An essay on free products of groups with amalgamations
- 15 June 1954
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- Vol. 246 (919) , 503-554
- https://doi.org/10.1098/rsta.1954.0007
Abstract
Free products of groups with amalgamated subgroups, first introduced by Schreier (1927) and generalized by Hanna Neumann (1948), are here redefined, studied and applied to a number of problems in abstract group theory. The applications are mainly concerned with existence and embedding theorems. The first four chapters are self-contained, requiring little beyond the fundamentals of abstract group theory. Only in the last chapter is use made of theorems (Gruschko 1940; Kurosch 1934; Hanna Neumann 1949) which are not proved here.Keywords
This publication has 5 references indexed in Scilit:
- Simple Free ProductsJournal of the London Mathematical Society, 1953
- A Finitely Generated Infinite Simple GroupJournal of the London Mathematical Society, 1951
- Free Sums of Groups and Their Generalizations. An Analysis of the Associative LawAmerican Journal of Mathematics, 1949
- Free Loops and Nets and Their GeneralizationsAmerican Journal of Mathematics, 1947
- Die Untergruppen der freien Produkte von beliebigen GruppenMathematische Annalen, 1934