Published articles
no. 1
Epimorphism testing with virtually Abelian targets
Stefan Friedl1; Clara Löh1
1 Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany
Confluentes Mathematici, Volume 13 (2021) no. 1, pp. 61-78.

We show that the epimorphism problem is solvable for targets that are virtually cyclic or a product of an Abelian group and a finite group.

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DOI: 10.5802/cml.72
Classification: 20E18, 20F65
Keywords: residual properties of groups, algorithms on groups

Stefan Friedl 1; Clara Löh 1

1 Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany
License: CC-BY-NC-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Stefan Friedl; Clara Löh. Epimorphism testing with virtually Abelian targets. Confluentes Mathematici, Volume 13 (2021) no. 1, pp. 61-78. doi : 10.5802/cml.72. https://cml.centre-mersenne.org/articles/10.5802/cml.72/

[1] G. Baumslag. Residually finite groups with the same finite images, Compos. Math. 29, 249-252, 1974. | DOI | MR | Zbl

[2] K. S. Brown. Cohomology of Groups, volume 87 of Graduate Texts in Mathematics, Springer, 1982. | DOI | Zbl

[3] H. Cohen. A course in computational algebraic number theory, volume 138 of Graduate Texts in Mathematics, Springer, 1993. | DOI | Zbl

[4] C. Löh. Geometric group theory. An introduction, Universitext, Springer, 2017. | DOI | Zbl

[5] W. Magnus, A. Karrass, D. Solitar. Combinatorial Group Theory. Presentations of Groups in Terms of Generators and Relations, second revised edition, Dover, 1976. | DOI | MR | Zbl

[6] C. F. Miller III. Decision problems for groups-survey and reflections, Algorithms and classification in combinatorial group theory (Berkeley, CA, 1989), 1–59, Math. Sci. Res. Inst. Publ., 23, Springer, 1992. | DOI | Zbl

[7] V. N. Remeslennikov. An algorithmic problem for nilpotent groups and rings, Sibirsk. Mat. Zh., 20(5), 1077–1081, 1979. | DOI | MR | Zbl

[8] L. Ribes and P. Zalesskii. Profinite groups, Second edition, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics 40. Springer-Verlag, Berlin, 2010. | DOI | Zbl

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