NONCOMMUTATIVE DETERMINANTS AND AUTOMORPHISMS OF GROUPS

Authors
SHPILRAIN V
Citation
V. Shpilrain, NONCOMMUTATIVE DETERMINANTS AND AUTOMORPHISMS OF GROUPS, Communications in algebra, 25(2), 1997, pp. 559-574
Citations number
19
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
25
Issue
2
Year of publication
1997
Pages
559 - 574
Database
ISI
SICI code
0092-7872(1997)25:2<559:NDAAOG>2.0.ZU;2-K
Abstract
We show that for any invertible matrix over an arbitrary group algebra , it is possible to define series of invariants which have most of the properties of the usual commutative determinants. We also give one of the applications of these invariants to detecting Nielsen inequivalen t generating systems of various groups.