G. Robinson

activity

20102023

most citedOn the number of simple modules in a block of a finite group

15 citations · 17 across the 11 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.RT2015★ 15 cited

On the number of simple modules in a block of a finite group

Gunter Malle, Geoffrey R. Robinson

We prove that if $B$ is a $p$ -block with non-trivial defect group $D$ of a finite $p$ -solvable group $G$ , then $ℓ (B) < p^{r}$ , where $r$ is the sectional rank of $D$ . We remark th…

math.RT2015

Lifting a 5-dimensional representation of $M_{11}$ to a complex unitary representation of a certain amalgam

Geoffrey R. Robinson

We lift the $5$ -dimensional characteristic $3$ representation of $M_{11}$ to a complex representation of the amalgam $GL (2, 3) *_{D_{8}} S_{4}$ , and consider its reduction (mod $p…

math.GR2015

Carter Subgroups, Amalgams, Simple Groups, and the Zp*-theorem

Geoffrey R. Robinson

We consider an amalgam of groups constructed from fusion systems for different odd primes p and q. This amalgam contains a self-normalizing cyclic subgroup of order pq and isolated…

On the number of simple modules in a block of a finite group

Lifting a 5-dimensional representation of M11​ to a complex unitary representation of a certain amalgam

Carter Subgroups, Amalgams, Simple Groups, and the Zp*-theorem

Lifting a 5-dimensional representation of $M_{11}$ to a complex unitary representation of a certain amalgam