Results 111 to 120 of about 263 (149)

Monte Carlo Based Techniques for Quantum Magnets with Long-Range Interactions. [PDF]

Entropy (Basel)
Adelhardt P, Koziol JA, Langheld A, Schmidt KP.   +3 more
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On automorphisms fixing infinite subgroups of groups

Archiv Der Mathematik, 1990
An automorphism of a group G is said to be a power automorphism if it maps every subgroup of G onto itself. The set PAut G of all power automorphisms of G is an abelian normal subgroup of the full automorphism group Aut G, whose properties were investigated by \textit{C. Cooper} [Math. Z. 107, 335-356 (1968; Zbl 0169.338)].
Francesco De Giovanni, De Giovanni F
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Quasi-power automorphisms of infinite groups

Communications in Algebra, 1993
A power automorphism of a group G is an automorphism fixing every subgroup of G. Power automorphisms have been studied by many authors, mainly by C.D.H. Cooper [2]. The set PAutG of all power automorphisms of a group G is a normal, abelian, residually finite subgroup of the full automorphism group AutG of G.
Giovanni Cutolo
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On central automorphisms of infinite groups

Communications in Algebra, 1994
Francesco De Giovanni, Silvana Franciosi   +1 more
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Infinite locally dihedral groups as automorphism groups

Ricerche di Matematica, 2014
It is well-known that there exist groups which cannot be realized as full automorphism group of any group, obvious examples being the (non-trivial) cyclic groups of odd order and (non-trivial) free groups. It was proved by \textit{D. J. S. Robinson} [Q. J. Math., Oxf. II. Ser.
CELENTANI, MARIA ROSARIA, LEONE, ANTONELLA, NICOTERA, Chiara   +2 more
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Automorphism Groups of Infinite Semilinear Orders (I)

Proceedings of the London Mathematical Society, 1989
Results are obtained concerning the automorphism groups of certain infinite semilinear orders. In particular, countable 2-homogeneous semilinear orders and certain generalizations are examined. It is shown that the automorphism group of such a structure has a unique largest proper normal subgroup, a unique smallest non-trivial normal subgroup, and \(2^{
Droste, M., Holland, W. C., Macpherson, H. D.   +2 more
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Infinite generation of automorphism groups

1989
Let G(n) be the free group of finite rank n in a variety V. Since 1982, it has been known that Aut G(n), the automorphism group of G(n), may not be finitely generated for certain n. But is it always true that Aut G(n) is finitely generated for all but a few number of dimensions n?
Seymour Bachmuth, H. Y. Mochizuki
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On the Automorphisms of Infinite Chevalley Groups

Canadian Journal of Mathematics, 1969
In (8, § 3.2) Steinberg proved the following result.THEOREM. Let K be a finite field, G′ a simple Chevalley group (“normal type1”) over K. Then every automorphism of G’ is the composite of inner, graph, field, and diagonal automorphisms.For the meaning of these notions, see (8).
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Normal Automorphisms of Free Groups of Infinitely Based Varieties

Mathematical Notes, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adian, S. I., Atabekyan, V. S.
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The Construction of Fields with Infinite Cyclic Automorphism Group

Canadian Journal of Mathematics, 1965
This paper deals with a problem raised in a paper by J. de Groot (1): Do there exist fields Ω whose full automorphism group is isomorphic to the additive group of integers Z?The answer to this question is yes. In this paper we construct, given any subfield k of the complex numbers, extension fields Ω of k such that the automorphism group G(Ω/k) of Ω ...
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