A Group with Deep Pockets for All Finite Generating Sets

ارزیابی کمّی Porphyromonas Gingivalis قبل و بعد از درمان غیر جراحی پریودنتال در پاکت‌های عمیق بیماران مبتلا به پریودنتیت مهاجم

Statement of Problem: Elimination of porphyromonas gingivalis (p.g) from subgingival area in order to successfully treatment out comes in patients with Aggressive periodntitis AP is necessary. Purpose: The aim of this study was the evaluation of non-surgical treatment efficacy in reduction of bacterial population in deep pockets. Materials and Methods: In this randomized clinical trial study we...

Irredundant Generating Sets of Finite Nilpotent Groups

It is a standard fact of linear algebra that all bases of a vector space have the same cardinality, namely the dimension of the vector space over its base field. If we treat a vector space as an additive abelian group, then this is equivalent to saying that an irredundant generating set for a vector space must have cardinality equal to the dimension of the vector space. The same is not true for...

On Groups whose Geodesic Growth is Polynomial

This note records some observations concerning geodesic growth functions. If a nilpotent group is not virtually cyclic then it has exponential geodesic growth with respect to all finite generating sets. On the other hand, if a finitely generated group G has an element whose normal closure is abelian and of finite index, then G has a finite generating set with respect to which the geodesic growt...

Effect of Antimicrobial Photodynamic Therapy as an Adjunct to Nonsurgical Treatment of Deep Periodontal Pockets: A Clinical Study.

Introduction: Deep periodontal pockets pose a great challenge for nonsurgical periodontal treatment. Scaling and root planing (SRP) alone may not suffice in cases where surgical therapy cannot be undertaken. Various recent studies have suggested the use of antimicrobial Photodynamic Therapy (aPDT) for the management of periodontal infections. The aim of this study was to evaluate the effects of...

Finite Groups With a Certain Number of Elements Pairwise Generating a Non-Nilpotent Subgroup