Abstract: Let G be a group acting transitively on a set X, where |X|= n . Higman (1964) showed that if G is of rank 3 and degree n = k² +1, where k is the length of of a , x X then n = 5 ,10, and 50.  He further show that such groups of degrees 5, 10 and 50 exist namely

1. The dihedral group D₅ of order 10 has such a representation of degree 5,
2. The alternating group A₅ and the symmetric group S₅ on 5 points acting on the set of unordered pairs of distinct points provide examples of degree 10,
3. has rank 3 representation of degree 50 of this kind, as does the group obtained from it by adjoining the field automorphism. Degree 3250 remains undecided.

In this project we shed more light on the groups in parts (i) and (ii).  We study the subdegrees, suborbital graphs and intersection matrices corresponding to the representations of these groups.  Properties of the suborbital graphs and intersection matrices associated with these representations will also be investigated.
Title:ACTION OF THE DIHEDRAL GROUP D₅ ON X= {1,2,3,4,5}
Author:CHEPKORIR BETTY
ISSN 2394-9651
International Journal of Novel Research in Physics Chemistry & Mathematics
Novelty Journals

Abstract:In this paper, we show how the method of Horace can be used to prove maximal rank hypothesis in PⁿThis can be useful in finding generators of the homogeneous ideals in Pⁿ results which can be applied in the proof of the minimal resolution conjecture.
Keywords:method of Horace, ideal of general points, minimal free resolutions.
Title:On the method of Horace for free resolutions in Pⁿ
Author:B. Owino
ISSN 2394-9651
International Journal of Novel Research in Physics Chemistry & Mathematics
Novelty Journals

Abstract:The Indian stock market has a long history and a significant place in the global market. It is known that performances of Indian stock market affect the nearby share markets as well as the far away markets. The Bombay Stock Exchange (BSE), one of the largest stock markets of the world, is the first Indian stock market exchange. As such predictions on BSE were immense interest of the investors. Hence, the S&P BSE Sensex index, which measures the performances of top 30 listed companies of the exchange, was one of the main interests of researchers. According to literature, Fundamental analysis, Technical analysis and Artificial Neural Network were applied on forecasting BSE Sensex. Among the tested model, the Auto Regressive Integrated Moving Average (ARIMA) model is identified as a highly successful technique for the purpose. Yet academicians have highlighted some major weaknesses of the model. The Sama Circular Model (SCM) is a univariate forecasting technique. Literature revealed that the SCM is capable in overcoming those weaknesses. Therefore the study is focused to; test the SCM and ARIMA on forecasting S&P BSE Sensex index and compare the forecasting ability of them.
Keywords:Index, Technical Analysis, Forecasting, ARIMA, Sama Circular Model.
Title:Sama Circular Model and ARIMA on Forecasting BSE Sensex
Author:DR. W. G. Samanthi Konarasinghe
ISSN 2394-9651
International Journal of Novel Research in Physics Chemistry & Mathematics
Novelty Journals