The conjugacy problem for Dehn twist automorphisms of free groups

被引:18
作者
Cohen, MM
Lustig, M
机构
[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA
[2] Ruhr Univ Bochum, D-44780 Bochum, Germany
关键词
free group; Dehn twist automorphism; normal form; algorithm; conjugacy problem; graph of groups decomposition; centralizer; index; fixed subgroup;
D O I
10.1007/s000140050085
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A Dehn twist automorphism of a group G is an automorphism which can be given (as specified below) in terms of a graph-of-groups decomposition of G with infinite cyclic edge groups. The classic example is that of an automorphism of the fundamental group of a surface which is induced by a Dehn twist homeomorphism of the surface. For G = F-n, a non-abelian free group of finite rank n, a normal form for Dehn twist is developed, and it is shown that this can be used to solve the conjugacy problem for Dehn twist automorphisms of F-n.
引用
收藏
页码:179 / 200
页数:22
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