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

"Encyclopaedia Britannica, 11th Edition, 'Groups, Theory of' to 'Gwyniad'" by Various is a publication that explores the world of mathematical groups at the beginning of the 1900s. The section is all about group theory, providing precise explanations, how these groups work, and special things about continuous and discontinuous groups. It starts by explaining what a group is, describing it as a collection of operations done on objects. The reading focuses on how operations relate to their opposites and introducing ideas like subgroups and conjugate operations. It gives examples that move into types of groups, like the big distinction between finite and infinite collections. This builds towards more detailed discussions of groups and how they are used in math.