Some Results on Baer's Theorem
author
Abstract:
Baer has shown that, for a group G, finiteness of G=Zi(G) implies finiteness of ɣi+1(G). In this paper we will show that the converse is true provided that G=Zi(G) is finitely generated. In particular, when G is a finite nilpotent group we show that |G=Zi(G)| divides |ɣi+1(G)|d′ i(G), where d′i(G) =(d( G /Zi(G)))i.
similar resources
global results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Note on Some Results concerning Fermates Last Theorem
Let us suppose that the equation (1) x* + y + z = 0 is satisfied in integers prime to each other and that p is an odd prime. We shall divide the discussion into two parts. We shall refer to the case where xyz is prime to p as Case I, and to the case where xyz = 0 (mod p) as Case II. The present note will be confined to statements of new results obtained by the writer for both cases, without pro...
full textSome results on Noetherian semigroup
In this paper we study some results on Noetherian semigroups. We show that if $S_S$ is an strongly faithful $S$-act and $S$ is a duo weakly Noetherian, then we have the following.
full textSome Results on Equilibrium Distributions
The equilibrium distributions have many applications in reliability theory, stochastic orderings and random processes. The purpose of this paper is to introduce the equilibrium distributions and presents some results related to this issue. Some results are based on order statistics. In this paper, the generalized Pareto distributions are also analyzed and some basic relationships between t...
full textSome results on Bipolar Fuzzy Graph
In this paper, the notion ofgraph operationsdisjunction and symmetric difference on bipolar fuzzy graphs are defined and it is proved that the new graph is a bipolar graph. Furthermore,the new concepts of bipolar fuzzy graphs calledupperstrong and lower strongbipolar fuzzy graphare introduced and some related </...
full textSOME RESULTS ON INTUITIONISTIC FUZZY SPACES
In this paper we define intuitionistic fuzzy metric and normedspaces. We first consider finite dimensional intuitionistic fuzzy normed spacesand prove several theorems about completeness, compactness and weak convergencein these spaces. In section 3 we define the intuitionistic fuzzy quotientnorm and study completeness and review some fundamental theorems. Finally,we consider some properties of...
full textMy Resources
Journal title
volume 2 issue 2
pages 151- 155
publication date 2018-01-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023