Concept
Perfect group
Related publications (11)
Ordinary varieties with trivial canonical bundle are not uniruled
Zsolt Patakfalvi, Maciej Emilian Zdanowicz
We prove that smooth, projective, K-trivial, weakly ordinary varieties over a perfect field of characteristic p>0 are not geometrically uniruled. We also show a singular version of our theorem, which is sharp in multiple aspects. Our work, together with La ...
2021Uniformly perfect finitely generated simple left orderable groups
We show that the finitely generated simple left orderable groups G(rho) constructed by the first two authors in Hyde and Lodha [Finitely generated infinite simple groups of homeomorphisms of the real line. Invent. Math. (2019), doi:10.1007/s00222-01900880- ...
CAMBRIDGE UNIV PRESS2021Universal p'-central extensions
Jacques Thévenaz, Caroline Lassueur
It is well-known that a finite group possesses a universal central extension if and only if it is a perfect group. Similarly, given a prime number p, we show that a finite group possesses a universal p′-central extension if and only if the p′-part of its a ...
Elsevier2017Quasi-hereditary property of double Burnside algebras
Baptiste Thierry Pierre Rognerud
In this short note, we investigate some consequences of the vanishing of simple biset functors. As a corollary, if there is no non-trivial vanishing of simple biset functors (e.g., if the group G is commutative), then we show that kB(G,G) is a quasi-heredi ...
Elsevier2015