M. Sautoy

activity

20002022

most citedAnalytic properties of zeta functions and subgroup growth

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2022

Uniformity in Higher class Free Lie algebras

Marcus du Sautoy, Seungjai Lee

Let $f_{c, 2}$ denote a free class- $c$ Lie rings on $2$ generators. We investigate the zeta functions enumerating graded ideals in $f_{c, 2} (F_{p})$ for…

math.GR2011

Non-PORC behaviour of a class of descendant $p$ -groups

Marcus du Sautoy, Michael Vaughan-Lee

We prove that the number of immediate descendants of order $p^{1} 0$ of $G_{p}$ is not PORC (Polynomial On Residue Classes) where $G_{p}$ is the $p$ -group of order $p^{9}$ defined by du Sau…

math.GR2000★ 1 cited

Analytic properties of zeta functions and subgroup growth

Marcus du Sautoy, Fritz Grunewald

In this paper we introduce some new methods to understand the analytic behaviour of the zeta function of a group. We can then combine this knowledge with suitable Tauberian theorem…

Uniformity in Higher class Free Lie algebras

Non-PORC behaviour of a class of descendant p-groups

Analytic properties of zeta functions and subgroup growth

Non-PORC behaviour of a class of descendant $p$ -groups