본문 바로가기
KERD
논문KCI 등재

COMMUTATIVE p-SCHUR RINGS OVER NON-ABELIAN GROUPS OF ORDER p 3

김기정
대한수학회 (The Korean Mathematical Society)|2014.11|대한수학회보 (Bulletin of the KMS)|제51권 제6호|pp. 1689-1696

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

p-Schur ringSchurianCayley scheme
주제분류수학

초록

Recently, it was proved that every p-Schur ring over an abelian group of order p3 is Schurian. In this paper, we prove that every commutative p-Schur ring over a non-abelian group of order p3 is Schurian.

Abstract

Recently, it was proved that every p-Schur ring over an abelian group of order p3 is Schurian. In this paper, we prove that every commutative p-Schur ring over a non-abelian group of order p3 is Schurian.

참고문헌 (18)

  1. J. R. Cho, "On p-schemes of order p3", J. Algebra, 369, pp.369~380 (2012)
  2. J. D. Dixon, "Permutation Groups" (1996), Springer
  3. S. Evdokimov, "On a family of Schur rings over a finite cyclic group", Algebra Anal, 13(3), pp.139~154 (2001)
  4. D. Gluck, "A note on permutation polynomials and finite geometry", Discrete Math, 80, pp.97~100 (1990)
  5. L. Johan, "On p-groups of low power order" (2010), KTH
  6. "Classification of association schemes of small order"[URL]
  7. Y. Hiramine, "On planar functions", J. Algebra, 133(1), pp.103~110 (1990)
  8. M. Hirasaka, "An elementary abelian group of rank 4 is a CI-group", J Combin. Theory Ser. A, 94(2), pp.339~362 (2001)
  9. K. Kim, "Characterization of p-schemes of prime cube order", J. Algebra, 331, pp.1~10 (2011)
  10. K. Kim, "On p-Schur rings over abelian groups of order p3,", Comm. Algebra, 42, pp.4470~4477 (2014)
  11. M. Kh. Klin, "The axiomatics of cellular rings, Investigations in the algebraic theory of combinatorial objects", Vsesoyuz. Nauchno-Issled. Inst. Sistem. Issled, 6~32 (1985)
  12. M. Muzychuk, "Schur rings", European J. Combin, 30(6), pp.1526~1539 (2009)
  13. A. Pott, "Finite Geometry and Character Theory", Lecture Notes in Math., 1601, pp.1995~, Springer
  14. L. R´onyai, "Planar functions over finite fields", Combinatorica, 9(3), pp.315~320 (1989)
  15. P. Spiga, "An answer to Hirasaka and Muzychuk: Every p-Schur ring over C3p is Schurian", Discrete Math, 308(9), pp.1760~1763 (2008)
  16. H. Wielandt, "Finite Permutation Groups" (1964), Academic Press
  17. P. -H. Zieschang, "Association schemes in which the thin residue is a finite cyclic group", J. Algebra, 324(12), pp.3572~3578 (2010)
  18. P. -H. Zieschang, "Springer Monographs in Mathematics" (2005), Springer

관련 논문AI추천

ON PERMUTING 3-DERIVATIONS AND COMMUTATIVITY IN PRIME NEAR-RINGS박규홍, 정용수대한수학회 · 대한수학회논문집2010 · 제25권 제1호The structure of the radical of the non semisimple group rings유원석강원경기수학회 · 한국수학논문집2010 · 제18권 제1호Rings in which every element is a sum of a nilpotent and three tripotentsGuoli Xia, Jian Cui대한수학회 · 대한수학회보2021 · 제58권 제1호SOME RESULTS OF R-GROUP STRUCTURES조용욱강원경기수학회 · 한국수학논문집2008 · 제16권 제3호SOME RESULTS ON MONOGENIC (R; S)-GROUPS조용욱한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제4호Computation of Wedderburn decomposition of groups algebras from their subalgebraGaurav Mittal, Rajendra Kumar Sharma대한수학회 · 대한수학회보2022 · 제59권 제3호

이 간행물의 다른 논문 (21건)

Conditional transform with respect to the Gaussian process involving the conditional convolution product and the first variation장승준, 정현수, 이일용pp. 1561-1577A note on generalized Dirac eigenvalues for split holonomy and torsionIlka Agricola, 김화정pp. 1579-1589Maximum principle, convergence of sequences and angular limits for harmonic Bloch mappingsJinjing Qiao, Hongya Gaopp. 1591-1603Structure of some classes of semisimple group algebras over finite fieldsJ. B. Srivastava, Rajendra Kumar Sharma, Neha Makhijanipp. 1605-1614Generalized matrix functions, irreducibility and equalityMohammad Hossein Jafari, Ali Reza Madadipp. 1615-1623
원문 보기