UNSPECIFIED (1997) The braid-permutation group. TOPOLOGY, 36 (1). pp. 123-135. ISSN 0040-9383

Full text not available from this repository.

Abstract

We consider the subgroup of the automorphism group of the free group generated by the braid group and the permutation group. This is proved to be the same as the subgroup of automorphisms of permutation-conjugacy type and is represented by generalised braids (braids in which some crossings are allowed to be ''welded''). As a consequence of this representation there is a finite presentation which shows the close connection with both the classical braid and permutation groups. The group is isomorphic to the automorphism group of the free quandle and closely related to the automorphism group of the free rack. These automorphism groups are connected with invariants of classical knots and links in the 3-sphere. Copyright (C) 1996 Elsevier Science Ltd

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	TOPOLOGY
Publisher:	PERGAMON-ELSEVIER SCIENCE LTD
ISSN:	0040-9383
Date:	January 1997
Volume:	36
Number:	1
Number of Pages:	13
Page Range:	pp. 123-135
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/18160

Data sourced from Thomson Reuters' Web of Knowledge

Request changes to a record

Actions (login required)

View Item