Automorphism groups of trees acting locally with affine permutations

被引：3

作者：

Benakli, N

Glasner, Y

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

[2] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

来源：

GEOMETRIAE DEDICATA | 2002年 / 89卷 / 01期

关键词：

tree automorphisms; lattices;

D O I：

10.1023/A:1014290316936

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the structure of groups that act on a p(n)-regular tree in a vertex transitive way with the local action (i.e. the action of the vertex stabilizer on the link) isomorphic to the group of affine transformations on a finite affine line.

引用

页码：1 / 24

页数：24

共 50 条

[41] Automorphism Groups of Semi-Homogeneous Trees
Talpo, Humberto Luiz
Firer, Marcelo
GROUPS, RINGS AND GROUP RINGS, 2009, 499 : 265 - +
[42] GROUPS ACTING ON FINITE AFFINE SPACES
MORTIMER, B
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1983, 28 (AUG): : 27 - 30
[43] On knot groups acting on trees
Dudkin, Fedor A.
Mamontov, Andrey S.
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2020, 29 (09) : 2DUMNY
[44] AFFINE TRANSFORMATIONS OF LOCALLY COMPACT GROUPS
THOMAS, RK
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1972, 4 (MAY): : 599 - &
[45] ALGEBRAIC AUTOMORPHISM-GROUPS OF PRO-AFFINE ALGEBRAIC-GROUPS
LEE, DH
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 78 (02) : 175 - 180
[46] RESEARCH ANNOUNCEMENTS On Certain Automorphism Groups of an Affine Lie Algebra
刘力实
数学进展, 1985, (03) : 275 - 276
[47] Automorphism groups for p-cyclic covers of the affine line
Lehr, C
Matignon, M
COMPOSITIO MATHEMATICA, 2005, 141 (05) : 1213 - 1237
[48] Trees, homology, and automorphism groups of right-angled Artin groups
Aramayona, Javier
Fernandez, Jose L.
Fernandez, Pablo
Martinez-Perez, Conchita
JOURNAL OF ALGEBRAIC COMBINATORICS, 2019, 50 (03) : 293 - 315
[49] ON DISTANCE TRANSITIVE GRAPHS WHOSE AUTOMORPHISM-GROUPS ARE AFFINE
YOKOYAMA, K
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1992, 55 (02) : 190 - 235
[50] Trees, homology, and automorphism groups of right-angled Artin groups
Javier Aramayona
José L. Fernández
Pablo Fernández
Conchita Martínez-Pérez
Journal of Algebraic Combinatorics, 2019, 50 : 293 - 315

← 1 2 3 4 5 →