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Certain Direct Products of the Groups of Self-Isometries

✍ Scribed by G. A. Miller


Book ID
123669029
Publisher
National Academy of Sciences
Year
1942
Tongue
English
Weight
180 KB
Volume
28
Category
Article
ISSN
0027-8424

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We show that the automorphism group of a locally finite tree is discrete, or pro-finite, or not the inverse limit of an inverse system of discrete groups, and provide necessary and sufficient conditions for each of these possibilities to occur. More generally, we demonstrate that for certain proper