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Symmetric Automorphisms of Free Products
Darryl McCullough
Andy Miller
出版
American Mathematical Soc.
, 1996
主題
Mathematics / General
Mathematics / Algebra / General
Mathematics / Group Theory
ISBN
0821804596
9780821804599
URL
http://books.google.com.hk/books?id=GXTTCQAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
The authors construct a complex [italic capital]K([italic capital]G) on which the automorphism group of [italic capital]G acts and use it to derive finiteness consequences for the group [capital Greek]Sigma [italic]Aut([italic capital]G). They prove that each component of [italic capital]K([italic capital]G) is contractible and describe the vertex stabilizers as elementary constructs involving the groups [italic capital]G[subscript italic]i and [italic]Aut([italic capital]G[subscript italic]i).