16 citations · 19 across the 5 of their papers we have counts for
11 papers
Morita equivalence classes of -blocks with abelian defect groups of rank
Charles W. Eaton, Michael Livesey
We classify all -blocks with abelian defect groups of rank up to Morita equivalence. The classification holds for blocks over a suitable discrete valuation ring as well as f…
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 with defect group and normal subgroups such that , extending similar results…
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…
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 . C…
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 -g…
Towards Donovan's conjecture for abelian defect groups
Charles Eaton, Michael Livesey
We define a new invariant for a -block, the strong Frobenius number, which we use to address the problem of reducing Donovan's conjecture to normal subgroups of index p. As an a…
Classifying blocks with abelian defect groups of rank for the prime
Charles Eaton, Michael Livesey
In this paper we classify all blocks with defect group up to Morita equivalence. Together with a recent paper of Wu, Zhang and Zhou, this completes th…
Morita equivalence classes of blocks with elementary abelian defect groups of order 16
Charles W. Eaton
We classify the Morita equivalence classes of blocks with elementary abelian defect groups of order with respect to a complete discrete valuation ring with algebraically close…
Loewy lengths of blocks with abelian defect groups
Charles W. Eaton, Michael Livesey
We consider -blocks with abelian defect groups and in the first part prove a relationship between its Loewy length and that for blocks of normal subgroups of index . Using th…
Morita equivalence classes of 2-blocks of defect three
Charles W. Eaton
We give a complete description of the Morita equivalence classes of blocks with elementary abelian defect groups of order 8 and of the derived equivalences between them. A conseque…
2-blocks with abelian defect groups
Charles W. Eaton, Radha Kessar, Burkhard Külshammer +1
We give a classification, up to Morita equivalence, of 2-blocks of quasi-simple groups with abelian defect groups. As a consequence, we show that Donovan's conjecture holds for ele…