Peer-Reviewed Journal Details
Mandatory Fields
Detinko, AS,Flannery, DL,O'Brien, EA
2011
October
Journal Of Algebra
Algorithms for the Tits alternative and related problems
Published
()
Optional Fields
Finitely generated linear group Solvable-by-finite group Decision problems Algorithm RATIONAL MATRIX GROUPS LINEAR-GROUPS SUBGROUPS
344
397
406
We present an algorithm to decide whether a finitely generated linear group over an infinite field is solvable-by-finite, thereby obtaining a computationally effective version of the Tits alternative. We also give algorithms to decide whether the group is nilpotent-by-finite, abelian-by-finite, or central-by-finite. Implementations of the algorithms are publicly available in MAGMA. (C) 2011 Elsevier Inc. All rights reserved.
DOI 10.1016/j.jalgebra.2011.06.036
Grant Details
Publication Themes