Results 21 to 30 of about 4,257,446 (215)
On the commutativity degree in finite Moufang loops [PDF]
International Journal of Group Theory, 2016 The textit{commutativity degree}, $Pr(G)$, of a finite group $G$ (i.e. the probability that two (randomly chosen) elements of $G$ commute with respect to its operation)) has been studied well by many authors.
Karim Ahmadidelir
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Some bounds on commutativity degree [PDF]
, 2011 The relative commutativity degree of a subgroup $H$ of a finite group $G$, denoted by $\Pr(H, G)$, is the probability that an element of $G$ commutes with an element of $H$. In this article we obtain some lower and upper bounds for $\Pr(H, G)$ and their consequences.
Rajat Kanti Nath, Manoj K. Yadav
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Subgroup commutativity degree of profinite groups
Topology and its Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. Kazeem
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Power-Associative Commutative Algebras of Degree Two [PDF]
Proceedings of the National Academy of Sciences, 1952 Louis A. Kokoris
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Finite Groups with Five Relative Commutativity Degrees
Results in Mathematics, 2022 We classify all finite groups with five relative commutativity degrees. Also, we give a partial answer to our previous conjecture on a lower bound of the number of relative commutativity degrees of finite groups.
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Subgroup commutativity degrees of finite groups
Journal of Algebra, 2009 Let \(G\) be a finite group and let \(L(G)\) be the set of subgroups of \(G\). The author defines the subgroup commutativity degree of \(G\) by \(\text{sd}(G)=|L(G)|^{-2}|\{(H,K)\in L(G)^2\mid HK=KH\}|\). Clearly, \(\text{sd}(G)\) is the probability that two subgroups of \(G\) permute. The author states some simple general properties of \(\text{sd}(G)\)
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On generalized commutativity degree of a finite group
Rocky Mountain Journal of Mathematics, 2011 Let \(G\) be a finite group. The generalized commutator of an \(n\)-tuple \((x_1,x_2,\dots,x_n)\in G^n\) is defined as the product \(x_1x_2\cdots x_nx_1^{-1}x_2^{-1}\cdots x_n^{-1}\). The object of this paper is to study the probability that the generalized commutator of an arbitrarily chosen \(n\)-tuple of group elements equals a given group element \(
Nath, R.K., Das, A.K.
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The Precise Value of Commutativity Degree in Some Finite Groups
, 2014 The commutativity degree of a finite group G, denoted by P(G), is the probability that a selected chosen pair of elements of G commute. The object of this paper is to compute a precise value of commutativity degree of some finite metacyclic p-groups of ...
Kayvan Moradipour +2 more
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The subgroup commutativity degree of finite P-groups [PDF]
, 2013 The subgroup commutativity degree of a group G has been defined in [6] as the probability that two subgroups of G commute, or equivalently that the product of two subgroups is again a subgroup.
Marius Tărnăuceanu
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A note on subgroup commutativity degrees of finite groups [PDF]
, 2018 In this note we give some new results concerning the subgroup commutativity degree of a finite group $G$. These are obtained by considering the minimum of subgroup commutativity degrees of all sections of $G$
Marius Tărnăuceanu
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