Results 91 to 100 of about 60,244 (234)
GL‐algebras in positive characteristic II: The polynomial ring
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley +1 more source
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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Units in group rings and blocks of Klein four or dihedral defect
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3470-3489, November 2025.Abstract We obtain restrictions on units of even order in the integral group ring ZG$\mathbb {Z}G$ of a finite group G$G$ by studying their actions on the reductions modulo 4 of lattices over the 2‐adic group ring Z2G$\mathbb {Z}_2G$. This improves the “lattice method” which considers reductions modulo primes p$p$, but is of limited use for p=2$p=2 ...
Florian Eisele, Leo Margolis
wiley +1 more source
Irredundant bases for soluble groups
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3013-3023, October 2025.Abstract Let Δ$\Delta$ be a finite set and G$G$ be a subgroup of Sym(Δ)$\operatorname{Sym}(\Delta)$. An irredundant base for G$G$ is a sequence of points of Δ$\Delta$ yielding a strictly descending chain of pointwise stabilisers, terminating with the trivial group. Suppose that G$G$ is primitive and soluble. We determine asymptotically tight bounds for
Sofia Brenner +2 more
wiley +1 more source
On the essentiality and primeness of λ-super socle of C(X)
Applied General Topology, 2018 Spaces X for which the annihilator of Sλ(X), the λ-super socle of C(X) (i.e., the set of elements of C(X) that cardinality of their cozerosets are less than λ, where λ is a regular cardinal number such that λ≤|X|) is generated by an idempotent are ...
S. Mehran, M. Namdari, S. Soltanpour
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The weak Lefschetz property for artinian Gorenstein algebras
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3211-3222, October 2025.Abstract It is an extremely elusive problem to determine which standard artinian graded K$K$‐algebras satisfy the weak Lefschetz property (WLP). Codimension 2 artinian Gorenstein graded K$K$‐algebras have the WLP and it is open to what extent such result might work for codimension 3 artinian Gorenstein graded K$K$‐algebras.
Rosa M. Miró‐Roig
wiley +1 more source
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
doaj +1 more source
Papers in Palaeontology, Volume 11, Issue 5, September/October 2025.Abstract The Australian Cambrian stratigraphic record is one of the most complete for any continent. However, there is a general division, with older Cambrian rocks in South Australia (predominantly Terreneuvian, Stage 2 to Miaolingian, Wuliuan) and younger rocks in northern Australia (mostly latest Series 2, Stage 4 and younger), with minimal ...
Marissa J. Betts +5 more
wiley +1 more source
Hurwitz components of groups with socle PSL(3, q)
Extracta Mathematicae, 2021 For a finite group G, the Hurwitz space Hinr,g(G) is the space of genus g covers of the Riemann sphere P1 with r branch points and the monodromy group G. In this paper, we give a complete list of some almost simple groups of Lie rank two.
H.M. Mohammed Salih
doaj
Abelian supplements in almost simple groups
Forum of Mathematics, SigmaLet G be an almost simple group with socle $G_0$ . In this paper we prove that whenever $G/G_0$ is abelian, then there exists an abelian subgroup A of G such that $G=AG_0$ .
Mauro Costantini +2 more
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