Results 51 to 60 of about 52,191 (255)
Scissors congruence K$K$‐theory for equivariant manifolds
Bulletin of the London Mathematical Society, EarlyView.Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
wiley +1 more source
A note on the cohomology of moduli spaces of local shtukas
Bulletin of the London Mathematical Society, EarlyView.Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley +1 more source
On stabilizers in finite permutation groups
Bulletin of the London Mathematical Society, EarlyView.Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
wiley +1 more source
The Maschke property for the Sylow $p$-sub-groups of the symmetric group $S_{p^n}$ [PDF]
International Journal of Group Theory, 2018 In this paper we prove that the Maschke property holds for coprime actions on some important classes of $p$-groups like: metacyclic $p$-groups, $p$-groups of $p$-rank two for $p>3$ and some weaker property holds in the case of regular $p$-groups.
David Green +2 more
doaj +1 more source
The log Grothendieck ring of varieties
Bulletin of the London Mathematical Society, EarlyView.Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross +4 more
wiley +1 more source
On Abelian Subgroups ofp-Groups
Journal of Algebra, 1998 Let \(p\) be a prime and let \(G\) be a finite \(p\)-group. Abelian subgroups of the group \(G\) are investigated here. The author generalizes and presents simplified proofs of almost all elementary lemmas from Section 8 of the odd order paper. In particular it is proved, that if \(A2\), and \(\mathcal U\) is the set of all abelian subgroups \(T\) of \(
openaire +2 more sources
A categorical interpretation of continuous orbit equivalence for partial dynamical systems
Bulletin of the London Mathematical Society, EarlyView.Abstract We define the orbit morphism of partial dynamical systems and prove that an orbit morphism being an isomorphism in the category of partial dynamical systems and orbit morphisms is equivalent to the existence of a continuous orbit equivalence between the given partial dynamical systems that preserves the essential stabilisers. We show that this
Gilles G. de Castro, Eun Ji Kang
wiley +1 more source
Residually rationally solvable one‐relator groups
Bulletin of the London Mathematical Society, EarlyView.Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
wiley +1 more source
Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Bulletin of the London Mathematical Society, EarlyView.Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +1 more source
On Groups Whose Irreducible Character Degrees of All Proper Subgroups are All Prime Powers
Journal of Mathematics, 2021 Isaacs, Passman, and Manz have determined the structure of finite groups whose each degree of the irreducible characters is a prime power. In particular, if G is a nonsolvable group and every character degree of a group G is a prime power, then G is ...
Shitian Liu
doaj +1 more source