Topologies on finite groups
- 17 April 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 1 (3) , 315-317
- https://doi.org/10.1017/s0004972700042180
Abstract
It has been shown by D. Stephen that the number N of open sets in a non-discrete topology on a finite set with n elements is not greater than 3 × 2n-2.We show that for admissable topologies on a finite group N ≦ 2n/r, where r is the least order of its non-trivial normal subgroups. This is clearly a sharper bound.Keywords
This publication has 1 reference indexed in Scilit:
- Topology on Finite SetsThe American Mathematical Monthly, 1968