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Response to letter regarding enhancing the evidence for opioid-free anaesthesia in the elderly: a call for methodological clarity. [PDF]
Ann MedWei S, Ni C, Ni H.
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Procedural Parameters in Predicting Late Recurrence Following Catheter Ablation of Paroxysmal Atrial Fibrillation. [PDF]
J Clin MedXie Y, Hu X, Ma D, Zhang L, Huang Y.
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An Efficient Starch-Based Delivery System Ameliorates Naringin's Uptake to Mitigate Acrylamide-Induced Oxidative Stress in Mice. [PDF]
Antioxidants (Basel)Cao F +5 more
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Retrograde Intrarenal Renal Surgery versus Supine Mini Percutaneous Nephrolithotripsy in Treatment of Renal Pelvic Stones Less than 2 cm, Randomized Clinical Study. [PDF]
Urol Res PractAbdelgawad AH +5 more
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Primitivity in Free Groups and Free Metabelian Groups
Canadian Journal of Mathematics, 1992AbstractLet Mn, c denote the free n-generator metabelian nilpotent group of class c. For m ≤ n – 2, every primitive system of m elements of Mn, c can be lifted to a primitive system of m elements of the absolutely free group Fn of rank n. The restriction on m cannot be improved.
Gupta, C. K. +2 more
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International Journal of Algebra and Computation, 2004
This paper deals with the study of the free noncommutative group in the multiplicative group of the skewfield of the real Hamilton quaternions. The main results proved in this paper allows us to obtain the following interesting corollary: let G be a subgroup of rational quaternions. Then G is either solvable or contains the free noncommutative group.
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This paper deals with the study of the free noncommutative group in the multiplicative group of the skewfield of the real Hamilton quaternions. The main results proved in this paper allows us to obtain the following interesting corollary: let G be a subgroup of rational quaternions. Then G is either solvable or contains the free noncommutative group.
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Applied Categorical Structures, 2010
There is given a condition for the existence of free internal groups which generalizes and unifies known results.
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There is given a condition for the existence of free internal groups which generalizes and unifies known results.
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Canadian Mathematical Bulletin, 1981
We study the representations of an element of a free group as a commutator. For a given element g of a free group F, we are interested in the set of all pairs (x, y) of elements of F such that(1)where [x, y] = xyx-1 y-1. If g = 1, the problem is trivial. We assume henceforth that g ≠ 1.
Lyndon, R. C., Wicks, M. J.
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We study the representations of an element of a free group as a commutator. For a given element g of a free group F, we are interested in the set of all pairs (x, y) of elements of F such that(1)where [x, y] = xyx-1 y-1. If g = 1, the problem is trivial. We assume henceforth that g ≠ 1.
Lyndon, R. C., Wicks, M. J.
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