• Journal of the Korean Mathematical Society
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• v.45 no.1
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• pp.137-150
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• 2008

In this paper we will prove that the simple groups $B_p(3)\;and\;G_p(3)$, p an odd prime number, are 2-recognizable by the set of their order components. More precisely we will prove that if G is a finite group and OC(G) denotes the set of order components of G, then OC(G) = $OC(B_p(3))$ if and only if $G{\cong}B_p(3)\;or\;C_p(3)$.

• Communications of Mathematical Education
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• v.6
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• pp.371-381
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• 1997

Let p be an odd prime number. We introduce simple and useful decoding algorithm for orthogonal Latin square codes of order p. Let H be the parity check matrix of orthogonal Latin square code. For any x ${\in}$ GF(p)$^{n}$, we call xH$^{T}$ the syndrome of x. This method is based on the syndrome decoding for linear codes. In L$_{p}$, we need to find the first and the second coordinates of codeword in order to correct the errored received vector.

• YAKHAK HOEJI
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• v.18 no.2
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• pp.145-156
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• 1974

P, P'-Hexachiorobitolyl, p, p-hexachlorobitolylketone and p, p' hexachlorobitolylthiourea were synthesized by the radical chlorination method of Hass and McBeer. Among these comppounds, l wormicidal activity of p.p'-hexachlorobitolythiourea was much most potent against Clonorchis sinensis than Hetol in vitro. In the process of the p, p'-biolyl chlorination, ${\alpha, \alpha, \alpha}$-trichlorobitolyl was not detected, but small amount of ${\alpha, \alpha, \alpha}$-dichlorobitolyl was detected. This compound was immediately converted bitolyl compounds were analyzed, linear relationship was observed between retention indices and number of chlorine in two series of odd and even numbered chlorine compounds.

• Journal of the Korean Mathematical Society
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• v.42 no.3
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• pp.555-571
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• 2005

A pair of pants $\Sigma(0,3)$ is a building block of oriented surfaces. The purpose of this paper is to formulate the matrix presentations of elements of the Teichmuller space of a pair of pants. In the level of the matrix group $SL(2,\mathbb{R})$, we shall show that an odd number of traces of matrix presentations of the generators of the fundamental group of $\Sigma(0,3)$ should be negative.

• The Pure and Applied Mathematics
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• v.20 no.2
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• pp.79-87
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• 2013

In this paper we study the infniteness of Hilbert 2-class field towers of inert imaginary quadratic function fields over $\mathbb{F}_q(T)$, where $q$ is a power of an odd prime number.

• Korean Journal of Mathematics
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• v.30 no.3
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• pp.555-560
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• 2022

Suppose L/K be a finite abelian extension of number fields of odd degree and suppose an abelian variety A defined over L is a K-variety. If the endomorphism algebra of A/L is a field F, the followings are equivalent : (1) The enodomorphiam algebra of the restriction of scalars from L to K is simple. (2) There is no proper subfield of L containing L^G_F on which A has a K-variety descent.

• Journal of Nutrition and Health
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• v.31 no.7
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• pp.1158-1164
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• 1998

This study was carried out to provide information on the related factors for child obesity through investigation of children aged 6-12. Data was obtained on family history, dietary habits and physical examinations. Children were classified into normal(98 persons) and obese (108 persons) groups using combinations of the height f3r age, weight fir age, and weight fir height standards used by the World Health Organization. Children's height, weight and BMI showed significant differences between groups except children aged 8 for height. Birth weight, breast feeding and unbalanced diet were not associated with obesity. Overeating was a risk factor in the obese group(Odd ratio : 3.417, 95% CI 1.879-6.212). Taking nutrition pills was correlated to obesity. Odd ratio for taking nutrition pills was 0.109(95% CI : 0.024-0.492) between normal and obese group. Number of brothers didn't have any correlation to obesity. Obesity was not correlated to mother's education level or employmental status. As the result of this study, children's obesity was related to overeating and taking nutrition pills. Therefore, these results suggest that systematic dietary education and continuous parental supervision are necessary to avoid child obesity. (Korean J Nutrition 31(7) : 1158-1164, 1998)

• Journal of the Korean Dietetic Association
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• v.4 no.2
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• pp.145-151
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• 1998

The purpose of this study was to investigate the related factors to child overweight through investigation of children aged 6-12. Data on physical examinations, family history and dietary habits were obtained. Children were classified into normal(98 persons) and overweight(118 persons) group using the combination of height for age, weight for age and weight for height standard by the World Health Organization. Children's height, weight and BMI exhibited a significant difference between groups except children aged 8 for height. Unbalanced diet was a risk factors for overweight(Odd ratio : 1.765, 95% CI : 1.022~3.048). Number of brothers showed negative significance especially in two brothers compared to that of one(Odd ratio : 0.456, 95% CI : 0.209~0.995). But Birth weight, feeding practice, overeating, taking nutrition pills, sleeping time, mother's education level and employmental status didn't have any difference. We found out there were different risk factors between obese and overweight group. They should be divided into different groups in studying risk factors. And we should pay much attention to overweight children in order to prevent improving to obesity.

• Bulletin of the Korean Mathematical Society
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• v.55 no.3
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• pp.799-808
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• 2018

We generalize some of the congruences in [20] to periodic knotted trivalent graphs. As an application, a criterion derived from one of these congruences is used to obstruct periodicity of links of few crossings for the odd primes p = 3, 5, 7, and 11. Moreover, we derive a new criterion of periodic links. In particular, we give a sufficient condition for the period to divide the crossing number. This gives some progress toward solving the well-known conjecture that the period divides the crossing number in the case of alternating links.

• Communications of the Korean Mathematical Society
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• v.13 no.2
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• pp.233-242
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• 1998

Let $k = Q(\sqrt{m})$ be a real quadratic field. In this paper, the following theorems on p-divisibility of the class number h of k are studied for each prime pp. Theorem 1. If the discriminant of k has at least three distinct prime divisors, then 2 divides h. Theorem 2. If an odd prime p divides h, then p divides $B_{a,\chi\omega^{-1}}$, where $\chi$ is the nontrivial character of k, and $\omega$ is the Teichmuller character for pp. Theorem 3. Let $h_n$ be the class number of $k_n$, the nth layer of the $Z_p$-extension $k_\infty$ of k. If p does not divide $B_{a,\chi\omega^{-1}}$, then $p \notmid h_n$ for all $n \geq 0$.