Results 51 to 60 of about 29,505 (192)
Scissors congruence K$K$‐theory for equivariant manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.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
Automorphisms of Higher Rank Lamplighter Groups
, 2015 Let $\Gamma_d(q)$ denote the group whose Cayley graph with respect to a particular generating set is the Diestel-Leader graph $DL_d(q)$, as described by Bartholdi, Neuhauser and Woess. We compute both $Aut(\Gamma_d(q))$ and $Out(\Gamma_d(q))$ for $d \geq
Stein, Melanie +2 more
core +1 more source
A note on groups with many locally supersoluble subgroups [PDF]
International Journal of Group Theory, 2015 It is proved here that if G is a locally graded group satisfying the minimal condition on subgroups which are not locally supersoluble, then G is either locally supersoluble or a \vCernikov group.
Francesco de Giovanni +1 more
doaj
On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups [PDF]
Mathematische Zeitschrift, 2010 Let \(G\) be a connected semisimple algebraic group over an algebraically closed field of characteristic 0, and let \(\theta\) be an automorphism of \(G\). The present article studies the \(\theta\)-twisted conjugacy classes in \(G\), i.e., the orbits of the action of \(G\) on itself given by \(g._\theta h=gh\theta(h)^{-1}\).
openaire +3 more sources
On stabilizers in finite permutation groups
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.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
Conjugacy classes of trialitarian automorphisms and symmetric compositions [PDF]
, 2011 The trialitarian automorphisms considered in this paper are the outer automorphisms of order 3 of adjoint classical groups of type D_4 over arbitrary fields.
Chernousov, Vladimir +2 more
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Spherical conjugacy classes and involutions in the Weyl group
, 2006 Let G be a simple algebraic group over an algebraically closed field of characteristic zero or positive odd, good characteristic. Let B be a Borel subgroup of G. We show that the spherical conjugacy classes of G intersect only the double cosets of B in G
Carnovale, Giovanna
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Hecke Groups, Dessins d'Enfants and the Archimedean Solids
Frontiers in Physics, 2015 Grothendieck's dessins d'enfants arise with ever-increasing frequency in many areas of 21st century mathematical physics. In this paper, we review the connections between dessins and the theory of Hecke groups. Focussing on the restricted class of highly
Yang-Hui eHe, Yang-Hui eHe, James eRead
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Canonical symplectic representations for prime order conjugacy classes of the mapping-class group
Journal of Algebra, 2007 24 pages; change in title; typos corrected; some theorems revised; computational complexity added; final version of paper to appear in Journal of ...
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Abelian Livšic theorems for Anosov flows
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We give two short proofs of the abelian Livšic theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livšic theorems for positive density sets of null‐homologous orbits and for amenable covers.
Richard Sharp
wiley +1 more source