Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4653473 | European Journal of Combinatorics | 2014 | 10 Pages |
Abstract
We prove that every abelian permutation group, but known exceptions, is the symmetry group of a boolean function. This solves the problem posed in the book by Clote and Kranakis. In fact, our result is proved for a larger class of permutation groups, namely, for all subgroups of direct sums of regular permutation groups.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Mariusz Grech, Andrzej Kisielewicz,