Results 61 to 70 of about 235,315 (244)
Groups whose Chermak-Delgado lattice is a subgroup lattice of an elementary abelian $p$-group [PDF]
arXiv, 2021 The Chermak-Delgado lattice of a finite group $G$ is a self-dual sublattice of the subgroup lattice of $G$. In this paper, we focus on finite groups whose Chermak-Delgado lattice is a subgroup lattice of an elementary abelian $p$-group. We prove that such groups are nilpotent of class $2$.
arxiv
Graph labelings in elementary abelian groups
Discrete Mathematics, 1998 AbstractLet p be an odd prime and let n ⩾ 1 be an integer. We show that if G is a directed graph without isolated vertices such that V(G)| ⩽ pn, then there exists an injective mapping ϕ from V(G) to the elementary abelian p-group of order pn such that ∑xϵV(C) ϕ(x) = 0 for every connected component C of G.
openaire +2 more sources
On a group of the form $2^{11}:M_{24}$ [PDF]
AUT Journal of Mathematics and ComputingThe Conway group $Co_{1}$ is one of the $26$ sporadic simple groups. It is the largest of the three Conway groups with order $4157776806543360000=2^{21}.3^9.5^4.7^2.11.13.23$ and has $22$ conjugacy classes of maximal subgroups.
Vasco Mugala +2 more
doaj +1 more source
physica status solidi (b), EarlyView.This work explores the design of Majorana zero modes in InAsP quatum dots within InP nanowires coupled to a p‐type superconductor. Using atomistic calculations, exact diagonalization, and the variational quantum eigensolver (VQE) method, a variational ansatz for capturing ground state in the topological phase is introduced.
Mahan Mohseni +7 more
wiley +1 more source
Actions of elementary Abelian p-groups
Topology, 1988 WE STUDY actions of elementary abelian p-groups (i.e. G = fi E/p, p prime), on manifolds or near-manifolds X (i.e. X is an n-manifold off of a singularity set of dimension
openaire +2 more sources
Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware
Advanced Quantum Technologies, EarlyView.Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine +3 more
wiley +1 more source
Relation Between Groups with Basis Property and Groups with Exchange Property
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 A group G is called a group with basis property if there exists a basis (minimal generating set) for every subgroup H of G and every two bases are equivalent.
Khalaf Al Khalaf, Alkadhi Mohammed
doaj +1 more source
The Hilton–Milnor theorem in higher topoi
Bulletin of the London Mathematical Society, EarlyView.Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley +1 more source
Finite Abelian Subgroups of the Mapping Class Group [PDF]
Algebr. Geom. Topol. 7 (2007) 1651-1697, 2006 The problem of enumeration of conjugacy classes of finite abelian subgroups of the mapping class group $\mathcal{M}_{\sigma}$ of a compact closed surface $X$ of genus $\sigma$ is considered. A complete method of enumeration is achieved for finite elementary abelian subgroups and steps are taken toward enumeration of finite abelian subgroups.
arxiv +1 more source
On the isomorphism problem for monoids of product‐one sequences
Bulletin of the London Mathematical Society, EarlyView.Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source