Results 51 to 60 of about 433 (184)
Groups with conjugacy classes of coprime sizes
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract Suppose that x$x$, y$y$ are elements of a finite group G$G$ lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩∩⟨yG⟩$\langle x^G \rangle \cap \langle y^G \rangle$ is an abelian normal subgroup of G$G$ and, as a consequence, that if x$x$ and y$y$ are π$\pi$‐regular elements for some set of primes π$\pi$, then xGyG$x^G y^G$ is a π ...
R. D. Camina +8 more
wiley +1 more source
Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian +3 more
wiley +1 more source
Derangements in intransitive groups
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley +1 more source
JAPAN ARCHITECTURAL REVIEW, Volume 9, Issue 1, January–December 2026.ABSTRACT In the 17th‐century Louvre expansion project, many architects used free‐standing columns, domes and large pediments for its east elevation. These elements helped give the elevation, over 150 m wide, the monumentality the court wanted, while also providing the appropriate articulation. Bernini was probably the only architect who did not use any
Taro Endo
wiley +1 more source
Revision of the Tribe Bythinini (Staphylinidae, Pselaphinae) From Korea With Molecular Phylogeny
Zoologica Scripta, Volume 55, Issue 1, Page 131-144, January 2026.ABSTRACT Although three genera of Bythinini are known from East Asia, Bythoxenites Jeannel, Bryaxis Kugelann and Tychobythinus Ganglbauer, only Bryaxis has been reported in Korea, and no phylogenetic research has been conducted. We report new records of the genus Tychobythinus in Korea and describe T. rasiligulus sp. n.
Yeon‐Jae Choi +2 more
wiley +1 more source
, 2022 The socle of a group $G$ is the subgroup generated by all minimal normal subgroups of $G$. In this short note, we determine the socle of a Hamiltonian group explicitly.
Koner, Sourav, Mitra, Biswajit
openaire +2 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
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The Structure of Simple Modules of Birman-Murakami-Wenzl Algebras
Journal of Mathematics, 2015 We study the restriction of simple modules Df,λ of Birman-Murakami-Wenzl algebras Bn(r,q) with q being not a root of 1. Precisely, we study the module structure for the restriction of Df,λ to Bn-1(r,q) and describe the socle and head of the restriction ...
Xu Xu
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When is the super socle of C(X) prime?
Applied General Topology, 2019 Let SCF(X) denote the ideal of C(X) consisting of functions which are zero everywhere except on a countable number of points of X. It is generalization of the socle of C(X) denoted by CF(X).
S. Ghasemzadeh, M. Namdari
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On higher Jacobians, Laplace equations, and Lefschetz properties
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida +2 more
wiley +1 more source