02064cam a22003013u 4500 38304 UtSlPG 20260610133855.0 m cr n 260607r2011||||utu|||||o|||||||||||||| d UtSlPG en iso639-1 AE Various Encyclopaedia Britannica, 11th Edition, "Groups, Theory of" to "Gwyniad" : Volume 12, Slice 6 Salt Lake City, UT : Project Gutenberg, 2011 1 online resource : multiple file formats text txt rdacontent computer c rdamedia online resource cr rdacarrier Release date is 2011-12-14 Produced by Marius Masi, Don Kretz and the Online Distributed Proofreading Team at http://www.pgdp.net "Encyclopaedia Britannica, 11th Edition, 'Groups, Theory of' to 'Gwyniad'" by Various is a scientific publication written during the early 20th century. This segment of the encyclopaedia delves into the mathematical concept of groups, presenting a detailed examination of group theory, including definitions, operations, and particular characteristics of both continuous and discontinuous groups. At the start of this volume, the focus is on establishing the foundational concepts of group theory. It begins by defining a group as a set of operations that can be performed on a set of objects, highlighting the relationship between operations and their inverses, and introduces key terms such as subgroups and conjugate operations. The definitions are accompanied by algebraic notation and examples, transitioning seamlessly into discourse on various types of groups, including finite and infinite groups, ultimately setting the stage for more intricate discussions of specific groups and their mathematical implications. (This is an automatically generated summary.) Original publication data not identified Encyclopedias and dictionaries https://www.gutenberg.org/ebooks/38304 79143 79143