Maximum Order of Periodic Outer Automorphisms of a Free Group
نویسندگان
چکیده
منابع مشابه
A Characterization of Periodic Automorphisms of a Free Group
Let 9 be an automorphism of finite order of a free group X. We characterise the action of 9 on X by showing that X has a free basis which is the disjoint union of finite subsets Sj, where if S,, ~ {uq, «,,..., uk) then u¡9 ~ ul+x (0 < 1 < k) and uk9 = AjUqBj for some A}, B¡ in X and e = ±1. As an application of this result, we obtain a list of the conjugacy classes of periodic automorphisms of ...
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Let W be a variety of groups defined by a set W of laws and G be a finite p-group in W. The automorphism α of a group G is said to bea marginal automorphism (with respect to W), if for all x ∈ G, x−1α(x) ∈ W∗(G), where W∗(G) is the marginal subgroup of G. Let M,N be two normalsubgroups of G. By AutM(G), we mean the subgroup of Aut(G) consistingof all automorphisms which centralize G/M. AutN(G) ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2000
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8074