GENERATING FREE GROUPS BY LOOP TRANSLATIONS

被引:0
|
作者
DRAPAL, A [1 ]
机构
[1] CHARLES UNIV,DEPT MATH,PRAGUE,CZECH REPUBLIC
关键词
D O I
10.1016/0195-6698(95)90038-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let F be a free group of a finite rank. We construct a commutative loop Q(.) such that the permutation group on Q generated by all left and right translations of Q(.) is isomorphic to F. (C) 1995 Academic Press Limited
引用
收藏
页码:561 / 565
页数:5
相关论文
共 50 条
  • [31] AUTOMATA OVER A BINARY ALPHABET GENERATING FREE GROUPS OF EVEN RANK
    Steinberg, Benjamin
    Vorobets, Mariya
    Vorobets, Yaroslav
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2011, 21 (1-2) : 329 - 354
  • [32] ARTIN'S BRAID GROUPS, FREE GROUPS, AND THE LOOP SPACE OF THE 2-SPHERE
    Cohen, F. R.
    Wu, J.
    QUARTERLY JOURNAL OF MATHEMATICS, 2011, 62 (04): : 891 - 921
  • [33] AN ANALYSIS OF 2 RELATED LOOP-FREE ALGORITHMS FOR GENERATING INTEGER PARTITIONS
    FENNER, TI
    LOIZOU, G
    ACTA INFORMATICA, 1981, 16 (02) : 237 - 252
  • [34] TRANSLATIONS IN CERTAIN GROUPS OF AFFINE MOTIONS
    SCHEUNEMAN, J
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 47 (01) : 223 - 228
  • [35] DISJOINT HYPERCYCLIC WEIGHTED TRANSLATIONS ON GROUPS
    Chen, Chung-Chuan
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2017, 11 (03): : 459 - 476
  • [36] On the distance between the axes of elliptic elements generating a free product of cyclic groups
    Rasskazov, A
    ADVANCES IN GEOMETRY, 2006, 6 (01) : 85 - 92
  • [37] Bipolar Fuzzy Magnified Translations in Groups
    Kalyani, U. Venkata
    Eswarlal, T.
    Rao, K. V. Narasimha
    Iampan, A.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2022, 20
  • [38] TRANSLATIONS OF COMMUTATIVE ALGEBRAIC-GROUPS
    LANGE, H
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1985, 300 (09): : 255 - 258
  • [39] Bipolar Fuzzy Magnified Translations in Groups
    Kalyani, U. Venkata
    Eswarlal, T.
    Rao, K. V. Narasimha
    Iampan, A.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2022, 20
  • [40] TRANSLATIONS OF N-ARY GROUPS
    GALMAK, AM
    DOKLADY AKADEMII NAUK BELARUSI, 1986, 30 (08): : 677 - 680