This ebook, in a few feel, started to be written by means of the 1st writer in 1983, whilst not obligatory lectures on Abelian teams have been held on the Fac ulty of arithmetic and machine Science,'Babes-Bolyai' collage in Cluj-Napoca, Romania. From 1992,these lectures have been prolonged to a twosemester electivecourse on abelian teams for undergraduate stu dents, by means of a twosemester direction at the comparable subject for graduate scholars in Algebra. the entire different authors attended those years of lectures and at the moment are Assistants to the Chair of Algebra of this Fac ulty. the 1st draft of this assortment, together with basically routines solved by means of scholars as domestic works, the final ten years, had 160pages. We felt that there's a desire for a publication corresponding to this one, since it would supply a pleasant bridge among introductory Abelian workforce thought and extra complex examine difficulties. The booklet InfiniteAbelianGroups, released via LaszloFuchsin volumes 1970 and 1973 willwithout doubt final because the most crucial consultant for abelian workforce theorists. Many routines are chosen from this resource yet there are many different bibliographical goods (see the Bibliography) which have been utilized in order to make up this assortment. For many of the difficulties said, fresh advancements also are given. however, there are many uncomplicated effects (the so known as 'folklore') in Abelian staff thought whichdo now not look in any written fabric. it's also one goal of this booklet to accomplish this hole.
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