A note on groups with hamiltonian quotients

R. A. Bryce; John Cossey

Rendiconti del Seminario Matematico della Università di Padova (1998)

  • Volume: 100, page 1-11
  • ISSN: 0041-8994

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Bryce, R. A., and Cossey, John. "A note on groups with hamiltonian quotients." Rendiconti del Seminario Matematico della Università di Padova 100 (1998): 1-11. <http://eudml.org/doc/108457>.

@article{Bryce1998,
author = {Bryce, R. A., Cossey, John},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {norms of groups; normalizers; characteristic subgroups; ascending series of subgroups; non-Hamiltonian 2-groups; Hamiltonian factors},
language = {eng},
pages = {1-11},
publisher = {Seminario Matematico of the University of Padua},
title = {A note on groups with hamiltonian quotients},
url = {http://eudml.org/doc/108457},
volume = {100},
year = {1998},
}

TY - JOUR
AU - Bryce, R. A.
AU - Cossey, John
TI - A note on groups with hamiltonian quotients
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1998
PB - Seminario Matematico of the University of Padua
VL - 100
SP - 1
EP - 11
LA - eng
KW - norms of groups; normalizers; characteristic subgroups; ascending series of subgroups; non-Hamiltonian 2-groups; Hamiltonian factors
UR - http://eudml.org/doc/108457
ER -

References

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  1. [1] R. Baer, Gruppen mit Hamiltonschen Kern, Compositio Math., 2 (1935), pp. 241-246. JFM61.0101.02
  2. [2] G. Baumslag, Wreath products and p-groups, Proc. Cambridge Philos. Soc., 55 (1959), pp. 224-231. Zbl0089.01401MR105437
  3. [3] R.A. Bryce - J. CossEY, A note on Hamiltonian 2-groups, Rend. Sem. Mat. Univ. Padova, 86 (1991), pp. 175-182. Zbl0799.20023MR1154106
  4. [4] R. Dedekind, Über Gruppen deren sämtliche Teiler Normalteiler sind, Math. Ann., 48 (1897), pp. 548-561. Zbl28.0129.03MR1510943JFM28.0129.03
  5. [5] B. Huppert, Endliche Gruppen I, Springer-Verlag, Berlin, Heidelberg, New York (1967). Zbl0217.07201MR224703
  6. [6] D.H. McLain, Remarks on the upper central series of a group, Proc. Glasgow Math. Assoc., 3 (1956), pp. 38-44. Zbl0072.25702MR84498
  7. [7] M.F. Newman - E.A. O'Brien, A library for the groups of order 128, The Cayley Bulletin, No.3 (1987), pp. 74-75. 
  8. [8] E.A. Ormerod, Groups of Wielandt length two, Math. Proc. Cambridge Phil. Soc., 110 (1991), pp. 229-244. Zbl0741.20012MR1113421
  9. [9] E. Schenkman, On the norm of a group, Illinois J. Math., 4 (1960), pp. 150-152. Zbl0099.25104MR113928

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