Nilpotency Indices of the Radicals of Finite p-Solvable Group Algebras, III

In [2], we have classified the p-solvable groups G with pm{ 2<t(G)<pm{ 1 for p odd, where t(G) is the nilpotency index of the (Jacobson) radical of k[G], k a field of characteristic p, and pm is the highest power of p dividing the order of G. In the paper cited above, we have given only an outline of the proof of the result for p = 3 ([2, Theorem 11]). The aim of this paper is to give the complete proof of part (1) in the theorem.Article信州大学理学部紀要 36(1): 1-8(2001)departmental bulletin pape

Modelling Underlying Energy Demand Trends and Stochastic Seasonality: An Econometric Analysis of Transport Oil Demand in the UK and Japan

This paper demonstrates the importance of adequately modelling the Underlying Energy Demand Trend (UEDT) and seasonality when estimating transportation oil demand for the UK and Japan. The structural time series model is therefore employed to allow for a stochastic underlying trend and stochastic seasonals using quarterly data from the early 1970s, for both the UK and Japan. It is found that the stochastic seasonals are preferred to the conventional deterministic dummies and, more importantly, the UEDT is found to be highly nonlinear for both countries, with periods where it is both upward and downward sloping.energy demand, stochastic trend model, unobservable underling trend, seasonality.

Nilpotency Indices of the Radicals of Finite p-Solvable Group Algebras, IV

In [2], we have classified the p-solvable groups G with pm{ 2<t(G)<pm{ 1 for p odd, where t(G) is the nilpotency index of the (Jacobson) radical of k[G], k a field of characteristic p, and pm is the highest power of p dividing the order of G. In the paper cited above, we have given only an outline of the proof of the result for p = 3 ([2, Theorem 11]). To complete the proof of the theorem, we need somewhat complicated calculation, and we have given in [3] and [4] two parts of such calculations. The aim of this paper is to give one more such calculation and complete the proof of the theorem.Article信州大学理学部紀要 36(1): 9-28(2001)departmental bulletin pape

Modelling Underlying Energy Demand Trends

Energy Demand Trends