Results 91 to 100 of about 119,916 (247)

Root extraction in finite Abelian groups

open access: yesJournal of Computational Algebra
We formulate the Root Extraction problem in finite Abelian $p$-groups and then extend it to generic finite Abelian groups. We provide algorithms to solve them. We also give the bounds on the number of group operations required for these algorithms. We observe that once a basis is computed and the discrete logarithm relative to the basis is solved, root
Udvas Acharjee, M.S. Srinath
openaire   +2 more sources

A gap theorem for the ZL-amenability constant of a finite group [PDF]

open access: yesInternational Journal of Group Theory, 2016
It was shown in [A. Azimifard, E. Samei, N. Spronk, JFA 256 (2009)] that the ZL-amenability constant of a finite group is always at least~$1$, with equality if and only if the group is abelian. It was also shown in [A. Azimifard, E. Samei, N.
Yemon Choi
doaj  

Gorenstein simplices and the associated finite abelian groups

open access: yes, 1910
It is known that a lattice simplex of dimension $d$ corresponds a finite abelian subgroup of $(\mathbb{R}/\mathbb{Z})^{d+1}$. Conversely, given a finite abelian subgroup of $(\mathbb{R}/\mathbb{Z})^{d+1}$ such that the sum of all entries of each element ...
Tsuchiya, Akiyoshi
core  

Fuzzy Internal Direct Product

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2019
The purpose of this research is to show a constructive method for using known fuzzy groups as building blocks to form more fuzzy subgroups. As we shall describe employing this procedure with the fuzzy generating subgroups give us a large class of ...
L.N.M. Tawfiq
doaj  

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