Disjoint subsets of cardinality smaller than an infinite group need not be separable, refuting Problem 17.102.
Protasov,Partitions of groups into sparse subsets, Algebra Discrete Math.13(2012), no
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.GR 1years
2026 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Counterexamples to Problem 17.102 of the Kourovka Notebook: Negation and Discussion of Separability Conditions in Infinite Groups
Disjoint subsets of cardinality smaller than an infinite group need not be separable, refuting Problem 17.102.