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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Burrow, 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

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  1. 1 Baumslag, G., Residually finite groups with the same finite images. Comp. Math.29(3) (1974) 249-252. Zbl0309.20007MR357615
  2. 2 Brigham, R.C., On the isomorphism problem for just-infinite groups. Comm. Pure and Applied Math.XXIV (1971) 789-796. Zbl0217.07703MR288179
  3. 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. 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. 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. 6 Hirshorn, R., On cancellation in groups. American Math. Monthly76 (1969) 1037-1039. Zbl0186.03801MR246971
  7. 7 Pickel, P.F., Finitely generated nilpotent groups with isomorphic finite quotients. Bull. Amer. Soc.77 (1971)a 216-19. Zbl0209.32804MR269739
  8. 8 Pickel, P.F., Finitely generated nilpotent groups with isomorphic finite quotients. Trans. Amer. Math. Soc.160 (1971b) 327-41. Zbl0235.20027MR291287
  9. 9 Pickel, P.F., Nilpotent-by-finite groups with isomorphic finite quotients. Trans. Amer. Math. Soc.183 (1973) 313-25. Zbl0273.20020MR384940
  10. 10 Pickel, P.F., Metabelian groups with the same finite quotients. Bull. Austral. Math. Soc.11 (1974) 115-20. Zbl0279.20025MR364455
  11. 11 Walker, E.A., Cancellation in direct sums of groups, Proc. Amer. Math. Soc.7 (1956) 898-902. Zbl0071.25203MR81440

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