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＜電子ブック＞
Exercises in Abelian Group Theory / by D. Valcan, C. Pelea, C. Modoi, S. Breaz, Grigore Calugareanu
(Texts in the Mathematical Sciences ; 25)

版	1st ed. 2003.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2003
本文言語	英語
大きさ	XII, 351 p. 1 illus : online resource
著者標目	*Valcan, D author Pelea, C author Modoi, C author Breaz, S author Calugareanu, Grigore author SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Topological groups LCSH:Lie groups LCSH:Algebra, Homological LCSH:Algebra FREE:Group Theory and Generalizations FREE:Topological Groups and Lie Groups FREE:Category Theory, Homological Algebra FREE:Order, Lattices, Ordered Algebraic Structures
一般注記	1 Basic notions -- 2 Divisible groups -- 3 Pure subgroups -- 4 Topological groups -- 5 Algebraically compact groups -- 6 Homological methods -- 7 p-groups -- 8 Torsion-free groups -- 9 Mixed groups -- 10 Subgroup lattices of groups -- 1 Basic notions -- 2 Divisible groups -- 3 Pure subgroups -- 4 Topological groups -- 5 Algebraically comact groups -- 6 Homological methods -- 7 p-groups -- 8 Torsion-free groups -- 9 Mixed groups -- 10 Subgroup lattices of groups This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac­ ulty of Mathematics and Computer Science,'Babes-Bolyai' University in Cluj-Napoca, Romania. From 1992,these lectures were extended to a twosemester electivecourse on abelian groups for undergraduate stu­ dents, followed by a twosemester course on the same topic for graduate students in Algebra. All the other authors attended these two years of lectures and are now Assistants to the Chair of Algebra of this Fac­ ulty. The first draft of this collection, including only exercises solved by students as home works, the last ten years, had 160pages. We felt that there is a need for a book such as this one, because it would provide a nice bridge between introductory Abelian Group Theory and more advanced research problems. The book InfiniteAbelianGroups, published by LaszloFuchsin two volumes 1970 and 1973 willwithout doubt last as the most important guide for abelian group theorists. Many exercises are selected from this source but there are plenty of other bibliographical items (see the Bibliography) which were used in order to make up this collection. For some of the problems stated, recent developments are also given. Nevertheless, there are plenty of elementary results (the so called 'folklore') in Abelian Group Theory whichdo not appear in any written material. It is also one purpose of this book to complete this gap HTTP:URL=https://doi.org/10.1007/978-94-017-0339-0

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