Author:
Berger Marc A.,Felzenbaum Alexander,Fraenkel Aviezri
Abstract
AbstractThe purpose of this note is to prove the Herzog-Schônheim [3] conjecture for finite nilpotent groups. This conjecture states that any nontrivial partition of a group into cosets must contain two cosets of the same index (Corollary IV below). See Porubský [4, Section 8] for a perspective on coset partitions.
Publisher
Canadian Mathematical Society
Cited by
11 articles.
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