springer berlin springer international publishing birkhäuser jun 2017 (1 results)

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book gives a thorough and entirely self-contained, in-depth introduction to a specificapproach to group theory, in a large sense of that word. Thefocus lieon the relationships which a group may have with other groups,via 'universal properties', a view on that group 'from the outside'.This method of categorical algebra, is actually not limited to the study of groupsalone, but applies equally well to other similar categories of algebraic objects.By introducingprotomodular categories and Mal'tsev categories, which form a larger class, thestructural properties of the category Gp of groups, showhow they emerge from four very basic observations about the algebraic litteral calculus andhow, studied for themselves at the conceptual categorical level, they lead to the main striking features of the category Gp of groups.Hardly any previous knowledge of category theory is assumed, and just a littleexperience with standard algebraic structures such as groups and monoids. Examples and exercises help understanding the basicdefinitions and results throughout the text. 106 pp. Englisch.