Rationality of the multivariate growth series for algebraic sets of virtually abelian groups
Copyright policy )Rationality of the multivariate growth series for algebraic sets of virtually abelian groups
We prove the rationality of the multivariate relative growth series for algebraic sets of virtually abelian groups, which had been conjectured by Evetts and Levine.
11 pages. To appear in Journal of Algebraic Combinatorics
Primary 20F65, Secondary 05A15, 05E16, virtually abelian group, growth series, Exact enumeration problems, generating functions, FOS: Mathematics, Mathematics - Combinatorics, periodic graph, Group Theory (math.GR), Combinatorics (math.CO), Geometric group theory, equations in groups, Mathematics - Group Theory, Combinatorial aspects of groups and algebras
Primary 20F65, Secondary 05A15, 05E16, virtually abelian group, growth series, Exact enumeration problems, generating functions, FOS: Mathematics, Mathematics - Combinatorics, periodic graph, Group Theory (math.GR), Combinatorics (math.CO), Geometric group theory, equations in groups, Mathematics - Group Theory, Combinatorial aspects of groups and algebras
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