R. Heffernan and D. MacHale:
*On the sum of the character degrees of a finite group*in Mathematical Proceedings of the Royal Irish Academy, 108A (1), 57-63 (2008). - E. C. Freuder, R. Heffernan and R. J. Wallace:
*Ordinal constraint satisfaction*in The Proceedings of 5th International Workshop on Soft Constraints, 2003.