Results 261 to 270 of about 19,002,772 (320)

Direct Cancellation of Finite Groups

Algebra Colloquium, 2005
We prove that if F is a finite group, and G and H are finitely generated groups with finite commutator subgroups for which F × G ≃ F × H, then G ≃ H.
Fransman, Andrew, Witbooi, Peter
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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, Sorin Radulescu, George C. Turcas   +2 more
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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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Introducing the Chiral Transient Directing Group Strategy to Rhodium(III)-Catalyzed Asymmetric C-H Activation.

Chemistry, 2019
The chiral transient directing group (TDG) strategy has been successfully introduced to the rhodium(III)-catalyzed asymmetric C-H activation. In the presence of a catalytic amount of a chiral amine and an achiral rhodium catalyst, various chiral ...
Guozhu Li, Jijun Jiang, Hui Xie, Jun Wang   +3 more
semanticscholar   +1 more source

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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Cascade π-Extended Decarboxylative Annulation Involving Cyclic Diaryliodonium Salts: Site-Selective Synthesis of Phenanthridines and Benzocarbazoles via a Traceless Directing Group Strategy.

Organic Letters, 2019
A novel cascade π-extended decarboxylative annulation (PEDA) involved with cyclic diaryliodonium salts is described. Via fine-tuning of the reaction conditions, the Pd(II)-catalyzed site-selective N1/C2 or C2/C3 annulation of commercially available ...
Zenghui Ye, Yong Li, Kai Xu, N. Chen, Fengzhi Zhang   +4 more
semanticscholar   +1 more source

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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Chameleon-like Behavior of the Directing Group in the Rh(III)-Catalyzed Regioselective C–H Amidation of Indole: An Experimental and Computational Study

ACS Catalysis, 2019
The Rh(III)-catalyzed regioselective C–H amidation of N-methoxy-1H-indole-1-carboxamides by 1,4,2-dioxazol-5-ones was studied.
Jinquan Zhang, Hujun Xie, Huajian Zhu, Shuaizhong Zhang, Madhava Reddy Lonka, H. Zou   +5 more
semanticscholar   +1 more source

Palladium-Catalyzed Direct Ortho-C-H Selenylation of Benzaldehydes Using Benzidine as a Transient Directing Group.

Organic Letters, 2019
Benzidine was found to be a novel transient directing group to enable Pd-catalyzed direct selenylation of inert C(sp2)-H bonds of benzaldehydes. Diverse diarylselenides were readily constructed in high efficiency and satisfactory yields with good ...
Huihao Qiao, Bingfeng Sun, Qinqin Yu, Yiyong Huang, Yirong Zhou, Fang-Lin Zhang   +5 more
semanticscholar   +1 more source

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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