PERMUTATION

作品数：181被引量：137H指数：6
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A Geometric Proof of Fermat’s Little Theorem
《Advances in Pure Mathematics》2018年第1期41-44,共4页Thomas Beatty Marc Barry Andrew Orsini 
We present an intuitively satisfying geometric proof of Fermat's result for positive integers that for prime moduli p, provided p does not divide a. This is known as Fermat’s Little Theorem. The proof is novel in usi...
关键词：Fermat Carmichael Number GROUP PERMUTATION Burnside’s LEMMA Action Invariant Set Orbit STABILIZER COLORING Pattern Prime Regular POLYGON Cyclic GROUP 
On the Representations of Γ1-Nonderanged Permutation Group g<sub>p</sub>
《Advances in Pure Mathematics》2016年第9期608-614,共7页Ibrahim A. Aminu Ejima Ojonugwa Kazeem O. Aremu 
Representation theory is concerned with the ways of explaining or visualizing a group as a group of matrices. In this paper, we extend the permutation pattern of to a two-line notation. We consider the representations...
关键词：Representation Non-Deranged Permutation Group Γ1-Permutation Group Fgp-Module CHARACTER 
Non-Associative Property of 123-Avoiding Class of Aunu Permutation Patterns
《Advances in Pure Mathematics》2016年第2期51-57,共7页Aminu Alhaji Ibrahim Sa’idu Isah Abubakar 
This paper presents the non-associative and non-commutative properties of the 123-avoiding patterns of Aunu permutation patterns. The generating function of the said patterns has been reported earlier by the author [1...
关键词：Non-Associative NON-COMMUTATIVE PERMUTATION Pattern Avoidance 123-Avoiding Aunu Patterns Cayley Tables Ecetra 
Eigenvectors of Permutation Matrices
《Advances in Pure Mathematics》2015年第7期390-394,共5页M. Isabel Garca-Planas M. Dolors Magret 
The spectral properties of special matrices have been widely studied, because of their applications. We focus on permutation matrices over a finite field and, more concretely, we compute the minimal annihilating polyn...
关键词：PERMUTATION MATRICES EIGENVALUES EIGENVECTORS 
Flag-Transitive 6-(v, k, 2) Designs
《Advances in Pure Mathematics》2014年第5期203-208,共6页Xiaolian Liao Shangzhao Li Guohua Chen 
The automorphism group of a flag-transitive 6–(v, k, 2) design is a 3-homogeneous permutation group. Therefore, using the classification theorem of 3–homogeneous permutation groups, the classification of flag-transi...
关键词：FLAG-TRANSITIVE Combinatorial Design PERMUTATION GROUP AFFINE GROUP 3-Homogeneous PERMUTATION Groups 
Order Relation on the Permutation Symbols in the Ehresmann Subvariety Class Associated to the Distinguished Monomials of Flag Manifolds
《Advances in Pure Mathematics》2013年第7期633-638,共6页Praise Adeyemo Samuel Ilori 
In this paper, we use the theory of lexicographical and graded lexicographical orders to compare two distinguished monomials through their codes of invariants and study the effect of this comparison on their respectiv...
关键词：Natural ASSET FINANCIAL Value Neural Network 
Topological Dynamics in Tandem with Permutation Groups
《Advances in Pure Mathematics》2013年第2期292-296,共5页Isaac Kwame Dontwi William Obeng-Denteh Stephen K. Manu Richard Nyarko Yeboah 
The purpose of this study was to delve into the aspects of abstract algebra that has a link with topological dynamics in terms of permutation and symmetric groups. This would aid users to appreciate the role it plays ...
关键词：PERMUTATION GROUPS RECURRENCE TOPOLOGICAL Dynamics Matlab Code FLOWS 
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