Translation nets and fixed-point-free group automorphisms
نویسندگان
چکیده
منابع مشابه
Some Remarks on Commuting Fixed Point Free Automorphisms of Groups
In this article we will find necessary and sufficient conditions for a fixed point free automorphism (fpf automorphism) of a group to be a commuting automorphism. For a given prime we find the smallest order of a non abelian p-group admitting a commuting f...
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Article history: Received 10 June 2014 Available online xxxx Communicated by E.I. Khukhro
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We use the following rule of composition of automorphisms: if φ, ψ ∈ Aut(F2) and x ∈ F2 then φψ(x) = ψ(φ(x)). For x ∈ F2 denote by St(x) the stabilizer of x in Aut(F2). For a subset X of a group denote by 〈X〉 the subgroup generated by X. Denote [x, y] = x−1y−1xy, x = y−1xy. For g ∈ F2 denote by ĝ the automorphism induced by the conjugation by g: ĝ(x) = g−1xg, x ∈ F2. Let − : Aut(F2) → GL2(Z) be...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1990
ISSN: 0097-3165
DOI: 10.1016/0097-3165(90)90043-v