Topics In Group Theory Research Articles

Certain combinatorial topics in group theory

‎This article is intended to be a survey on some combinatorial topics in group theory‎. ‎The bibliography at the end is neither claimed to be exhaustive‎, ‎nor is it necessarily connected with a reference in the text‎. ‎I include it as I see it revolves around the concepts which are discussed in the text‎.

Topics in group theory

Topics in group theory

Group Theory in Nonlinear Problems: Lectures presented at the NATO Advanced Study Institute on Mathematical Physics held in Istanbul, Turkey, 7–18 August 1972

A O Barut (ed) Dordrecht: D Reidel 1974 pp 281 price Dfl 65 This volume contains a collection of lectures by a number of authors on various topics in group theory applied to modern theoretical physics. There are lectures by R Penrose on relativistic symmetry groups (the orthogonal, conformal BMS groups and twistor theory), by M Carmelie on the role played by SL(2,4) in general relativity, by M Halpern and S Malin on the problem of classifying coordinate systems in Riemannian space-time, by H Tilgner on the theory of symmetric spaces and their use in relativity and quantum theories, by W Ruhl on analytic representations of Lie groups, by B Gruler on the subalgebras of the Lie algebra of SO(7), by A Barut on the use of the conformal group as an internal and external symmetry to obtain a mass spectrum in hadron physics, and finally by P Zweifel on nonlinear transport theory.

Historically Speaking,—: The evolution of group theory

Now that the value of group theory in theoretical physics, chemistry, electrical engineering, and electronic computing machines is being realized [8],† it is of interest to look at the origins of group theory. This paper will be concerned only with a résumé of the significant contributions of earlier investigators through the nineteenth century. There are disagreements among the historical authorities as to who originated certain specific topics in group theory, but for the most part there is a uniformity of opinion.