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On classification of inductive limits of direct products of alternating groups
Author(s) -
Lavrenyuk Y.,
Nekrashevych N.
Publication year - 2007
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/jlms/jdl009
Subject(s) - mathematics , diagonal , dimension (graph theory) , simple (philosophy) , block (permutation group theory) , alternating current , pure mathematics , combinatorics , physics , geometry , quantum mechanics , power (physics) , philosophy , epistemology
Abstract We prove that simple inductive limits of direct products of alternating groups under block‐diagonal embeddings (also called LDA‐groups) are classified by the dimension groups of the corresponding Bratteli diagrams.