Group actions on pretrees and definability

被引：3

作者：

Ivanov, AA ^{[1
]}

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

来源：

COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 02期

关键词：

pretrees; group actions; non-nesting actions; definability;

D O I：

10.1081/AGB-120027912

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe an axiomatizable class of structures (G, T, *) including all typical group actions on trees (considered as two-sorted structures). In this class, we obtain a first-order version of some facts about isometric actions on R-trees.

引用

页码：561 / 577

页数：17

共 15 条

[1]

Adeleke S. A., 1998, MEMOIRS AM MATH SOC, V623

[2]

Alperin R., 1987, ANN MATH STUD, V111, P265

[3]

[Anonymous], 1977, CONTRIBUTIONS ALGEBR

[4]

[Anonymous], 1965, PUBL MATH I HAUTES E

[5]

Bourbaki, 1965, ALGEBRE COMMUTATIVE

[6]

Bowditch B., 1999, MEMOIRS AM MATH SOC, V662

[7]

Bruhat T., 1972, Publications Mathematiques de l'I.H.E.S, V41, P5

[8] GROUPS DEFINABLE IN LOCAL-FIELDS AND PSEUDO-FINITE FIELDS [J].

HRUSHOVSKI, E ;

PILLAY, A .

ISRAEL JOURNAL OF MATHEMATICS, 1994, 85 (1-3) :203-262

[9]

IVANOV A, UNPUB NON NESTING AC

[10]

Iwasawa K., 1948, J MATH SOC JAPAN, V1, P1

← 1 2 →