On groups whose cogrowth series is the diagonal of a rational series
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Publication:6660946
DOI10.1142/S0218196724500486MaRDI QIDQ6660946
Publication date: 10 January 2025
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Exact enumeration problems, generating functions (05A15) Combinatorics on words (68R15) Geometric group theory (20F65) Extensions of abelian groups (20K35)
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- Groups, the theory of ends, and context-free languages
- The theory of ends, pushdown automata, and second-order logic
- Algebraic power series and diagonals
- Cogrowth and amenability of discrete groups
- Algorithmic problems for free-Abelian times free groups.
- Semigroups, Presburger formulas, and languages
- Rational sets in commutative monoids
- On rationality of the cogrowth series
- Cogrowth of groups and the Dedekind–Frobenius group determinant
- The cogrowth series for BS(N, N) is D-finite
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