Results 21 to 30 of about 209 (119)
A homological invariant of certain torsion free crystallographic groups
, 2020 Several homological invariants namely the nonabelian tensor square, the exterior square and the Schur multiplier of groups have been of research interests by group theorists over the years.
Sarmin, Nor Haniza +2 more
core +1 more source
Alperin's bound and normal Sylow subgroups
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let G$G$ be a finite group, p$p$ a prime number and P$P$ a Sylow p$p$‐subgroup of G$G$. Recently, Malle, Navarro, and Tiep conjectured that the number of p$p$‐Brauer characters of G$G$ coincides with that of the normalizer NG(P)${\bf N}_G(P)$ if and only if P$P$ is normal in G$G$.
Zhicheng Feng +2 more
wiley +1 more source
Minimal projective varieties satisfying Miyaoka's equality
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract In this paper, we establish a structure theorem for a minimal projective klt variety X$X$ satisfying Miyaoka's equality 3c2(X)=c1(X)2$3c_2(X) = c_1(X)^2$. Specifically, we prove that the canonical divisor KX$K_X$ is semi‐ample and that the Kodaira dimension κ(KX)$\kappa (K_X)$ is equal to 0, 1, or 2. Furthermore, based on this abundance result,
Masataka Iwai +2 more
wiley +1 more source
The nonabelian tensor squares of certain bieberbach groups with cyclic point group of order two [PDF]
, 2009 The torsion free crystallographic groups are called Bieberbach groups. These groups are extensions of a finite point group and a free abelian group of finite rank. The rank of the free abelian group is the dimension of Bieberbach group. In this research,
Masri, Rohaidah
core
The six operations in topology
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In this paper, we show that the six functor formalism for sheaves on locally compact Hausdorff topological spaces, as developed, for example,‐ in Kashiwara and Schapira's book Sheaves on Manifolds, can be extended to sheaves with values in any closed symmetric monoidal ∞$\infty$‐category which is stable and bicomplete. Notice that, since we do
Marco Volpe
wiley +1 more source
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
The nonabelian tensor squares of one family of bieberbach groups with point group C2 [PDF]
, 2008 The nonabelian tensor square, GѳG, of a group G is generated by the symbols g ѳ h , where g,hεG subject to the relations gg'ѳh=( ⁸g’ѳg⁸h)(gѳh) and gѳhh’=(gѳh)(hgѳhh') for all g,g',h,h'εG, where g g'=gg'g-1 is the conjugation on the left.
Aris, Nor'aini +3 more
core
Free Unit Groups in Group Algebras
, 2001 Let K[G] denote the group algebra of a finite group G over a field K. If either char K=0 and G is nonabelian, or K is a nonabsolute field of characteristic π>0 and G/Oπ(G) is nonabelian, then it is well known that the group of units U(K[G]) contains a ...
Passman, D.S, Gonçalves, J.Z
core +1 more source
The nonabelian tensor square of a Bieberbach group with symmetric point group of order six [PDF]
, 2016 Bieberbach groups are torsion free crystallographic groups. In this paper, our focus is given on the Bieberbach groups with symmetric point group of order six.
Husna Zayadi
core +1 more source
On fixed‐point‐free involutions in actions of finite exceptional groups of Lie type
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let G$G$ be a nontrivial transitive permutation group on a finite set Ω$\Omega$. By a classical theorem of Jordan, G$G$ contains a derangement, which is an element with no fixed points on Ω$\Omega$. Given a prime divisor r$r$ of |Ω|$|\Omega |$, we say that G$G$ is r$r$‐elusive if it does not contain a derangement of order r$r$. In a paper from
Timothy C. Burness, Mikko Korhonen
wiley +1 more source