A virtually 2-step nilpotent group with polynomial geodesic growth
نویسندگان
چکیده
A direct consequence of Gromov's theorem is that if a group has polynomial geodesic growth with respect to some finite generating set then it virtually nilpotent. However, until now the only examples known were abelian. In this note we furnish an example 2-step nilpotent having certain set.
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ژورنال
عنوان ژورنال: Algebra and discrete mathematics
سال: 2022
ISSN: ['1726-3255', '2415-721X']
DOI: https://doi.org/10.12958/adm1667