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Journal of the London Mathematical Society Advance Access originally published online on January 25, 2007
Journal of the London Mathematical Society 2007 75(1):146-162; doi:10.1112/jlms/jdl009
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© 2007 London Mathematical Society

On classification of inductive limits of direct products of alternating groups

Y. Lavrenyuk

Mechanics and Mathematics Faculty
Kyiv Taras Shevchenko University
Volodymyrska Str., 64
01033 Kyiv
Ukraine
ylavrenyuk{at}univ.kiev.ua

N. Nekrashevych

Department of Mathematics
Texas A&M University
College Station
TX 77843-3368
USA
nekrash{at}math.tamu.edu

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.

2000 Mathematics Subject Classification 20F50, 20E32 (primary), 46L80 (secondary).

Received February 27, 2006; published online January 25, 2007.


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