Groups with locally modular homogeneous pregeometries are commutative
Copyright policy )Groups with locally modular homogeneous pregeometries are commutative
It is well known that strongly minimal groups are commutative. Whether this is true for various generalisations of strong minimality has been asked in several different settings. In this note we show that the answer is positive for groups with locally modular homogeneous pregeometries.
- University of Waterloo Canada
General structure theorems for groups, FOS: Mathematics, Model-theoretic algebra, Mathematics - Combinatorics, Mathematics - Logic, Combinatorics (math.CO), Group Theory (math.GR), Classification theory, stability, and related concepts in model theory, Combinatorial aspects of matroids and geometric lattices, Logic (math.LO), Mathematics - Group Theory
General structure theorems for groups, FOS: Mathematics, Model-theoretic algebra, Mathematics - Combinatorics, Mathematics - Logic, Combinatorics (math.CO), Group Theory (math.GR), Classification theory, stability, and related concepts in model theory, Combinatorial aspects of matroids and geometric lattices, Logic (math.LO), Mathematics - Group Theory
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