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pro vyhledávání: '"Eaton, Charles W."'
Autor:
Eaton, Charles W.
We classify up to Morita equivalence all blocks whose defect groups are Suzuki $2$-groups. The classification holds for blocks over a suitable discrete valuation ring as well as for those over an algebraically closed field, and in fact holds up to ba
Externí odkaz:
http://arxiv.org/abs/2401.04028
Autor:
Eaton, Charles W., Livesey, Michael
Publikováno v:
Journal of the London Mathematical Society, Volume 109, 2024
We classify all $2$-blocks with abelian defect groups of rank $4$ up to Morita equivalence. The classification holds for blocks over a suitable discrete valuation ring as well as for those over an algebraically closed field. An application is that Br
Externí odkaz:
http://arxiv.org/abs/2310.05734
Autor:
An, Jianbei, Eaton, Charles W.
We characterise the Morita equivalence classes of blocks with extraspecial defect groups $p_+^{1+2}$ for $p \geq 5$, and so show that Donovan's conjecture and the Alperin-McKay conjecture hold for such $p$-groups. For $p=3$ we reduce Donovan's conjec
Externí odkaz:
http://arxiv.org/abs/2310.02150
Autor:
Eaton, Charles W., Livesey, Michael
We consider Donovan's conjecture in the context of blocks of groups $G$ with defect group $D$ and normal subgroups $N \lhd G$ such that $G=C_D(D\cap N)N$, extending similar results for blocks with abelian defect groups. As an application we show that
Externí odkaz:
http://arxiv.org/abs/2006.11173
Akademický článek
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Autor:
Eaton, Charles W., Livesey, Michael
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 2-rank at most three with the exception of the principal block of J1.
Externí odkaz:
http://arxiv.org/abs/1810.10950
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 $\mathcal{O}$. Consequences are that Donovan's conjecture holds for $\mathcal{O}$-bloc
Externí odkaz:
http://arxiv.org/abs/1809.08152
Autor:
Eaton, Charles W.
We classify the Morita equivalence classes of blocks with elementary abelian defect groups of order $16$ with respect to a complete discrete valuation ring with algebraically closed residue field of characteristic two. As a consequence, blocks with t
Externí odkaz:
http://arxiv.org/abs/1612.03485
Autor:
Eaton, Charles W., Livesey, Michael
Publikováno v:
In Journal of Algebra 15 September 2021 582:157-176
