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On the Automorphism Group of Direct Products of Groups with Finite Exponent

The American Mathematical Monthly, 2021
We study the direct product of the automorphism groups of a finite number of groups. This is always isomorphic to a subgroup of the automorphism group of the direct product of the initial groups an...
Dorin Andrica   +2 more
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Direct gauging of the Poincar� group

International Journal of Theoretical Physics, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a direct sum of irreducible groups

Mathematical Notes, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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TEST ELEMENTS IN DIRECT PRODUCTS OF GROUPS

International Journal of Algebra and Computation, 2000
We characterize test elements in the commutator subgroup of a direct product of certain groups in terms of test elements of the factors. This provides explicit examples of test elements in direct products whose factors are free groups or surface groups and a tool for doing the same for torsion free hyperbolic factors.
John C. O'Neill, Edward C. Turner
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Directoids and directed groups

Algebra Universalis, 1995
\textit{J. Ježek} and \textit{R. Quackenbush} [ibid. 27, No. 1, 49-69 (1990; Zbl 0699.08002)] have introduced directoids as groupoids corresponding exactly to up-directed posets (viz \(a \leq b\) iff \(ab = b\)). In this paper, this concept is further investigated, both in its own and in combination with an abelian group structure.
Gardner, B. J., Parmenter, M. M.
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ON DIRECT PRODUCTS OF ABELIAN GROUPS

Mathematics of the USSR-Sbornik, 1983
In this paper the author introduces a new notion — that of generalized slender abelian groups. The class of such groups is investigated and the role of this class in the study of direct products of arbitrary abelian groups is exhibited. Bibliography: 13 titles.
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On directed groups

Siberian Mathematical Journal, 1989
V. M. Kopytov, Z. I. Dimitrov
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On Direct Factors in Groups

Journal of the London Mathematical Society, 1960
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