Publication details
On the size of coset unions
- authored by
- Benjamin Sambale, Marius Tǎrnǎuceanu
- Abstract
Let g1H1, … , gnHn be cosets of subgroups H1, … , Hn of a finite group G such that g1H1∪ … ∪ gnHn≠ G. We prove that | g1H1∪ … ∪ gnHn| ≤ γn| G| where γn< 1 is a constant depending only on n. In special cases, we show that γn= (2 n- 1) / 2 n is the best possible constant with this property and we conjecture that this is generally true.
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- External Organisation(s)
-
Al. I. Cuza University
- Type
- Article
- Journal
- Journal of algebraic combinatorics
- Volume
- 55
- Pages
- 979-987
- No. of pages
- 9
- ISSN
- 0925-9899
- Publication date
- 05.2022
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory, Discrete Mathematics and Combinatorics
- Electronic version(s)
-
https://doi.org/10.1007/s10801-021-01079-x (Access:
Open)