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The Small Index Property for Free Groups and Relatively Free Groups
Author(s) -
Bryant Roger M.,
Evans David M.
Publication year - 1997
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610796004711
Subject(s) - property (philosophy) , index (typography) , rank (graph theory) , mathematics , group (periodic table) , free group , countable set , pure mathematics , combinatorics , computer science , physics , philosophy , epistemology , world wide web , quantum mechanics
1. Some groups with the small index property In this paper we shall use the methods of the paper [ 6 ] by Hodges, Hodkinson, Lascar and Shelah to show that the free group of countably infinite rank and certain relatively free groups of countably infinite rank have the small index property.