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Automorphisms of Graph Products of Groups and Acylindrical Hyperbolicity
Memoirs of the American Mathematical Society, 2018This article is dedicated to the study of the acylindrical hyperbolicity of automorphism groups of graph products of groups. Our main result is that, if Γ \Gamma is a finite graph which contains at least two vertices and is not a join and if
A. Genevois
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Infinite generation of automorphism groups of free pro-p groups
Siberian Mathematical Journal, 1993The author considers the automorphism group of a free pro-\(p\) group as well as the automorphism group of a free profinite group \(F_ n\). The results concern uniformly saturated pro-\(p\) groups. It is proved that if \(G_ 0\) is a saturated pro-\(p\) group, then the completed group algebra \(\widehat {S} =Z/_ p Z[[G_ 0]]\) satisfies the maximal ...
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Group factorisations, uniform automorphisms, and permutation groups of simple diagonal type
Israel Journal of Mathematics, 2018We present a new proof, which is independent of the finite simple group classification and applies also to infinite groups, that quasiprimitive permutation groups of simple diagonal type cannot be embedded into wreath products in product action.
Cheryl E. Praeger, Csaba Schneider
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An infinite family of braid group representations in automorphism groups of free groups
Journal of Knot Theory and Its Ramifications, 2020The [Formula: see text]-fold ([Formula: see text]) branched coverings on a disk give an infinite family of nongeometric embeddings of braid groups into mapping class groups. We, in this paper, give new explicit expressions of these braid group representations into automorphism groups of free groups in terms of the actions on the generators of free ...
Chang, Wonjun +2 more
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The Automorphism Group of a Class of Nilpotent Groups with Infinite Cyclic Derived Subgroups
Acta Mathematica Sinica, English Series, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, He Guo +2 more
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Artinian automorphisms of infinite groups
2006An automorphism alpha of a group G is called an artinian automorphism if for every strictly descending chain H_1 > H_2 > ... > H_n > ... of subgroups of G there exists a positive integer m such that (H_n)^alpha = H_n for every n>m. In this paper we show that in many cases the group of all artinian automorphisms of G coincides with the group of all ...
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A note on automorphism groups of countably infinite structures
Archiv der Mathematik, 1987Let \(\Omega\) be a countably infinite set. A relation on \(\Omega\) is just a subset of \(\Omega\) k for some integer \(k\geq 0\). The author defines a subgroup of the symmetric group Sym(\(\Omega)\) to be closed if it consists of all permutations which leave invariant the relations in some given collection of relations.
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A Pansiot-type subword complexity theorem for automorphisms of free groups
Israel Journal of MathematicsA. Hilion, G. Levitt
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Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
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