 フルテキストURL Minamide, Arata| In this paper, we prove that the etale fundamental group of a hyperbolic curve over an arithmetic field [e.g., a finite extension field of Q or Qp] or an algebraically closed field is indecomposable [i.e., cannot be decomposed into the direct product of nontrivial profinite groups]. Moreover, in the case of characteristic zero, we also prove that the etale fundamental group of the configuration space of a curve of the above type is indecomposable. Finally, we consider the topic of indecomposability in the context of the comparison of the absolute Galois group of Q with the Grothendieck-Teichmuller group GT and pose the question: Is GT indecomposable? We give an affirmative answer to a pro-l version of this question indecomposability etale fundamental group hyperbolic curve con guration space Grothendieck-Teichmuller group 2018-01 Mathematical Journal of Okayama University 60巻 1号 Department of Mathematics, Faculty of Science, Okayama University 175 208 0030-1566 AA00723502 学術雑誌論文 http://www.math.okayama-u.ac.jp/mjou/| English Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL Minami, Haruo| We present a uni ed proof of some known results on the framed bordism classes of low rank simple Lie groups. framed manifolds simple Lie groups stable homotopy groups 2018-01 Mathematical Journal of Okayama University 60巻 1号 Department of Mathematics, Faculty of Science, Okayama University 165 173 0030-1566 AA00723502 学術雑誌論文 http://www.math.okayama-u.ac.jp/mjou/| English Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL Shimizu, Kenichi| We study a class of integers called SP numbers (Sum Prime numbers). An SP number is by de nition a positive integer d that gives rise to a prime number (a + b)=gcd(4; 1 + d) from every factorization d = ab. We also discuss properties of SP numbers in relations with arithmetic of imaginary quadratic elds (least split primes, exponents of ideal class groups). Further we point out that special cases of SP numbers provide the problems of distribution of prime numbers (twin primes, Sophi-Germain primes, quadratic progressions). Finally, we consider the problem whether there exist in nitely many SP numbers. SP number prime number imaginary quadratic fi eld 2018-01 Mathematical Journal of Okayama University 60巻 1号 Department of Mathematics, Faculty of Science, Okayama University 155 164 0030-1566 AA00723502 学術雑誌論文 http://www.math.okayama-u.ac.jp/mjou/| English Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL Shigekawa, Ichiro| We discuss a non-symmetric diffusion process on the Wiener space. The process we consider is generated by A = L + b, L being the Ornstein-Uhlenbeck operator and b being a vector eld. Under suitable integrability condition for b, we show the existence of associated diffusion process. We also investigate the domain of the generator. Further we consider a similar problem in the nite dimensional Euclidean space. non-symmetric Dirichlet form Wiener space logarithmic Sobolev inequality generator domain 2018-01 Mathematical Journal of Okayama University 60巻 1号 Department of Mathematics, Faculty of Science, Okayama University 137 153 0030-1566 AA00723502 学術雑誌論文 http://www.math.okayama-u.ac.jp/mjou/| English Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL Namba, Ryuya| Recently, Ishiwata, Kawabi and Kotani  proved two kinds of central limit theorems for non-symmetric random walks on crystal lattices from the view point of discrete geometric analysis developed by Kotani and Sunada. In the present paper, we establish yet another kind of the central limit theorem for them. Our argument is based on a measure-change technique due to Alexopoulos . crystal lattice central limit theorem non-symmetric random walk (modi ed) harmonic realization 2018-01 Mathematical Journal of Okayama University 60巻 1号 Department of Mathematics, Faculty of Science, Okayama University 109 135 0030-1566 AA00723502 学術雑誌論文 http://www.math.okayama-u.ac.jp/mjou/| English Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL Sato, Kenichi| Yoshino, Yuji| We shall generalize the theory of primary decomposition and associated prime ideals of nitely generated modules over a noetherian ring to general objects in an abelian R-category where R is a noetherian commutative ring. 2018-01 Mathematical Journal of Okayama University 60巻 1号 Department of Mathematics, Faculty of Science, Okayama University 91 108 0030-1566 AA00723502 学術雑誌論文 http://www.math.okayama-u.ac.jp/mjou/| English Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL Wu, Tsung-Hsuan| We give the stable splittings of the complex connective K-theory of the classifying space BSO(2n + 1), n≥1. stable splitting complex connective K-theory classifying space Adams spectral sequence 2018-01 Mathematical Journal of Okayama University 60巻 1号 Department of Mathematics, Faculty of Science, Okayama University 73 89 0030-1566 AA00723502 学術雑誌論文 http://www.math.okayama-u.ac.jp/mjou/| English Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL Trimẻche, Khalifa| We prove in this paper the absolute continuity of the representing measures of the transmutation operators Vk, tVk and VkW, tVkW associated respectively to the Cherednik operators and the Heckman-Opdam theory attached to the root system of type BC2. Transmutation operators Absolute continuity of the representing measures Cherednik operators Heckman-Opdam theory 2018-01 Mathematical Journal of Okayama University 60巻 1号 Department of Mathematics, Faculty of Science, Okayama University 59 72 0030-1566 AA00723502 学術雑誌論文 http://www.math.okayama-u.ac.jp/mjou/| English Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL Masuda, Toshihiko| We give a survey of Tomita-Takesaki theory and the development of analysis of structure of type III factors, which started from Tomita-Takesaki theory. Tomita-Takesaki theory type III factors injective factors 2018-01 Mathematical Journal of Okayama University 60巻 1号 Department of Mathematics, Faculty of Science, Okayama University 37 58 0030-1566 AA00723502 学術雑誌論文 http://www.math.okayama-u.ac.jp/mjou/| English Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL Hemmi, Yutaka| Higher homotopy in the theory of H-spaces started from the works by Sugawara in the 1950th. In this paper we review the development of the theory of H-spaces associated with it. Mainly there are two types of higher homotopies, homotopy associativity and homotopy commutativity. We give explanations of the polytopes used as the parameter spaces of those higher forms. H-space higher homotopy associativity An-form higher homotopy commutativity associahedra multiplihedra permutohedra resultohedra permuto-associahedra cyclohedra 2018-01 Mathematical Journal of Okayama University 60巻 1号 Department of Mathematics, Faculty of Science, Okayama University 1 36 0030-1566 AA00723502 学術雑誌論文 http://www.math.okayama-u.ac.jp/mjou/| English Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University