References
M. A. Brodie, R. F. Chamberlain andL.-C. Kappe, Finite coverings by normal subgroups. Proc. Amer, Math. Soc.104, 669–674 (1988).
M. A. Brodie andL.-C. Kappe, Finite coverings by subgroups with a given property. Glasgow Math. J.35, 179–188 (1993).
P. Hall, Verbal and Marginal Subgroups. J. Reine Angew. Math.182, 156–157 (1940).
H. Heineren, Über ein Levisches Nilpotenzkriterium. Arch. Math.12, 176–178 (1961).
L.-C. Kappe, Finite coverings by 2-Engel Groups. Bull Austral. Math. Soc.38, 141–150 (1988).
F. W. Levi, Groups in which the commutator operation satisfies certain algebraic conditions. J. Indian Math. Soc.6, 87–97 (1942).
I. D. MacDonald, On certain varieties of groups. Math. Z.76, 270–282 (1961).
I. D. MacDonald, On certain varieties of groups II. Math. Z.78, 175–188 (1962).
B. H. Neumann, Groups covered by permutable subsets. J. London Math. Soc.29, 236–248 (1954).
H.Neumann, Varieties of Groups. Berlin-Heidelberg-New York 1967.
D. J. S.Robinson, A course in the theory of groups. Berlin-Heidelberg-New York 1982.
D. J. S.Robinson, Finiteness conditions and generalized soluble groups, Part I. Berlin-Heidelberg-New York 1972.
R. F. Turner-Smith, Marginal subgroup properties for outer commutator words. Proc. London Math. Soc. (3)14, 321–341 (1964).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brodie, M.A. Finiten-coverings of groups. Arch. Math 63, 385–392 (1994). https://doi.org/10.1007/BF01196666
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01196666