Emma K. A. Smith
Research Subjects
Emma K. A. Smith has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Luke D.J. Stewart
Department of Mathematics Royal Holloway University of London TW20 0EZ Egham Surrey U.K
1 shared publication - Simon R. Blackburn
Dept. of Mathematics, Royal Holloway, University of London, Egham, Surrey, United Kingdom
1 shared publication
Latest Publications
- Open Access
- 2 February 2026
- Published by California Digital Library (CDL) in Combinatorial Theory
- Vol. 5 (4)
Subsets of free groups with distinct differences
Let F n be a free group of rank n, with free generating set X. A subset D of F n is a Distinct Difference Configuration if the differences g-1 h are distinct, where g and h range over all (ordered) pairs of distinct elements of D. The subset D has diameter at most d if these differences all have word length at most d. When n is fixed and d is large, the paper shows that the largest distinct difference configuration in F n of diameter at most d has size approximately (2n-1) d/3 .
- 2 February 2026
- Published by California Digital Library (CDL) in Combinatorial Theory
- Vol. 5 (4)
Open AccessSubsets of free groups with distinct differences
Let F n be a free group of rank n, with free generating set X. A subset D of F n is a Distinct Difference Configuration if the differences g-1 h are distinct, where g and h range over all (ordered) pairs of distinct elements of D. The subset D has diameter at most d if these differences all have word length at most d. When n is fixed and d is large, the paper shows that the largest distinct difference configuration in F n of diameter at most d has size approximately (2n-1) d/3 .