Residually finite groups with the same finite images

Gilbert Baumslag

Compositio Mathematica (1974)

  • Volume: 29, Issue: 3, page 249-252
  • ISSN: 0010-437X

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Baumslag, Gilbert. "Residually finite groups with the same finite images." Compositio Mathematica 29.3 (1974): 249-252. <http://eudml.org/doc/89238>.

@article{Baumslag1974,
author = {Baumslag, Gilbert},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {249-252},
publisher = {Noordhoff International Publishing},
title = {Residually finite groups with the same finite images},
url = {http://eudml.org/doc/89238},
volume = {29},
year = {1974},
}

TY - JOUR
AU - Baumslag, Gilbert
TI - Residually finite groups with the same finite images
JO - Compositio Mathematica
PY - 1974
PB - Noordhoff International Publishing
VL - 29
IS - 3
SP - 249
EP - 252
LA - eng
UR - http://eudml.org/doc/89238
ER -

References

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  1. [1] R.C. Brigham: On the isomorphism problem for just-infinite groups. Comm. Pure and Applied Math.XXIV. (1971) 789-796. Zbl0217.07703MR288179
  2. [2] L.L. Dyer: On the isomorphism problem for polycyclic groups. Math. Zeitsch.112 (1969) 145-153. Zbl0186.31901MR252490
  3. [3] G.H. Hardy and E.M. Wright: An introduction to the theory of numbers. Clarendon Press, Oxford. Zbl0020.29201MR568909
  4. [4] G. Higman: Unpublished. 
  5. [5] K.A. Hirsch: On infinite solvable groups. II. Proc. London Math. Soc. (2) 44 (1938) 336-344. Zbl0019.15602JFM64.0066.01
  6. [6] R. Hirshon: On cancellation in groups. American Math. Monthly76 (1969), 1037-1039. Zbl0186.03801MR246971
  7. [7] H. Neumann: Varieties of groups, Ergebnisse der Math. und ihrer Grenzgebiete, Band 37. Springer-Verlag, New York, 1967, MR. 35 # 6734. Zbl0251.20001MR215899
  8. [8] R. Remak: Über die Zerlegung der endlichen Gruppen in direkte unzerlegbare Faktoren. J. reine angew. Math.139 (1911) 293-308. Zbl42.0156.01JFM42.0156.01
  9. [9] V.N. Remeslennikov: Conjugacy of subgroups in nilpotent groups. Algebra i Logika Sem.6 (1967) no. 261-76. (Russian) MR. 36 # 1545. Zbl0189.30902MR218459
  10. [10] E.A. Walker: Cancellation in direct sums of groups. Contributions to the theory of groups (1956) 101-129. University of Kansas. MR81440

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