Project Gutenberg 2011-12-14 Public domain in the USA. 1226 Various Verschillende Various, Various Encyclopaedia Britannica, 11th Edition, "Groups, Theory of" to "Gwyniad" Volume 12, Slice 6 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.) Reading ease score: 58.7 (10th to 12th grade). Somewhat difficult to read. en Encyclopedias and dictionaries AE Text Browsing: Encyclopedias/Dictionaries/Reference Category: Mathematics Category: Encyclopedias/Dictionaries/Reference 1325710 2025-06-15T14:09:56.546437 text/html 1334841 2011-12-14T12:38:16 text/html; charset=iso-8859-1 1397565 2011-12-14T12:38:36 text/html; charset=iso-8859-1 application/zip 1517462 2025-06-15T14:10:18.695364 application/epub+zip 1539257 2025-06-15T14:10:02.832395 application/epub+zip 577568 2025-06-15T14:10:00.326413 application/epub+zip 2039036 2025-06-15T14:10:29.318315 application/x-mobipocket-ebook 1970060 2025-06-15T14:10:16.679351 application/x-mobipocket-ebook 824499 2022-09-17T13:11:19.722426 application/x-mobipocket-ebook 1192287 2025-06-15T14:09:53.909475 text/plain; charset=us-ascii 1190371 2011-12-14T12:38:14 text/plain; charset=iso-8859-1 463524 2011-12-14T12:38:36 text/plain; charset=iso-8859-1 application/zip 1191056 2011-12-14T12:38:34 text/plain; charset=us-ascii 462140 2011-12-14T12:38:36 text/plain; charset=us-ascii application/zip 19442 2025-06-15T14:10:29.502273 application/rdf+xml 24250 2025-06-15T14:10:01.020447 image/jpeg 4586 2025-06-15T14:10:00.675429 image/jpeg 1493959 2025-06-15T14:09:56.714459 application/octet-stream application/zip Archives containing the RDF files for *all* our books can be downloaded at https://book.klll.cc/wiki/Gutenberg:Feeds#The_Complete_Project_Gutenberg_Catalog