GROUPS WITH GRAPHICAL C(6) AND C(7) SMALL CANCELLATION PRESENTATIONS

被引：0
|
作者：
Gruber, Dominik [1 ]
机构：
[1] Univ Vienna, Dept Math, A-1090 Vienna, Austria
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 03期
关键词：
Small cancellation theory;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We extend fundamental results of small cancellation theory to groups whose presentations satisfy the generalizations of the classical C(6) and C(7) conditions in graphical small cancellation theory. Using these graphical small cancellation conditions, we construct lacunary hyperbolic groups and groups that coarsely contain prescribed infinite sequences of finite graphs. We prove that groups given by (possibly infinite) graphical C(7) presentations contain non-abelian free subgroups.
引用
收藏
页码：2051 / 2078
页数：28
相关论文
共 50 条
  • [31] Some small cancellation properties of random groups
    Ollivier, Yann
    [J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2007, 17 (01) : 37 - 51
  • [32] SOLUTIONS OF QUADRATIC EQUATIONS IN GROUPS WITH SMALL CANCELLATION
    LYSENOK, IG
    [J]. MATHEMATICAL NOTES, 1988, 43 (5-6) : 333 - 341
  • [33] Acylindrical hyperbolicity of cubical small cancellation groups
    Arzhantseva, Goulnara N.
    Hagen, Mark F.
    [J]. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2022, 22 (05): : 2007 - 2078
  • [34] Actions of small cancellation groups on hyperbolic spaces
    Carolyn R. Abbott
    David Hume
    [J]. Geometriae Dedicata, 2021, 212 : 325 - 363
  • [35] MALNORMALITY OF CERTAIN SUBGROUPS OF SMALL CANCELLATION GROUPS
    VELLA, AD
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1978, 163 (02) : 187 - 189
  • [36] Actions of small cancellation groups on hyperbolic spaces
    Abbott, Carolyn R.
    Hume, David
    [J]. GEOMETRIAE DEDICATA, 2021, 212 (01) : 325 - 363
  • [37] C6-C7 - FURTHER COMPLEMENT SUPERGENE
    LACHMANN, PJ
    HOBART, MJ
    [J]. JOURNAL OF IMMUNOLOGY, 1978, 120 (05): : 1781 - 1782
  • [38] FUNCTIONALLY ACTIVE COMPLEMENT PROTEINS C6 AND C7 DETECTED IN C6-DEFICIENT AND C7-DEFICIENT INDIVIDUALS
    WURZNER, R
    ORREN, A
    POTTER, P
    MORGAN, BP
    PONARD, D
    SPATH, P
    BRAI, M
    SCHULZE, M
    HAPPE, L
    GOTZE, O
    [J]. CLINICAL AND EXPERIMENTAL IMMUNOLOGY, 1991, 83 (03): : 430 - 437
  • [39] BRACHIAL-PLEXUS INJURIES IN ADULTS INVOLVING C5-C6 OR C5-C6-C7
    ALNOT, JY
    MONOD, A
    [J]. REVUE DE CHIRURGIE ORTHOPEDIQUE ET REPARATRICE DE L APPAREIL MOTEUR, 1987, 73 : 249 - 253
  • [40] COMPLEMENT COMPONENT C6 AND C7 HAPLOTYPES ASSOCIATED WITH DEFICIENCIES OF C6
    FERNIE, BA
    ORREN, A
    WURZNER, R
    JONES, AM
    POTTER, PC
    LACHMANN, PJ
    HOBART, MJ
    [J]. ANNALS OF HUMAN GENETICS, 1995, 59 : 183 - 195
12345