This paper studies a partial order on the general linear group GL(V) called the absolute order, derived from viewing GL(V) as a group generated by reflecti... H Jia,JB Lewis,V Reiner - 《Journal of the London Mathematical Society》 被引量: 8发表: 2017年 Generating functions for real ...
This paper studies a partial order on the general linear group GL(V) called the absolute order, derived from viewing GL(V) as a group generated by reflections, that is, elements whose fixed space has codimension one. The absolute order on GL(V) is shown to have two equivalent descriptions...
Overgroups of Cyclic Sylow Subgroups of Linear Groups We use a theorem of Guralnick, Penttila, Praeger, and Saxl to classify the subgroups of the general linear group (of a finite dimensional vector space over... John Bamberg*supa/supsup*/sup &,Tim Penttila**supa/sup - 《Communications in...
Location of subgroups in the general linear group over a commutative ring Let σ be any D-net of ideals of order n over a commutative local Bezoutian ring R and denote by G(σ) the corresponding net subgroup in the general linear... ZI Borevich,NA Vavilov - 《Proceedings of the Steklov...
Going beyond networks, to include higher-order interactions of arbitrary sizes, is a major step to better describe complex systems. In the resulting hypergraph representation, tools to identify structures and central nodes are scarce. We consider the dec
Although we only considered two-body and three-body couplings, this framework naturally extends to larger group interactions. Do the lessons learned here for phase oscillators carry over to more general oscillator dynamics? The generalized Laplacians used here have been shown to work for arbitrary ...
The order bound for the minimum distance of algebraic geometry codes was originally defined for the duals of one-point codes and later general-ized for arbitrary algebraic geometry codes. Another bound of order type for the minimum distance of general linear codes, and for codes from order domain...
While some control systems may be adequately modelled as a first-order linear differential equation, many more practical systems, including position control, are more conformably represented by a differential equation of the second order. The second-order differential equation has the general form: (...
Given a simplicial complex, a n-chain consists of the elements of a free abelian group \({{\mathcal{C}}}_{n}\) with basis formed by the set of all oriented n-simplices. Therefore every element of \({{\mathcal{C}}}_{n}\) can be uniquely expressed as a linear combination of ...
With this proof, we obtain a 2-move (i.e., round optimal) (partially) blind signature scheme (without random oracle) based on the decisional linear assumption in the common reference string model, which is of independent interest. As the second contribution of this paper, we construct prime...