A. Mann

activity

20152021

collaborators

3 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.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

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

Character degrees of some p-groups

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

Character degrees of some $p$ -groups