Group theoretic properties inherited by lower central factors
Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 89-91
Voir la notice de l'article provenant de la source Cambridge University Press
Several properties are known to be inherited from the derived factor group of a group G by other factors Γi = γi(G)/γi + 1(G) of the lower central series. Derek Robinson proved [1] that the denning property of any class of groups which is closed under the forming of homomorphic images of tensor products is so inherited. Possibilities for here include the following classes.
Smith, Howard. Group theoretic properties inherited by lower central factors. Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 89-91. doi: 10.1017/S0017089500006698
@article{10_1017_S0017089500006698,
author = {Smith, Howard},
title = {Group theoretic properties inherited by lower central factors},
journal = {Glasgow mathematical journal},
pages = {89--91},
year = {1987},
volume = {29},
number = {1},
doi = {10.1017/S0017089500006698},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500006698/}
}
TY - JOUR AU - Smith, Howard TI - Group theoretic properties inherited by lower central factors JO - Glasgow mathematical journal PY - 1987 SP - 89 EP - 91 VL - 29 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500006698/ DO - 10.1017/S0017089500006698 ID - 10_1017_S0017089500006698 ER -
[1] 1.Robinson, D. J. S., A property of the lower central series of a group, Math. Z. 107 (1968), 225–231. Google Scholar | DOI
[2] 2.Smith, H., Hypercentral groups with all subgroups subnormal II, Bull. London Math. Soc. 18 (1986) 343–348. Google Scholar
[3] 3.Williams, J. P., The join of several subnormal subgroups, Math. Proc. Cambridge Philos. Soc. 92 (1982), 391–399. Google Scholar | DOI
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