Groups, semigroups and finite presentations

被引:0
|
作者
Campbell, CM [1 ]
Robertson, EF [1 ]
Ruskuc, N [1 ]
Thomas, RM [1 ]
机构
[1] Univ St Andrews, Math Inst, St Andrews KY16 9SS, Fife, Scotland
来源
GEOMETRIC GROUP THEORY DOWN UNDER | 1999年
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Two questions are discussed. Firstly, what is the connection between the group and the semigroup defined by the same presentation? Secondly, do there exist any results for semigroups with respect to substructures being finitely presented that correspond to the classical results for groups? These themes are considered both from a geometric and a combinatorial point of view.
引用
收藏
页码:55 / 69
页数:15
相关论文
共 50 条
  • [41] Presentations of finite simple groups: profinite and cohomological approaches
    Guralnick, Robert
    Kantor, William M.
    Kassabov, Martin
    Lubotzky, Alexander
    GROUPS GEOMETRY AND DYNAMICS, 2007, 1 (04) : 469 - 523
  • [42] Finite presentations for Kaliler groups with arbitrary finiteness properties
    Isenrich, Claudio Llosa
    JOURNAL OF ALGEBRA, 2017, 476 : 344 - 367
  • [43] On presentations and second cohomology of some finite simple groups
    Korchagina, Inna
    Lubotzky, Alexander
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2006, 69 (03): : 341 - 352
  • [44] Finite presentations for the balanced superelliptic mapping class groups
    Hirose, Susumu
    Omori, Genki
    JOURNAL OF TOPOLOGY AND ANALYSIS, 2024,
  • [45] Some presentations for the special linear groups on finite fields
    Chiaselotti G.
    Annali di Matematica Pura ed Applicata (1923 -), 2001, 180 (3): : 359 - 372
  • [46] CONTRACTIVE PRESENTATIONS - A FAMILY OF INVERSE MONOIDS AND SEMIGROUPS WITH FINITE R-CLASSES
    STEPHEN, JB
    SEMIGROUP FORUM, 1992, 44 (02) : 255 - 270
  • [47] Minimal presentations and efficiency of semigroups
    Ayik H.
    Campbell C.M.
    O'Connor J.J.
    Ruškuc N.
    Semigroup Forum, 2000, 60 (2) : 231 - 242
  • [48] Minimal presentations and efficiency of semigroups
    Ayik, H
    Campbell, CM
    O'Connor, JJ
    Ruskuc, N
    SEMIGROUP FORUM, 2000, 60 (02) : 231 - 242
  • [49] ON A CLASS OF SEMIGROUPS WITH SYMMETRICAL PRESENTATIONS
    CAMPBELL, CM
    ROBERTSON, EF
    THOMAS, RM
    SEMIGROUP FORUM, 1993, 46 (03) : 286 - 306
  • [50] Automatic Presentations for Cancellative Semigroups
    Cain, Alan J.
    Oliver, Graham
    Ruskuc, Nik
    Thomas, Richard M.
    LANGUAGE AND AUTOMATA THEORY AND APPLICATIONS, 2008, 5196 : 149 - +