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Effective Twisted Conjugacy Separability of Nilpotent Groups
- Publication Year :
- 2017
-
Abstract
- This paper initiates the study of effective twisted conjugacy separability for finitely generated groups, which measures the complexity of separating distinct twisted conjugacy classes via finite quotients. The focus is on nilpotent groups, and our main result shows that there is a polynomial upper bound for twisted conjugacy separability. That allows us to study regular conjugacy separability in the case of virtually nilpotent groups, where we compute a polynomial upper bound as well. As another application, we improve the work of the second author by giving a precise calculation of conjugacy separability for finitely generated nilpotent groups of nilpotency class 2.<br />V2: removed reference to false result of other paper. Accepted for publication in Math. Z
- Subjects :
- Discrete mathematics
Pure mathematics
Polynomial
General Mathematics
010102 general mathematics
Group Theory (math.GR)
01 natural sciences
Upper and lower bounds
Nilpotent
Mathematics::Group Theory
Conjugacy class
0103 physical sciences
FOS: Mathematics
010307 mathematical physics
Finitely-generated abelian group
0101 mathematics
Nilpotent group
Mathematics - Group Theory
Quotient
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....6e8ad489ff7f19aa9a5b2d0b36e1cc79