FIXED-POINTS OF FINITE-GROUPS OF FREE GROUP AUTOMORPHISMS

被引：8

作者：

WHITE, T ^{[1
]}

机构：

[1] UNIV CALIF LOS ANGELES,DEPT MATH,LOS ANGELES,CA 90024

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 118卷 / 03期

关键词：

LENGTH FUNCTION; TREE; OUTER SPACE;

D O I：

10.2307/2160103

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct an equivariant collection of contractions of the compactified Culler-Vogtmann outer space X(n)BAR. As a consequence, we prove that any finite subgroup of the outer automorphism group of a free group fixes a contractible subset of X(n)BAR.

引用

页码：681 / 688

页数：8

共 50 条

[31] OBSERVATION ON FINITE-GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME POWER ORDER
SCIMEMI, B
ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1973, 54 (04): : 509 - 510
[32] FINITE-GROUPS ADMITTING A FIXED-POINT-FREE AUTOMORPHISM GROUP
ROWLEY, P
JOURNAL OF ALGEBRA, 1995, 174 (02) : 724 - 727
[33] CENTRAL AUTOMORPHISMS OF FINITE-GROUPS
CURRAN, MJ
MCCAUGHAN, DJ
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1986, 34 (02) : 191 - 198
[34] ON THE FIXED-POINTS OF A FINITE-GROUP ACTING ON A FREE LIE-ALGEBRA
BRYANT, RM
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1991, 43 : 215 - 224
[35] ON INNER AUTOMORPHISMS OF FINITE-GROUPS
PETTET, MR
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (01) : 87 - 90
[36] On finite groups with automorphisms whose fixed points are Engel
Pavel Shumyatsky
Danilo Sanção da Silveira
Archiv der Mathematik, 2016, 106 : 209 - 218
[37] On finite groups with automorphisms whose fixed points are Engel
Shumyatsky, Pavel
da Silveira, Danilo Sancao
ARCHIV DER MATHEMATIK, 2016, 106 (03) : 209 - 218
[38] Positive laws in fixed points of automorphisms of finite groups
Shumyatsky, Pavel
JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (11) : 2559 - 2566
[39] TORSION-FREE ABELIAN-GROUPS WITH FINITE-GROUPS OF AUTOMORPHISMS
KOZHUKHOV, SF
NIKIFOROV, VA
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1989, (09): : 30 - 37
[40] TORSION-FREE ABELIAN-GROUPS WITH FINITE-GROUPS OF AUTOMORPHISMS
NIKIFOROV, VA
MATHEMATICAL NOTES, 1986, 39 (5-6) : 350 - 353

← 1 2 3 4 5 →