Results 121 to 130 of about 441 (146)

Finite Groups with Four Relative Commutativity Degrees

Algebra Colloquium, 2015
It is shown that a finite group G has four relative commutativity degrees if and only if G/Z(G) is a p-group of order p3 and G has no abelian maximal subgroups, or G/Z(G) is a Frobenius group with Frobenius kernel and complement isomorphic to ℤp × ℤp and ℤq, respectively, and the Sylow p-subgroup of G is abelian, where p and q are distinct primes.
Erfanian, A., Farrokhi D. G., M.
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CENTRAL EXTENSIONS AND COMMUTATIVITY DEGREE

Communications in Algebra, 2001
In this paper, we shall determine, up to isomorphism, all finite groups G with commutativity degree d(G) greater than or equal to ½.
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Subpolygroup commutativity degree of finite extension polygroup

International Journal of Algebra and Computation
In this paper, we consider finite extension polygroups as a special class of polygroups to study probabilistic polygroup theory. In this regard, we study the subpolygroup lattice of the extension polygroups. By using the results of the subpolygroup lattice, we obtain an explicit formula for the subpolygroup commutativity degree of the extension ...
Madeleine Al-Tahan, Bijan Davvaz, P. Harikrishnan, Pallavi Pallavi   +3 more
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Methods for Computing the Concurrency Degree of Commutation Monoids

2000
Mazurkiewicz proposed trace monoids to model syntactically concurrent processes. A commutation system is an action alphabet A together with a binary relation θ. Whenever (a, b) ∈ θ, the actions a and b are not causally related and, therefore, they are allowed to commute.
Saheb-Djahromi, Nasser, Zemmari, Akka
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Degree four identities not implied by commutativity

Communications in Algebra, 1988
We classify all (reducible or irreducible) degree four identities not implied by commutativlty, thus extending [1]. We study one class under the presence of an idempotent. For almost all the algebras of this class, simplicity implies associativity; we find, however, a generalization of right alternativity which contains significant algebras, including ...
CARINI, Luisa, I. R. HENTZEL, G. M. PIACENTINI CATTANEO   +2 more
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RELATIVE COMMUTATIVITY DEGREE OF A SUBPOLYGROUP OF A FINITE POLYGROUP

Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Al Tahan, B. Davvaz, A. Cristina Sonea   +2 more
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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.
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The generalized commutativity degree in a finite group.

2009
Summary: Extending the notion of probability of commuting pairs [\textit{P. Erdős} and \textit{P. Turán}, Acta Math. Acad. Sci. Hung. 19, 413-435 (1968; Zbl 0235.20004); \textit{R. M. Guralnick} and \textit{G. R. Robinson}, J. Algebra 300, No. 2, 509-528 (2006; Zbl 1100.20045); \textit{W. H. Gustafson}, Am. Math. Mon.
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Commutative distance degree-regular graphs

Discrete Applied Mathematics
Cristian M. Conde, Ezequiel Dratman, Veronica A. Moyano, Adrián Pastine   +3 more
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A note on subgroup commutativity degrees of finite groups

Quaestiones Mathematicae, 2019
Marius Tarnauceanu
exaly