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pro vyhledávání: '"Dave Benson"'
Autor:
Dave Benson
Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, th
Autor:
Dave Benson, Benjamin Sambale
Publikováno v:
Forum Mathematicum.
We develop new techniques to classify basic algebras of blocks of finite groups over algebraically closed fields of prime characteristic. We apply these techniques to simplify and extend previous classifications by Linckelmann, Murphy and Sambale. In
Autor:
Dave Benson, John Greenlees
Publikováno v:
Algebras and Representation Theory.
We construct a differential graded algebra (DGA) modelling certain$A_{\infty }$A∞algebras associated with a finite groupGwith cyclic Sylow subgroups, namelyH∗BGand$H_{*}{\Omega } BG{^{^{\wedge }}_p}$H∗ΩBGp∧. We use our construction to invest
Autor:
PR Newswire
Publikováno v:
PR Newswire US. 08/16/2019.
Autor:
Julia Pevtsova, Dave Benson
Publikováno v:
Journal of Algebra. 561:84-110
We examine the cohomology and representation theory of a family of finite supergroup schemes of the form $(\mathbb G_a^-\times \mathbb G_a^-)\rtimes (\mathbb G_{a(r)}\times (\mathbb Z/p)^s)$. In particular, we show that a certain relation holds in th
Autor:
Dave Benson
Publikováno v:
Journal of Algebra. 558:24-42
We make some conjectures about tensor products of modular representations for a finite p-group in characteristic p, for p = 2 and p = 3 . The easiest to state is that if M is a module of odd dimension for a 2-group over an algebraically closed field
Autor:
Strickland, Paul
Publikováno v:
Mathematics Teaching. Jun2003, Issue 183, p43. 2p.
Autor:
Dave Benson
Publikováno v:
Journal of Algebra. 527:204-240
We investigate a Curtis–Tits style group presentation based on the Dynkin diagram C g , in which the short root generators have order two while the long root generators have order four. We prove that this describes a finite group with an almost ext
Publikováno v:
Selecta Mathematica. 27
This work concerns the representation theory and cohomology of a finite unipotent supergroup scheme $G$ over a perfect field $k$ of positive characteristic $p\ge 3$. It is proved that an element $x$ in the cohomology of $G$ is nilpotent if and only i
We give a simple algebraic recipe for calculating the components of the BV operator $\Delta$ on the Hochschild cohomology of a finite group algebra with respect to the centraliser decomposition. We use this to investigate the properties of $\Delta$ a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b50fa01c2de737c01b70d2e6f25a34e
http://arxiv.org/abs/2005.01694
http://arxiv.org/abs/2005.01694