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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
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.