Treffer: Rationality of the multivariate growth series for algebraic sets of virtually abelian groups

Title:
Rationality of the multivariate growth series for algebraic sets of virtually abelian groups
Authors:
Yusuke Nakamura
Source:
Journal of Algebraic Combinatorics. 61
Publication Status:
Preprint
Publisher Information:
Springer Science and Business Media LLC, 2025.
Publication Year:
2025
Subject Terms:
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
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1572-9192
0925-9899
DOI:
10.1007/s10801-025-01402-w
DOI:
10.48550/arxiv.2408.10521
Access URL:
http://arxiv.org/abs/2408.10521
Rights:
Springer Nature TDM
CC BY
Accession Number:
edsair.doi.dedup.....1be50fbd8fb3bf20c51776cf59818b60
Database:
OpenAIRE

Weitere Informationen

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