commutativity degree
On the commutativity degree in finite Moufang loops
... of commutativity degrees of all non–associative Moufang loops of order 64 is equal to the set of commutativity degrees of all non–associative Moufang loops of the form M(G, 2), where G is a non–abelian ...
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The nth commutativity degree of nonabelian metabelian groups of order at most 24
... In the following chapters, the result of nth commutativity degree for nonabelian metabelian groups of order less than 24 and equal to 24 are presented. The results are splitted into two chapters, which are ...
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The commutativity degree of some nonabelian two-groups with a cyclic subgroup of index four
... the commutativity degree of a group G , was introduced by Erdos and Turan [2] in which they studied the properties of random permutations, and develop a statistical theory for the symmetric ...the ...
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The commutativity degree of all nonabelian metabelian groups of order at most 24
... less than 24 will be represented. There are two methods to find the commutativity degree of groups which are using Cayley Table or 0-1 Table, and Conjugacy Classes. The Groups, Algorithms and Programming ...
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The precise value of commutativity degree in some finite groups
... There are several papers on the conjugacy classes and commutativity degree of finite 𝑝𝑝 -groups see, for example [3,4,5,6,7]. Many authors achieved to significant results on the lower and upper bound for ...
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The commutativity degree of 3-engel groups up to order 40
... the commutativity degree of a group, . The result on the commutativity degree of all 3-Engel groups of order at most 40 with different approaches is presented and ...
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The squared Commutativity degree of dihedral groups
... The commutativity degree of a finite group is the probability that a random pair of elements in the group ...power commutativity degree of a group is a generalization of the ...
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The relative commutativity degree and sub-multiplicative degree for noncyclic subgroups of some nonabelian metabelian groups
... utativity degree and sub-m ultiplicative degree for various ...utativity degree and sub-m ultiplicative degree for noncyclic subgroups of nonabelian m etabelian groups of order less than 24 ...
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Restrictions on commutativity ratios in finite groups
... the commutativity ratio of G, but others sometimes refer to it as the ‘commutativity degree’ of the group G; this phrase has another well-established meaning in the theory of p-groups and so we will ...
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Commutativity degrees and related invariants of some finite nilpotent groups
... the commutativity degree, n-th commutativity degree, relative n-th commutativity degree, commutator degree and the exterior degree are ...the commutativity ...
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Generalized commutativity degrees of some finite groups and their related graphs
... There is an extensive literature in the use of probability in finite group theory. One of the most important aspects is the probability that two elements of a finite group commute which is called as the ...
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On Commutativity of Rings Under Certain Polynomial Constraints
... existing literature (cf. [24, Remark 2]) which shows these classes of rings are generalization of class of rings with unity. Recently, many results for rings with unity 1, particularly a number of commutativity ...
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The Commutativity of a * Ring with Generalized Left * α Derivation
... In this paper, it is defined that left *- α -derivation, generalized left *- α -derivation and *- α -derivation, generalized *- α -derivation of a *-ring where α is a homomorphism. The results which proved for ...
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A commutativity theorem for left s unital rings
... and KHAN, M.A., A Commutatlvity Theorem for left s-unltal Rings, Bull.. and QUADRI, M.A., On Commutatlvity of Associative Rings, Bull.[r] ...
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On commutativity of one sided s unital rings
... Commutativity of rings, Left s.unital rings, Ring with "unity, Nilpotent element, Nil commutator ideal, Zero-divisors, Semi-pmme rings.. 1980 AMS SffBJECT CLASSIFICATION CODE.[r] ...
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Fixed points via a generalized local commutativity
... We thereby obtain new fixed point theorems for functions with bounded orbits which generalize a recent theorem by Huang and Hong, and results by Jachymski, Jungck, Ohta, and Nikaido, Rhoa[r] ...
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Existence of Commutativity in Parikh and Anti-Diagonal Matrices
... The topic of Parikh matrices is a promising area of research related to combinatorics on words. In this paper we have obtained certain criteria for words so that their Parikh matrices and Anti-diagonal matrices are ...
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On commutativity of prime and semiprime rings with generalized derivations
... the commutativity of a ring and the existence of certain specific types of derivations (see Ashraf and Rehman [2002] , where fur- ther references can be ...
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Left Generalized Derivations and Commutativity of Prime Rings
... the commutativity of prime rings with derivations was initiated by ...and commutativity of prime ring is a ...and commutativity of prime ring is a ...
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On some weak conditions of commutativity in common fixed point theorems
... Independently from the fixed point considerations until now established, we conclude this paper exhibiting some easy examples which show that the concepts of weak, quasi and slight commu[r] ...
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