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pro vyhledávání: '"Livesey, Michael A."'
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:
Kleshchev, Alexander, Livesey, Michael
Recently the authors proved the existence of RoCK blocks for double covers of symmetric groups over an algebraically closed field of odd characteristic. In this paper we prove that these blocks lift to RoCK blocks over a suitably defined discrete val
Externí odkaz:
http://arxiv.org/abs/2309.14489
Autor:
Kleshchev, Alexander, Livesey, Michael
We define and study RoCK blocks for double covers of symmetric groups. We prove that RoCK blocks of double covers are Morita equivalent to standard `local' blocks. The analogous result for blocks of symmetric groups, a theorem of Chuang and Kessar, w
Externí odkaz:
http://arxiv.org/abs/2201.06870
Autor:
Remily, Ethan, Dubin, Jeremy, Bains, Sandeep S., Monarrez, Ruben, Livesey, Michael G., Weir, Tristan B., Hameed, Daniel, Ingari, John V., Gilotra, Mohit N., Hasan, S. Ashfaq
Publikováno v:
In Arthroscopy: The Journal of Arthroscopic and Related Surgery February 2024 40(2):277-283
Autor:
Livesey, Michael, Marchi, Claudio
It is an open problem as to whether any bimodule inducing a Morita auto-equivalence of a block must have endopermutation source. We prove that, for blocks $b$ with normal defect groups in odd characteristic, a stronger result holds, namely that all s
Externí odkaz:
http://arxiv.org/abs/2008.05857
Autor:
Eisele, Florian, Livesey, Michael
We construct blocks of finite groups with arbitrarily large Morita Frobenius numbers, an invariant which determines the size of the minimal field of definition of the associated basic algebra. This answers a question of Benson and Kessar. This also i
Externí odkaz:
http://arxiv.org/abs/2006.13837
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
Autor:
Linckelmann, Markus, Livesey, Michael
We show that the Green correspondence induces an injective group homomorphism from the linear source Picard group $\mathcal{L}(B)$ of a block $B$ of a finite group algebra to the linear source Picard group $\mathcal{L}(C)$, where $C$ is the Brauer co
Externí odkaz:
http://arxiv.org/abs/2004.10131
Autor:
Livesey, Michael, Marchi, Claudio
We prove that if $b$ is a block of a finite group with normal abelian defect group and inertial quotient a direct product of elementary abelian groups, then $\operatorname{Picent}(b)$ is trivial. We also provide examples of blocks $b$ of finite group
Externí odkaz:
http://arxiv.org/abs/2002.10571
Autor:
Livesey, Michael G., Bains, Sandeep S., Weir, Tristan B., Kolakowski, Logan, Rocca, Michael S., Remily, Ethan A., Gilotra, Mohit N., Hasan, S. Ashfaq
Publikováno v:
In Journal of Shoulder and Elbow Surgery September 2023 32(9):1937-1944