A general small cancellation theory

被引：15

作者：

McCammond, JP ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2000年 / 10卷 / 01期

关键词：

D O I：

10.1142/S0218196700000029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, a generalized version of small cancellation theory is developed which is applicable to specific types of high-dimensional simplicial complexes. The usual results on small cancellation groups are then shown to hold in this new setting with only slight modifications. For example, arbitrary dimensional versions of the Poincare construction and the Cayley complex are described.

引用

页码：1 / 172

页数：172

共 50 条

[31] SUBGROUPS OF SMALL CANCELLATION GROUPS
HILL, P
PRIDE, SJ
VELLA, AD
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1984, 349 : 24 - 54
[32] Cubulating small cancellation groups
Wise, DT
[J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 2004, 14 (01) : 150 - 214
[33] CANCELLATION THEOREM IN PSEUDOPOTENTIAL THEORY
PENDRY, JB
[J]. JOURNAL OF PHYSICS PART C SOLID STATE PHYSICS, 1971, 4 (04): : 427 - &
[34] Anomaly cancellation in string theory
Davis, Simon
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 21 (03)
[35] Cancellation problems and dimension theory
Belov, A
Yu, JT
[J]. COMMUNICATIONS IN ALGEBRA, 2006, 34 (04) : 1521 - 1540
[36] Cancellation of the FGCU General Meeting 2020
Gottlich, Richard
[J]. CHEMKON, 2020, 27 (05) : 252 - 252
[37] NEURONAL DEATH OF THE CANCELLATION THEORY
PRABLANC, C
[J]. BEHAVIORAL AND BRAIN SCIENCES, 1994, 17 (02) : 274 - 275
[38] MOTION OF SMALL SPHERES IN GASES .1. GENERAL THEORY
WILLIAMS, MM
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1972, A 27 (12): : 1798 - 1803
[39] Small cancellation in acylindrically hyperbolic groups
Hull, Michael
[J]. GROUPS GEOMETRY AND DYNAMICS, 2016, 10 (04) : 1077 - 1119
[40] Axiomatic Definition of Small Cancellation Rings
Atkarskaya, A.
Kanel-Belov, A.
Plotkin, E.
Rips, E.
[J]. DOKLADY MATHEMATICS, 2021, 104 (02) : 234 - 239

← 1 2 3 4 5 →