Topics in algebra : proceedings, 18th Summer research institute of the Australian mathematical society, Australian national university, Canberra, January 9 - February 17, 1978 / M. F. Newman
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 697Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1978ISBN: 9783540091035.ISSN: 1617-9692.Sujet MSC : 13-06, Proceedings, conferences, collections, etc. pertaining to commutative algebra15-06, Proceedings, conferences, collections, etc. pertaining to linear algebra
16-06, Proceedings, conferences, collections, etc. pertaining to associative rings and algebrasEn-ligne : Springerlink
From the introduction: "The Summer Research Institute of the Australian Mathematical Society is an annual event held each (southern hemisphere) summer with the aim of providing stimulus and opportunity for research in mathematics. The main theme for the 18th SRI (1978) was algebra. A number of leading algebraists from overseas, with diverse interests within algebra, were invited to participate and help formulate a view of current directions in research in algebra and the role of algebra and algebraic research both within mathematics and as related to other disciplines. As well, a number of other leading overseas and Australian mathematicians were invited to contribute lectures or organize and participate in splinter groups. These proceedings consist, in the main, of those invited lectures and splinter group talks in algebra which are not otherwise available (and for which manuscripts were received).''
Table of Contents: M. F. Newman, Introduction (p. iii); List of participants (pp. v-vi); List of lectures (pp. vii-ix); Robert B. Howlett, Extending characters from normal subgroups (pp. 1–7); N. Jacobson, Some recent developments in the theory of algebras with polynomial identities (pp. 8–46); Irving Kaplansky, Five the orems on abelian groups (pp. 47–51); Irving Reiner, Integral representations: genus, K-theory and class groups (pp. 52–69); Irving Reiner, Integral representations of cyclic p-groups (pp. 70–87); Phillip Schultz, Annihilator classes of torsion-free abelian groups (pp. 88–94); Charles C. Sims, The role of algorithms in the teaching of algebra (pp. 95–107); Charles C. Sims, Some group-theoretic algorithms (pp. 108–124); Charles C. Sims, A method for constructing a group from a subgroup (pp. 125–136); G. E. Wall, Lie methods in group theory (pp. 137–173); G. E. Wall, Commutator collection and module structure (pp. 174–196); William H. Wilson, Induced representations of Lie algebras (pp. 197–204); L. G. Kovács, Varieties of nilpotent groups of small class (pp. 205–229).
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