# On a result of G. Baumslag

Martin D. Burrow; Arthur Steinberg

Compositio Mathematica (1989)

- Volume: 71, Issue: 3, page 241-245
- ISSN: 0010-437X

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topBurrow, Martin D., and Steinberg, Arthur. "On a result of G. Baumslag." Compositio Mathematica 71.3 (1989): 241-245. <http://eudml.org/doc/89974>.

@article{Burrow1989,

author = {Burrow, Martin D., Steinberg, Arthur},

journal = {Compositio Mathematica},

keywords = {finitely generated residually finite groups; isomorphic finite images; infinite cyclic groups; extensions; isomorphic automorphism groups},

language = {eng},

number = {3},

pages = {241-245},

publisher = {Kluwer Academic Publishers},

title = {On a result of G. Baumslag},

url = {http://eudml.org/doc/89974},

volume = {71},

year = {1989},

}

TY - JOUR

AU - Burrow, Martin D.

AU - Steinberg, Arthur

TI - On a result of G. Baumslag

JO - Compositio Mathematica

PY - 1989

PB - Kluwer Academic Publishers

VL - 71

IS - 3

SP - 241

EP - 245

LA - eng

KW - finitely generated residually finite groups; isomorphic finite images; infinite cyclic groups; extensions; isomorphic automorphism groups

UR - http://eudml.org/doc/89974

ER -

## References

top- 1 Baumslag, G., Residually finite groups with the same finite images. Comp. Math.29(3) (1974) 249-252. Zbl0309.20007MR357615
- 2 Brigham, R.C., On the isomorphism problem for just-infinite groups. Comm. Pure and Applied Math.XXIV (1971) 789-796. Zbl0217.07703MR288179
- 3 Cohn, P.M., The complement of a finitely generated direct summand of an abelian group, Proc. Amer. Math. Soc.7 (1956) 520-521. Zbl0070.25701MR78370
- 4 Grunewald, F.J., Pickel, P.F. and Segal, D., Polycyclic groups with isomorphic finite quotients. Annals of Math.111 (1980) 155-195. Zbl0431.20033MR558400
- 5 Grunewald, F.J. and Segal, D., On polycyclic groups with isomorphic finite quotients. Math. Proc. Cambridge Phil. Soc. 84 (1978b) 235-46. Zbl0388.20033MR491962
- 6 Hirshorn, R., On cancellation in groups. American Math. Monthly76 (1969) 1037-1039. Zbl0186.03801MR246971
- 7 Pickel, P.F., Finitely generated nilpotent groups with isomorphic finite quotients. Bull. Amer. Soc.77 (1971)a 216-19. Zbl0209.32804MR269739
- 8 Pickel, P.F., Finitely generated nilpotent groups with isomorphic finite quotients. Trans. Amer. Math. Soc.160 (1971b) 327-41. Zbl0235.20027MR291287
- 9 Pickel, P.F., Nilpotent-by-finite groups with isomorphic finite quotients. Trans. Amer. Math. Soc.183 (1973) 313-25. Zbl0273.20020MR384940
- 10 Pickel, P.F., Metabelian groups with the same finite quotients. Bull. Austral. Math. Soc.11 (1974) 115-20. Zbl0279.20025MR364455
- 11 Walker, E.A., Cancellation in direct sums of groups, Proc. Amer. Math. Soc.7 (1956) 898-902. Zbl0071.25203MR81440

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