Derivations and the permutability of subgroups in polycyclic-by-finite groups
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- by Derek J. S. Robinson
- Proc. Amer. Math. Soc. 130 (2002), 3461-3464
- DOI: https://doi.org/10.1090/S0002-9939-02-06486-9
- Published electronically: April 22, 2002
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Abstract:
It is shown that there is an algorithm to decide if two given subgroups of a polycyclic-by-finite group permute. This is accomplished by finding an algorithm which is able to determine if a derivation is surjective.References
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Bibliographic Information
- Derek J. S. Robinson
- Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, Illinois 61801
- Email: robinson@math.uiuc.edu
- Received by editor(s): May 29, 2001
- Received by editor(s) in revised form: July 5, 2001
- Published electronically: April 22, 2002
- Communicated by: Steven D. Smith
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3461-3464
- MSC (2000): Primary 20F10, 20F16
- DOI: https://doi.org/10.1090/S0002-9939-02-06486-9
- MathSciNet review: 1918821