Results 21 to 30 of about 4,706 (177)

The degree of commutativity of wreath products with infinite cyclic top group [PDF]

European Journal of Mathematics, 2022
The degree of commutativity of a finite group is the probability that two uniformly and randomly chosen elements commute. This notion extends naturally to finitely generated groups G: the degree of commutativity $${{\,\textrm{dc}\,}}_S(G)$$
Iker Heras, B. Klopsch, A. Zozaya
semanticscholar   +1 more source

Rational growth and degree of commutativity of graph products [PDF]

Journal of Algebra, 2017
Let G be an infinite group and let X be a finite generating set for G such that the growth series of G with respect to X is a rational function; in this case G is said to have rational growth with respect to X. In this paper a result on sizes of spheres (
Motiejus Valiunas
semanticscholar   +1 more source

FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE [PDF]

Bulletin of the Korean Mathematical Society, 2015
In this paper, we study the relation between two dynamical systems (V,f) and (V,g) with f. g = g . f. As an application, we show that an endomorphism (respectively a polynomial map with Zariski dense, of bounded Pre(f) has only finitely many endomorphisms (respectively polynomial maps) of bounded degree which are commutable with f.
Lee, Chong Gyu, Ye, Hexi
openaire   +2 more sources

Degree estimate for commutators

Journal of Algebra, 2009
18 ...
Drensky, V, Yu, JT
openaire   +4 more sources

Relative Commutativity Degree of Nonabelian Metabelian Groups of Order 32

Journal of Physics: Conference Series, 2021
A metabelian group is a group whose commutator subgroup is abelian. Similarly, a group G is metabelian if and only if there exists an abelian normal subgroup, A, such that the quotient group, G / A , is abelian.
N. Zakariah, N. M. Mohd Ali
semanticscholar   +1 more source

The Order Product Prime Probability and Commutativity Degree for Some Finite Groups

Malaysian journal of mathematical sciences, 2022
Statistical approach often provides techniques in exploring more on the algebraic properties of finite groups. In this paper, two new group probabilities are defined in which the group elements having certain common characteristics are considered.
N. M. Mohd Ali, S. I. Isah, M. Bello
semanticscholar   +1 more source

COMMUTING POWERS AND EXTERIOR DEGREE OF FINITE GROUPS [PDF]

Journal of the Korean Mathematical Society, 2012
to appear in the J. Korean Math. Soc.
Niroomand P, Rezaei R, Russo F
openaire   +2 more sources

The exact bounds for the degree of commutativity of a p-group of maximal class, I

, 2002
Let G be a p -group of maximal class. Since the pioneer work of Blackburn in 1958 (cf. [N. Blackburn, Acta Math. 100 (1958) 45–92]), several authors have obtained information about the degree of commutativity c of  G , in order to precise which the ...
A. Vera-López, J. M. Arregi, M. García-Sánchez, F. J. Vera-López, R. Esteban-Romero   +4 more
semanticscholar   +1 more source

On the Commutativity Degree of Finite Groups of Order via Degree Equation

African journal of mathematics and statistics studies
Commutativity degree is a numerical derivation that carries a lot of information about the structure of finite groups. It measures the extent to which two randomly selected non-identity elements of a group commute.
J. B. N., E. S., Hassan S. B., A. D.
semanticscholar   +1 more source

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

Advanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source