On composition algebras and their automorphism groups

被引:0
|
作者
Bani-Ata, Mashhour [1 ]
Al-Nouty, Ra'ed [2 ]
Kasasbeh, Khaled Ali Ahmad [3 ]
机构
[1] Publ Author Appl Educ & Training, Dept Math, Adailiyah, Kuwait
[2] Hashemite Univ, Dept Math, Zarqa, Jordan
[3] Dept Math, Aljahra, Kuwait
关键词
Composition Algebra; Cayley-Dickson Algebra; automorphism groups;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this article is to investigate composition algebras over fields F-q = GF (q) , q = p(m), p prime, and in particular the Cayley-Dickson numbers, also called octaves, and their automorphism groups G(2)(q).
引用
收藏
页码:1211 / 1218
页数:8
相关论文
共 50 条
  • [1] AUTOMORPHISM GROUPS OF UNARY ALGEBRAS ON GROUPS
    WENZEL, GH
    [J]. CANADIAN JOURNAL OF MATHEMATICS, 1969, 21 (05): : 1165 - &
  • [2] Automorphism groups of axial algebras
    Gorshkov, I. B.
    McInroy, J.
    Shumba, T. M. Mudziiri
    Shpectorov, S.
    [J]. JOURNAL OF ALGEBRA, 2025, 661 : 657 - 712
  • [3] Automorphism groups of some algebras
    PARK Hong Goo
    LEE Jeongsig
    CHOI Seul Hee
    NAM Ki-Bong
    [J]. Science China Mathematics, 2009, (02) : 323 - 328
  • [4] Automorphism groups of some algebras
    Park, Hong Goo
    Lee, Jeongsig
    Choi, Seul Hee
    Chen XueQing
    Nam, Ki-Bong
    [J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (02): : 323 - 328
  • [5] NONFINITARY ALGEBRAS AND THEIR AUTOMORPHISM GROUPS
    Zotov, I. N.
    Levchuk, V. M.
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (01) : 87 - 96
  • [6] On automorphism groups of Hardy algebras
    Ardila, Rene
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (04) : 1170 - 1183
  • [7] AUTOMORPHISM GROUPS OF C]-ALGEBRAS
    BAESMITH, MS
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 152 (02) : 623 - &
  • [8] AUTOMORPHISM GROUPS OF JORDAN ALGEBRAS
    BOBO, ER
    [J]. NAGOYA MATHEMATICAL JOURNAL, 1968, 32 (JUN) : 227 - &
  • [9] Automorphism groups of some algebras
    PARK Hong Goo
    LEE Jeongsig
    CHOI Seul Hee
    NAM KiBong
    [J]. Science in China(Series A:Mathematics)., 2009, 52 (02) - 328
  • [10] Nonfinitary Algebras and Their Automorphism Groups
    I. N. Zotov
    V. M. Levchuk
    [J]. Siberian Mathematical Journal, 2022, 63 : 87 - 96