Results 71 to 80 of about 17,115,327 (210)

The Gaussian Sequence 3th Order Mod m

Communications in Advanced Mathematical Sciences
The work addresses the study of third-order recurrent sequences for mod m cases. Thus, some definitions aim to transform infinite sequences into finite ones.
Francisco Regis Alves, Renata Teófilo De Sousa, Renata Vieira   +2 more
doaj   +1 more source

Characterization of A5 and PSL(2,7) by sum of elements orders [PDF]

International Journal of Group Theory, 2013
Let $G$ be a finite group. We denote $psi(G)=sum_{gin G}o(g)$ where $o(g)$ denotes the order of $g in G$. Here we show that $psi(A_5)< psi(G)$ for every nonsimple group $G$ of order 60. Also we prove that $psi(PSL(2,7))groups $G$ of order 168.
Seyyed Majid Jafarian Amiri
doaj  

Products of Finite Connected Subgroups

Mathematics, 2020
For a non-empty class of groups L, a finite group G=AB is said to be an L-connected product of the subgroups A and B if 〈a,b〉∈L for all a∈A and b∈B. In a previous paper, we prove that, for such a product, when L=S is the class of finite soluble groups ...
María Pilar Gállego, Peter Hauck, Lev S. Kazarin, Ana Martínez-Pastor, María Dolores Pérez-Ramos   +4 more
doaj   +1 more source

Finite p′-nilpotent groups. II

International Journal of Mathematics and Mathematical Sciences, 1987
In this paper we continue the study of finite p′-nilpotent groups that was started in the first part of this paper. Here we give a complete characterization of all finite groups that are not p′-nilpotent but all of whose proper subgroups are p′-nilpotent.
S. Srinivasan
doaj   +1 more source

Finite p′-nilpotent groups. I

International Journal of Mathematics and Mathematical Sciences, 1987
In this paper we consider finite p′-nilpotent groups which is a generalization of finite p-nilpotent groups. This generalization leads us to consider the various special subgroups such as the Frattini subgroup, Fitting subgroup, and the hypercenter in ...
S. Srinivasan
doaj   +1 more source

Rational subsets of finite groups [PDF]

International Journal of Group Theory, 2014
We characterize the rational subsets of a finite group and discuss the relations to integral Cayley graphs.
Roger Alperin
doaj  

Maximal subgroups of finite groups

International Journal of Mathematics and Mathematical Sciences, 1990
In finite groups maximal subgroups play a very important role. Results in the literature show that if the maximal subgroup has a very small index in the whole group then it influences the structure of the group itself.
S. Srinivasan
doaj   +1 more source

Power Graphs of Finite Groups Determined by Hosoya Properties. [PDF]

Entropy (Basel), 2022
Ali F, Rather BA, Din A, Saeed T, Ullah A.   +4 more
europepmc   +1 more source

$N$-recognizability of Groups $ Alt_p\times Alt_5$,\\ Where $p>1361$ Is a Prime Number

Известия Иркутского государственного университета: Серия "Математика"
$N$-recognizability of Groups $ Alt_p\times Alt_5$, Where $p>1361$ Is a Prime Number} Given a finite group $L$, let $N(L)$ denote the set of its conjugacy class sizes.
I. B. Gorshkov, V. D. Shepelev
doaj   +1 more source

On residuals of finite groups

, 2017
A theorem of Dolfi, Herzog, Kaplan, and Lev \cite[Thm.~C]{DHKL} asserts that in a finite group with trivial Fitting subgroup, the size of the soluble residual of the group is bounded from below by a certain power of the group order, and that the ...
Aivazidis, Stefanos, Mueller, Thomas
core