Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On defining groups efficiently without using inverses
View through CrossRef
Let G be a group, and let 〈A[mid ]R〉 be a finite group presentation for G with [mid ]R[mid ][ges ][mid ]A[mid ].
Then there exists a finite semigroup presentation 〈B[mid ]Q〉 for G such that [mid ]Q[mid ]-
[mid ]B[mid ] = [mid ]R[mid ]-
[mid ]A[mid ]. Moreover, B is either the same generating set or else it contains one
additional generator.
Cambridge University Press (CUP)
Title: On defining groups efficiently without using inverses
Description:
Let G be a group, and let 〈A[mid ]R〉 be a finite group presentation for G with [mid ]R[mid ][ges ][mid ]A[mid ].
Then there exists a finite semigroup presentation 〈B[mid ]Q〉 for G such that [mid ]Q[mid ]-
[mid ]B[mid ] = [mid ]R[mid ]-
[mid ]A[mid ].
Moreover, B is either the same generating set or else it contains one
additional generator.
Related Results
Inner-gMP and gMP-inner inverses
Inner-gMP and gMP-inner inverses
Solving some systems of operator equations, new kinds of generalized inverses are introduced. Since these new inverses can be expressed by inner and gMP inverses, they are called i...
Inner-Φ-GCEP and Φ-GCEP-inner inverses
Inner-Φ-GCEP and Φ-GCEP-inner inverses
Inspired by the concepts of ?-GCEP and ?-*GCEP inverses as generalizations of the gMP, *gMP and MP inverse, the aim of this paper is to extend notions of inner-gMP, gMP-inner, inne...
Quaternion MPCEP, CEPMP, and MPCEPMP Generalized Inverses
Quaternion MPCEP, CEPMP, and MPCEPMP Generalized Inverses
A generalized inverse of a matrix is an inverse in some sense for a wider class of matrices than invertible matrices. Generalized inverses exist for an arbitrary matrix and coincid...
When Does a Dual Matrix Have a Dual Generalized Inverse?
When Does a Dual Matrix Have a Dual Generalized Inverse?
This paper deals with the existence of various types of dual generalized inverses of dual matrices. New and foundational results on the necessary and sufficient conditions for vari...
UNIFIED APPROACH OF THE GENERALIZED INVERSE WITH ITS COMPUTATIONAL DERIVATIONS
UNIFIED APPROACH OF THE GENERALIZED INVERSE WITH ITS COMPUTATIONAL DERIVATIONS
This paper deals with computational derivations of generalized inverses (g-inverses). A special algorithm gives the procedure of finding g-inverses which is verified numerically. A...
Some properties of Max-Plus Algebra and generalized inverses on 2x2 matrices integers modulo 3
Some properties of Max-Plus Algebra and generalized inverses on 2x2 matrices integers modulo 3
Abstract
The properties of Max Plus Algebra can be applied to the matrix. Furthermore, the generalized inverses in a matrix can also be related to this algebra. This...
Eulerian methods for inverse problems using optimal transport
Eulerian methods for inverse problems using optimal transport
Méthodes eulériennes pour les problèmes inverses en transport optimal
Cette thèse a pour but de développer de nouvelles méthodes numériques pour résoudre des problè...
Inverse coefficients problems for non-autonomous wave and magnetic Schrödinger equations
Inverse coefficients problems for non-autonomous wave and magnetic Schrödinger equations
Etude mathématique de problèmes inverses non autonomes de types hyperbolique et quantique
Cette thèse est consacrée à l’étude de problèmes inverses associés à des é...