Results 141 to 150 of about 167,102,035 (280)
International Journal of Mathematics and Mathematical Sciences, 2003 Let p be a prime. It is shown that an automorphism α of an abelian p-group A lifts to any abelian p-group of which A is a homomorphic image if and only if α=π idA, with π an invertible p-adic integer.
S. Abdelalim, H. Essannouni
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ON AUTOMORPHISM GROUPS OF MATRICES
Prikladnaya diskretnaya matematika, 2010 Summary: In this paper we consider the groups of the left (right) automorphisms of matrices and their automorphism groups. Without loss of generality one can take square matrices over the ring of integers. For such a matrix, we suggest the notion of a quasiautomorphism and the correspondent notion of its quasiautomorphism group.
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Известия Иркутского государственного университета: Серия "Математика"One of the main derived objects of a given structure is its automorphism group, which shows how freely elements of the structure can be related to each other by automorphisms.
S.V. Sudoplatov
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Extended Symmetry of Higher Painlevé Equations of Even Periodicity and Their Rational Solutions
MathematicsThe structure of the extended affine Weyl symmetry group of higher Painlevé equations of N periodicity depends on whether N is even or odd. We find that for even N, the symmetry group A^N−1(1) contains the conventional Bäcklund transformations sj,j=1,…,N,
Henrik Aratyn +3 more
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Generation by Conjugate Elements of Finite Almost Simple Groups With a Sporadic Socle
Известия Иркутского государственного университета: Серия "Математика"We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms.
D. O. Revin, A. V. Zavarnitsine
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Automorphisms of transition systems
Моделирование и анализ информационных систем, 2007 A automorphism of transitions system is an isomorphism of a system oneself. In the article are showed, that every finite group may be embedded in a group of automorphisms of a certain transition system.
Yu. A. Belov
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On topological groups of monotonic automorphisms
Applied General TopologyWe study topological groups of monotonic automorphisms on a generalized ordered space L. We find a condition that is necessary and sufficient for the set of all monotonic automorphism on L along with the function composition and the topology of point ...
Raushan Buzyakova
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The group of automorphisms of a distributively generated near ring
, 1983 S. D. Scott has shown that the group of automorphisms of the near ring generated by the automorphisms of a given group is isomorphic to the automorphism group of the given group if that group’s automorphism is complete.
J. J. Malone
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Lattices With a Given Abstract Group of Automorphisms
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 1950 R. Frucht
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Bounded Automorphisms of Groups
Journal of Algebra, 1994 Let \(G\) be the fundamental group of a graph of groups (in the sense of Bass-Serre theory). Such a group has a natural length function and thus a corresponding notion of bounded subgroups and bounded automorphisms. The general result of this paper is that an automorphism of \(G\) is bounded if and only if it is induced by isomorphisms of vertex groups
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