THE SYLOW THEOREM AND ITS CONSEQUENCES

The aim of the paper is to present some problems and also some partial results mainly on groups and converse of langrage’s theorem with the help of Sylow theorems.in this paper we find different sylow sub-groups and deduce the normalizer of sylow subgroups. Key words: Finite group, the number of subgroups of prime power, index in a group  of the normalizer of any Sylow subgroups

Intuitionistic Fuzzy Programming Technique to Solve Multi- Objective Transportation Problem

This paper presents an explanation of the multi-objective-transportation problem (MOTP) via Fuzzy programming algorithm and the goods is to be transported from origin to destination. The time and cost of transportation from origin i to destination j were recorded. Here we-have considered MOTP with-intuitionistic fuzzy numbers and completed the problem in both ways. Therefore, the optimal compromise solution will remain same both the exponential and linear membership function. For the solution the membership functions are used for such a problem. LINDO statistical-software was used in the present facts analysis and is completed in two stages