• Journal of the Chungcheong Mathematical Society
• /
• v.13 no.2
• /
• pp.71-79
• /
• 2001

We study only free actions of finite abelian groups G on the 3-dimensional nilmanifold, up to topological conjugacy. we shall deal with only one out of 15 distinct almost Bieberbach groups up to Seifert local invariant.

• Journal of the Chungcheong Mathematical Society
• /
• v.32 no.3
• /
• pp.365-381
• /
• 2019

We study free actions of finite nonabelian groups on 3-dimensional nilmanifolds with the first homology ${\mathbb{Z}}^2{\oplus}{\mathbb{Z}}_2$, up to topological conjugacy. We show that there exist three kinds of nonabelian group actions in ${\pi}_1$, two in ${\pi}_2$ or ${\pi}_{5,i}$(i = 1, 2, 3), one in the other cases, and clarify what those groups are.

• Korean Journal of Applied Biomechanics
• /
• v.14 no.1
• /
• pp.65-81
• /
• 2004

The purposes of this study were to determine the functions of actions of the limbs during each of the three support phases of the triple jump and their relationships with the performance of the triple jump. Four elite male triple jumpers were participated as subjects. The Pearson product moment correlation coefficient were used to determine and compare the relationships between the change in each component of the normalized angular momentum of the whole body about center of gravity and the actions of the extremities during different support phases. A level of significance at $\alpha$=.05 was set. After analyzing the angular momentum and correlation during support phase of the hop, step, and jump, the following findings are obtained: The actions of the arms created a side-somersaulting angular momentum about the whole body center of gravity toward the side of the free leg during the support phase of the step, and a somersaulting angular momentum about the whole body center of gravity during each support phase. The action of the free leg created a somersaulting angular momentum about the whole body center of gravity during the support phases of the hop and step.

• Journal of the Chungcheong Mathematical Society
• /
• v.14 no.2
• /
• pp.27-35
• /
• 2001

We shall deal with ten cases out of 15 distinct almost Bieberbach groups up to Seifert local invariant. In those cases we will show that if G is a finite abelian group acting freely on the standard nilmanifold, then G is cyclic, up to topological conjugacy.

• Journal of the Korean Mathematical Society
• /
• v.56 no.1
• /
• pp.285-287
• /
• 2019

• The Korean Journal of Pharmacology
• /
• v.22 no.2
• /
• pp.135-143
• /
• 1986

This study was designed to investigate the role of calcium in the function of an isolated perfused rabbit kidney and its effect on the diuretic action of furosemide. The administrations of hydralazine and verapamil produced remarkable diuretic actions mainly by decreasing renal resistance. The administration of furosemide in combination with hydralazine or verapamil produced remarkable diuretic action and there was no difference between the two groups. The administration of quinidine produced a diuretic action in spite of vasoconstriction and potentiated the diuretic action of furosemide. In the calcium-free perfusion medium, the administration of calcium produced a marked diuretic action in spite of vasoconstriction and potentiated significantly the diuretic action of furosemide. The administration of quinidine did not alter renal function and the diuretic action of furosemide, but the combined administration of quinidine and calcium showed antidiuretic effect due to excessive vasoconstriction in the calcium-free perfusion medium. Although the administration of verapamil produced a slight diuretic action in the calcium-free perfusion medium, verapamil did not alter the diuretic action of calcium as well as the diuretic actions of furosemide alone and in combination with calcium. The results of this experiment show that calcium, verapamil and quinidine produced diuretic actions and calcium potentiates the diuretic action of furosemide.

• Proceedings of the Computational Structural Engineering Institute Conference
• /
• 2002.10a
• /
• pp.3-10
• /
• 2002

Recently, arches are used structurally because of their high in-plane stiffness and strength, which result from their ability to transmit most of the applied loading by axial forces actions, so that the bending actions are reduced. On the other hand, the resistances of arches to (out-of-plane,) flexural-torsional behavior depend on the rigidities EI/sub y/, for lateral bending, GJ for Uniform torsion, and EI/sub w/ for warping torsion which are related to axial stress for flexural-torsional behavior. The resistance of an arch to out-of-plane behavior may be reduced by its in-plane curvature, and so it may require significant lateral bracing. Thus. it is supposed that In-plane preloading which cause an axial stress, have an effect on out-of-plane free vibration behavior of arches. Because axial stresses caused increase or decrease out-of-plane stiffness. But study about this substance is insufficient. In this thesis, We will study an effect of preloading on lateral free vibration of arches, using finite element method based on Kang and Yoo's curved beam theory (about curved beam element have 7 degree of freedom including warping) with FORTRAN programming.

• Journal of the Korean Mathematical Society
• /
• v.34 no.2
• /
• pp.453-467
• /
• 1997

A transitive permutation representation of a group G is said to be multiplicity-free if all of its irreducible constituents are distinct. The character corresponding to the action is called the permutation character, given by $(1_H)^G$, where H is the stabilizer of a point. Multiplicity-free permutation characters are of interest in the study of centralizer algebras and distance-transitive graphs, and all finite simple groups are known to have such characters. In this article, we extend to the alternating groups the result of J. Saxl who determined the multiplicity-free permutation representations of the symmetric groups. We classify all subgroups H for which $(1_H)^An, n > 18$, is multiplicity-free.

• Journal of the Korean Mathematical Society
• /
• v.47 no.3
• /
• pp.601-631
• /
• 2010

In [6] and [7], we introduced graph von Neumann algebras which are the (groupoid) crossed product algebras of von Neumann algebras and graph groupoids via groupoid actions. We showed that such crossed product algebras have the graph-depending amalgamated reduced free probabilistic properties. In this paper, we will consider a scalar-valued $W^*$-probability on a given graph von Neumann algebra. We show that a diagonal graph $W^*$-probability space (as a scalar-valued $W^*$-probability space) and a graph W¤-probability space (as an amalgamated $W^*$-probability space) are compatible. By this compatibility, we can find the relation between amalgamated free distributions and scalar-valued free distributions on a graph von Neumann algebra. Under this compatibility, we observe the scalar-valued freeness on a graph von Neumann algebra.

• Bulletin of the Korean Mathematical Society
• /
• v.31 no.2
• /
• pp.167-172
• /
• 1994

For a given $C^{*}$-dynamical system (A, G, .alpha.) with a G-simple $C^{*}$-algebra A (that is A has no proper .alpha.-invariant ideal) many authors have studied the simplicity of a $C^{*}$-crossed product A $x_{\alpha{r}}$ G. In [1] topological freeness of an action is shown to guarantee the simplicity of the reduced $C^{*}$-crossed product A $x_{\alpha{r}}$ G when A is G-simple. In this paper we investigate the pure infiniteness of a simple $C^{*}$-crossed product A $x_{\alpha}$ G of a purely infinite simple $C^{*}$-algebra A and a topologically free action .alpha. of a finite group G, and find a sufficient condition in terms of the action on the spectrum of the multiplier algebra M(A) of A. Showing this we also prove that some extension of a topologically free action is still topologically free.