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math.GR2022
Dead ends and rationality of complete growth series
Pierre Alderic Bagnoud, Corentin Bodart
The complete growth series of a finitely generated group is given by , where is the sum of elements of length in the group semiring. We study the $\…
math.GR2022★ 1 cited
Rational cross-sections, bounded generation and orders on groups
Corentin Bodart
We provide new examples of groups without rational cross-sections (also called regular normal forms), using connections with bounded generation and rational orders on groups. Speci…