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Test Words for Automorphisms of Free Groups
Author(s) -
Turner Edward C.
Publication year - 1996
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/28.3.255
Subject(s) - endomorphism , mathematics , automorphism , free group , finitely generated abelian group , property (philosophy) , pure mathematics , group (periodic table) , epistemology , philosophy , chemistry , organic chemistry
We characterize words in a finitely generated free group with the property that any endomorphism fixing them is necessarily an automorphism. They are those words not contained in proper retracts.