Some conditions implying that an infinite group is abelian

Luise-Charlotte Kappe; M. J. Tomkinson

Rendiconti del Seminario Matematico della Università di Padova (1998)

  • Volume: 100, page 187-209
  • ISSN: 0041-8994

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Kappe, Luise-Charlotte, and Tomkinson, M. J.. "Some conditions implying that an infinite group is abelian." Rendiconti del Seminario Matematico della Università di Padova 100 (1998): 187-209. <http://eudml.org/doc/108456>.

@article{Kappe1998,
author = {Kappe, Luise-Charlotte, Tomkinson, M. J.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {infinite groups; words; permutation properties; infinite sets of elements; central-by-finite groups; soluble-by-finite groups},
language = {eng},
pages = {187-209},
publisher = {Seminario Matematico of the University of Padua},
title = {Some conditions implying that an infinite group is abelian},
url = {http://eudml.org/doc/108456},
volume = {100},
year = {1998},
}

TY - JOUR
AU - Kappe, Luise-Charlotte
AU - Tomkinson, M. J.
TI - Some conditions implying that an infinite group is abelian
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1998
PB - Seminario Matematico of the University of Padua
VL - 100
SP - 187
EP - 209
LA - eng
KW - infinite groups; words; permutation properties; infinite sets of elements; central-by-finite groups; soluble-by-finite groups
UR - http://eudml.org/doc/108456
ER -

References

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  2. [2] V. Faber - R. LAVER - R. McKENZIE, Coverings of groups by abelian subgroups, Canad. J. Math., 30 (1978), pp. 933-945. Zbl0349.20015MR506252
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  5. [5] M. Hall, The Theory of Groups, TheMacmillan Company, New York (1959). Zbl0084.02202MR103215
  6. [6] L.-C. Kappe - M. J. TOMKINSON, ,Some conditions impLying that a group is abelian, Algebra Colloquium, 3 (1996), pp. 199-212. Zbl0855.20027MR1412650
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  12. [12] J.C. Lennox - J. WIEGOLD, Extensions of a problem of Paul Erdös on groups, J. Austral. Math. Soc., 31 (1981), pp. 459-463. Zbl0492.20019MR638274
  13. [13] B.H. Neumann, A probLem of Paul Erdös on groups, J. Austral. Math. Soc., 21 (1976), pp. 467-472. Zbl0333.05110MR419283
  14. [14] O. Puglisi - L.S. Spiezia, A combinatorial property of certain infinite groups, Comm. Algebra, 22 (1994), pp. 1457-1465. Zbl0803.20024MR1261270
  15. [15] D.J.S. Robinson, A Course in the Theory of Groups, Springer-Verlag, New York, Berlin, Heidelberg (1982). Zbl0483.20001MR648604
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  17. [17] M.J. Tomkinson, FC-Groups, Pitman, Boston, London, Melbourne (1973). Zbl0547.20031

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