Groups with finite automorphism classes of subgroups

John Lennox; Federico Menegazzo; Howard Smith; James Wiegold

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 79, page 87-96
  • ISSN: 0041-8994

How to cite

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Lennox, John, et al. "Groups with finite automorphism classes of subgroups." Rendiconti del Seminario Matematico della Università di Padova 79 (1988): 87-96. <http://eudml.org/doc/108110>.

@article{Lennox1988,
author = {Lennox, John, Menegazzo, Federico, Smith, Howard, Wiegold, James},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {automorphism group; orbits of subgroups; endomorphism semigroup; abelian subgroups; boundedly finite orbits},
language = {eng},
pages = {87-96},
publisher = {Seminario Matematico of the University of Padua},
title = {Groups with finite automorphism classes of subgroups},
url = {http://eudml.org/doc/108110},
volume = {79},
year = {1988},
}

TY - JOUR
AU - Lennox, John
AU - Menegazzo, Federico
AU - Smith, Howard
AU - Wiegold, James
TI - Groups with finite automorphism classes of subgroups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 79
SP - 87
EP - 96
LA - eng
KW - automorphism group; orbits of subgroups; endomorphism semigroup; abelian subgroups; boundedly finite orbits
UR - http://eudml.org/doc/108110
ER -

References

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  1. [1] R. Baer, Finite extensions of abelian groups with minimum condition, Trans. Amer. Math. Soc., 79 (1955), pp. 521-540. Zbl0065.01001MR71425
  2. [2] I.I. Eremin, Groups with finite classes of conjugate abelian subgroups, Mat. Sb., 47 (1959), pp. 45-54. Zbl0107.01903MR106242
  3. [3] P. Hall - C.R. Kulatilaka, A property of locally finite groups, J. London Math. Soc., 39 (1964), pp. 235-239. Zbl0136.27903MR161907
  4. [4] L. Fuchs, Infinite Abelian Groups, New York and London, 1970. Zbl0209.05503
  5. [5] B. Huppert, Endliche Gruppen I, Springer-Verlag, Berlin-Heidelberg-New York, 1967. Zbl0217.07201MR224703
  6. [6] B.H. Neumann, Groups with finite classes of conjugate subgroups, Math. Z., 63 (1954), pp. 235-248. Zbl0064.25201MR72137
  7. [7] D.J.S. Robinson - J. Wiegold, Groups with boundedly finite automorphism classes, Rend. Sem. Mat. Univ. Padova, 71 (1984), pp. 273-286. Zbl0543.20025MR769443
  8. [8] J. Wiegold, Multiplicators and groups with finite central factor-groups, Math. Z., 89 (1965), pp. 345-347. Zbl0134.03002MR179262

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