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- Title
Effective separability of finitely generated nilpotent groups.
- Authors
Pengitore, Mark
- Abstract
We give effective proofs of residual finiteness and conju-gacy separability for finitely generated nilpotent groups. In particular, we give precise effective bounds for a function introduced by Bou-Rabee that measures how large the finite quotients that are needed to separate nonidentity elements of bounded length from the identity which im-proves the work of Bou-Rabee. Similarly, we give polynomial upper and lower bounds for an analogous function introduced by Lawton, Louder, and McReynolds that measures how large the finite quotients that are needed to separate pairs of distinct conjugacy classes of bounded word length using work of Blackburn and Mal'tsev.
- Subjects
NILPOTENT groups; MODULAR arithmetic; MATHEMATICAL bounds; MATHEMATICAL proofs; QUOTIENT rings
- Publication
New York Journal of Mathematics, 2018, Vol 24, p83
- ISSN
1076-9803
- Publication type
Article