Group actions, coverings and lifts of automorphisms

被引:81
作者
Malnic, A [1 ]
机构
[1] Univ Ljubljana, Pedagoska Fak, Ljubljana 1000, Slovenia
关键词
D O I
10.1016/S0012-365X(97)00141-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The problem of lifting automorphisms of a (fairly arbitrary) topological space to automorphisms of a covering space is studied by means of voltage groups. To this end we introduce some required background results regarding group actions and covering spaces.
引用
收藏
页码:203 / 218
页数:16
相关论文
共 29 条
[1]  
[Anonymous], GROUPS GEOMETRY
[2]  
Archdeacon D., 1994, AUSTRALAS J COMBIN, V9, P109
[3]  
ARMSTRONG MA, 1992, LOND MATH S, V173, P10, DOI 10.1017/CBO9780511565793.003
[4]  
Biggs N., 1993, ALGEBRAIC GRAPH THEO
[5]  
BIGGS NL, 1984, J LOND MATH SOC, V30, P1
[6]   LIFTING AND PROJECTING HOMEOMORPHISMS [J].
BIRMAN, JS ;
HILDEN, HM .
ARCHIV DER MATHEMATIK, 1972, 23 (04) :428-&
[7]  
Djokovic D. Z., 1974, Journal of Combinatorial Theory, Series B, V16, P243, DOI 10.1016/0095-8956(74)90070-7
[8]   OBSERVATIONS ON THE CONSTRUCTION OF COVERS USING PERMUTATION VOLTAGE ASSIGNMENTS [J].
EZELL, CL .
DISCRETE MATHEMATICS, 1979, 28 (01) :7-20
[9]   GRAPHS WITH POLYNOMIAL-GROWTH ARE COVERING GRAPHS [J].
GODSIL, CD ;
SEIFTER, N .
GRAPHS AND COMBINATORICS, 1992, 8 (03) :233-241
[10]  
Gross J.L., 1987, Topological Graph Theory