Charles W. Eaton

activity

20172020

collaborators

5 papers

math.RT2020

Donovan's conjecture and extensions by the centralizer of a defect group

Charles W. Eaton, Michael Livesey

We consider Donovan's conjecture in the context of blocks of groups $G$ with defect group $D$ and normal subgroups $N ⊲ G$ such that $G = C_{D} (D \cap N) N$ , extending similar results…

math.RT2018

Some examples of Picard groups of blocks

Charles W. Eaton, Michael Livesey

We calculate examples of Picard groups for 2-blocks with abelian defect groups with respect to a complete discrete valuation ring. These include all blocks with abelian 2-groups of…

math.RT2018

Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings

Charles W. Eaton, Florian Eisele, Michael Livesey

We give a reduction to quasisimple groups for Donovan's conjecture for blocks with abelian defect groups defined with respect to a suitable discrete valuation ring $O$ . C…

math.RT2018

Donovan's conjecture and blocks with abelian defect groups

Charles Eaton, Michael Livesey

We give a reduction of Donovan's conjecture for abelian groups to a similar statement for quasisimple groups. Consequently we show that Donovan's conjecture holds for abelian $2$ -g…

math.RT2017

Classifying blocks with abelian defect groups of rank $3$ for the prime $2$

Charles Eaton, Michael Livesey

In this paper we classify all blocks with defect group $C_{2^{n}} \times C_{2} \times C_{2}$ up to Morita equivalence. Together with a recent paper of Wu, Zhang and Zhou, this completes th…

Donovan's conjecture and extensions by the centralizer of a defect group

Some examples of Picard groups of blocks

Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings

Donovan's conjecture and blocks with abelian defect groups

Classifying blocks with abelian defect groups of rank 3 for the prime 2

Classifying blocks with abelian defect groups of rank $3$ for the prime $2$