Results 61 to 70 of about 60,244 (234)
Expansion of normal subsets of odd‐order elements in finite groups
Abstract Let G$G$ be a finite group and K$K$ a normal subset consisting of odd‐order elements. The rational closure of K$K$, denoted DK$\mathbf {D}_K$, is the set of elements x∈G$x \in G$ with the property that ⟨x⟩=⟨y⟩$\langle x \rangle = \langle y \rangle$ for some y$y$ in K$K$.
Chris Parker, Jack Saunders
wiley +1 more source
This paper introduces the emic concept of guesting, coined by women living in refugee accommodation to distinguish their form of hospitality from other more hierarchical forms of hosting. Central to guesting is the unspoken rule that once you have played the host, next time you must be the guest.
Charlot Schneider
wiley +1 more source
On function field Mordell-Lang: the semiabelian case and the socle theorem
We here aim to complete our model-theoretic account of the function field Mordell-Lang conjecture, avoiding appeal to dichotomy theorems for Zariski geometries, where we now consider the general case of semiabelian varieties.
Benoist, Franck +2 more
core +4 more sources
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
Flag-transitive point-primitive non-symmetric 2-(v,k,2) designs with alternating socle [PDF]
This paper studies flag-transitive point-primitive non-symmetric $2$-($v,k,2$) designs. We prove that if $\mathcal{D}$ is a non-trivial non-symmetric $2$-$(v,k,2)$ design admitting a flag-transitive point-primitive automorphism group $G$ with $Soc(G)=A_ ...
Hongxue Liang, Shenglin Zhou
semanticscholar +1 more source
Groups with conjugacy classes of coprime sizes
Abstract Suppose that x$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
Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras [PDF]
We consider the socle deformations arising from formal deformations of a class of Koszul self-injective special biserial algebras which occur in the study of the Drinfeld double of the generalized Taft algebras.
A Class +5 more
core +1 more source
Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$
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
On the degree two entry of a Gorenstein $h$-vector and a conjecture of Stanley
In this note we establish a (non-trivial) lower bound on the degree two entry $h_2$ of a Gorenstein $h$-vector of any given socle degree $e$ and any codimension $r$.
Migliore, Juan C. +2 more
core +2 more sources
Le « socle », matériau du projet de paysage
The analysis of the final works of the Ecole du paysage de Versailles’ students allows us to highlight what remains nevertheless a conceptual "black box" : the landscape project.
Hervé Davodeau
doaj +1 more source

