Isoperimetric functions of finitely generated nilpotent groups

被引：4
|
作者：
Hidber, C [1 ]
机构：
[1] Int Comp Sci Inst, Berkeley, CA 94704 USA
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 1999年 / 144卷 / 03期
关键词：
D O I：
10.1016/S0022-4049(98)00063-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the isoperimetric function of a finitely generated nilpotent group of class c is bounded above by a polynomial of degree 2c. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：229 / 242
页数：14
相关论文
共 50 条
  • [41] RESIDUAL PROPERTY OF FINITELY GENERATED ABELIAN-BY-NILPOTENT GROUPS
    SEGAL, D
    JOURNAL OF ALGEBRA, 1974, 32 (02) : 389 - 399
  • [42] Finitely Generated Nilpotent Groups of Infinite Cyclic Commutator Subgroups
    Jun LIAO
    He Guo LIU
    Xing Zhong XU
    Ji Ping ZHANG
    Acta Mathematica Sinica,English Series, 2020, (12) : 1315 - 1340
  • [43] Solvability of Independent Systems of Equations in Finitely Generated Nilpotent Groups
    Roman'kov, V. A.
    MATHEMATICAL NOTES, 2021, 110 (3-4) : 560 - 564
  • [44] MODEL THEORETIC CONNECTED COMPONENTS OF FINITELY GENERATED NILPOTENT GROUPS
    Bowler, Nathan
    Chen, Cong
    Gismatullin, Jakub
    JOURNAL OF SYMBOLIC LOGIC, 2013, 78 (01) : 245 - 259
  • [45] Finitely Generated Nilpotent Groups of Infinite Cyclic Commutator Subgroups
    Jun Liao
    He Guo Liu
    Xing Zhong Xu
    Ji Ping Zhang
    Acta Mathematica Sinica, English Series, 2020, 36 : 1315 - 1340
  • [46] Finitely Generated Nilpotent Groups of Infinite Cyclic Commutator Subgroups
    Jun LIAO
    He Guo LIU
    Xing Zhong XU
    Ji Ping ZHANG
    ActaMathematicaSinica, 2020, 36 (12) : 1315 - 1340
  • [47] The conjugacy problem and canonical representatives in finitely generated nilpotent groups
    Eick, Bettina
    Ayala, oscar Fernandez
    JOURNAL OF SYMBOLIC COMPUTATION, 2025, 130
  • [48] Finitely Generated Nilpotent Groups of Infinite Cyclic Commutator Subgroups
    Liao, Jun
    Liu, He Guo
    Xu, Xing Zhong
    Zhang, Ji Ping
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2020, 36 (12) : 1315 - 1340
  • [49] Elementary equivalence for finitely generated nilpotent groups and multilinear maps
    Oger, F
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1998, 58 (03) : 479 - 493
  • [50] CRITERION OF TORSION ABSENCE IN THE NILPOTENT PRODUCT OF FINITELY GENERATED GROUPS
    LIMANSKII, VV
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1981, (01): : 58 - 65
12345