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Home / Books / Encyclopaedia Britannica, 11th Edition, "Groups, Theory of" to "Gwyniad": Volume 12, Slice 6

Encyclopaedia Britannica, 11th Edition, "Groups, Theory of" to "Gwyniad": Volume 12, Slice 6

by Various

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This volume covers the section of the 11th edition of the Encyclopaedia Britannica that discusses the mathematical theory of groups. It provides a detailed account of the fundamental concepts of group theory, including the definition of a group as a set equipped with an operation satisfying certain axioms, and explores properties such as inverses and associativity. The text also distinguishes between continuous and discontinuous groups, elaborating on their different characteristics and applications. The early chapters establish the basic terminology and foundational principles necessary for understanding the wider implications of group structures in mathematics and science.

The publication is a scholarly reference work from the early 20th century, aimed at providing a comprehensive overview of mathematical concepts relevant to researchers and students. The volume is part of a larger encyclopaedic project, offering authoritative articles written by various contributors to support scientific and technical education during its period of publication.

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explanation will appear when the mouse pointer is moved over the marked passage. Sections in Greek will yield a transliteration when the pointer is moved over them, and words using diacritic characters in the Latin Extended Additional block, which may not display in some fonts or browsers, will display an unaccented version. Links to other EB articles: Links to articles residing in other EB volumes will be made available when the respective volumes are introduced online. THE ENCYCLOPÆDIA BRITANNICA A DICTIONARY OF ARTS, SCIENCES, LITERATURE AND GENERAL INFORMATION ELEVENTH EDITION Groups, Theory of to Gwyniad Articles in This Slice GROUPS, THEORY OF GUIDICCIONI, GIOVANNI GROUSE GUIDO OF AREZZO GROVE, SIR GEORGE GUIDO OF SIENA GROVE, SIR WILLIAM ROBERT GUIDO RENI GROVE GUIENNE GROZNYI GUIGNES, JOSEPH DE GRUB GUILBERT, YVETTE GRUBER, JOHANN GOTTFRIED GUILDFORD GRUMBACH, WILHELM VON GUILDHALL GRUMENTUM GUILFORD, BARONS AND EARLS OF GRÜN GUILFORD GRÜNBERG GUILLAUME, JEAN BAPTISTE CLAUDE EUGÈNE GRUNDTVIG, NIKOLAI FREDERIK SEVERIN GUILLAUME DE LORRIS GRUNDY, SYDNEY GUILLAUME DE PALERME GRUNDY, MRS GUILLAUME D’ORANGE GRUNER, GOTTLIEB SIGMUND GUILLEMOT GRÜNEWALD, MATHIAS GUILLOCHE GRUTER, JAN GUILLON, MARIE NICOLAS SYLVESTRE GRUYÈRE GUILLOTINE GRYNAEUS, JOHANN JAKOB GUILT GRYNAEUS, SIMON GUIMARÃES GRYPHIUS, ANDREAS GUIMARD, MARIE MADELEINE GUACHARO GUIMET, JEAN BAPTISTE GUACO GUINEA (Africa) GUADALAJARA (city of Mexico) GUINEA (gold coin) GUADALAJARA (province of Spain) GUINEA FOWL GUADALAJARA (city of Spain) GUINEA-WORM GUADALQUIVIR GÜINES GUADELOUPE GUINGAMP GUADET, MARGUERITE ÉLIE GUINNESS GUADIANA GUINOBATAN GUADIX GUIPÚZCOA GUADUAS GUIRAUD, ERNEST GUAIACUM GUISBOROUGH GUALDO TADINO GUISE GUALEGUAY GUISE, HOUSE OF GUALEGUAYCHÚ GUITAR GUALO, CARDINAL GUITAR FIDDLE GUAM GUITRY, LUCIEN GERMAIN GUAN GUIZOT, FRANÇOIS PIERRE GUILLAUME GUANABACOA GUJARAT GUANACO GUJARATI and RAJASTHANI GUANAJAY GUJRANWALA GUANAJUATO (state of Mexico) GUJRAT GUANAJUATO (city of Mexico) GULA GUANCHES GULBARGA GUANIDINE GULF STREAM GUANO GULFWEED GUANTA GULL, SIR WILLIAM WITHEY GUANTÁNAMO GULL GUARANA GULLY, JOHN GUARANIS GULPÁÏGÁN GUARANTEE GUM GUARATINGUETÁ GÜMBEL, KARL WILHELM VON GUARDA GUMBINNEN GUARDI, FRANCESCO GUMBO GUARDIAN GUMTI GUARDS, and HOUSEHOLD TROOPS GUMULJINA GUARD-SHIP GUMUS GUÁRICO GÜMÜSH-KHANEH GUARIENTO GUN GUARINI, CAMILLO-GUARINO GUNA GUARINI, GIOVANNI BATTISTA GUNCOTTON GUARINO GUNDULICH, IVAN GUARINO [GUARINUS] DA VERONA GUNG’L, JOSEF GUARNIERI GUNNER GUASTALLA GUNNING, PETER GUATEMALA (republic) GUNNY GUATEMALA (city of Guatemala) GUNPOWDER GUATOS GUNPOWDER PLOT GUATUSOS GUN-ROOM GUAVA GUNTER, EDMUND GUAYAMA GÜNTHER, JOHANN CHRISTIAN GUAYAQUIL GÜNTHER OF SCHWARZBURG GUAYAS GUNTRAM GUAYCURUS GUNTUR GUAYMAS GUPTA GUBBIO GURA, EUGEN GUBEN GURDASPUR GUBERNATIS, ANGELO DE GURGAON

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