A. Mann

activity

20152021

collaborators

7 papers

math.GR2021

On abelian subgroups of finite groups

Avinoam Mann

We consider abelain subgroups of small index in finite groups. More generally, we consider subgroups such that the product of their index by the index of their centralizer is small…

math.GR2020

Explicit universal minimal constants for polynomial growth of groups

Russell Lyons, Avinoam Mann, Romain Tessera +1

Shalom and Tao showed that a polynomial upper bound on the size of a single, large enough ball in a Cayley graph implies that the underlying group has a nilpotent subgroup with ind…

math.GR2018

The breadth-degree type of a finite $p$ -group

Norberto Gavioli, Avinoam Mann, Valerio Monti

We determine an upper bound for the size of a stem $p$ -group in terms of its breadth and its maximum character degree.

math.GR2016

Character degrees of some $p$ -groups

Avinoam Mann

We restrict the possibilities for the character degrees of $p$ -groups $G$ satisfying $∣ G : G^{'} ∣ = p^{2}$ . E.g. if $G$ is of maximal class and has an irreducible character of degree $> p…

math.GR2015

Some group theoretical mass formulae

Avinoam Mann

A 'mass formula' is a formula involving a sum of reciprocals of automorphism groups orders. We provide several such formulae, e.g. ones involving covering groups of finite groups.…

math.GR2015

Philip Hall's 'rather curious' formula and the Rogers-Ramanujan identities

Avinoam Mann

We show that a strange group theoretical formula of Hall follows from the Rogers-Ramanujan identities.

On abelian subgroups of finite groups

Explicit universal minimal constants for polynomial growth of groups

The breadth-degree type of a finite p-group

Character degrees of some p-groups

Some group theoretical mass formulae

Philip Hall's 'rather curious' formula and the Rogers-Ramanujan identities

The breadth-degree type of a finite $p$ -group

Character degrees of some $p$ -groups