Residuals of the Join of Ascendant Subgroups
Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 1066-1068
Voir la notice de l'article provenant de la source Cambridge University Press
If G is a group, then we say H is an ascendant subgroup of G, and write H asc G, if there exists a sequence of subgroups (G α)α ≦ ρ where ρ is some ordinal number, such that G0 = H, Gp = G, G ρ ⊲ G α+1 for all α < ρ and G ƛ = ⋂ {Gα α| α ⊲ ƛ} for all limit ordinals λ ≦ ρ. (Gα) α ≦ ρ is said to be an ascending series from H to G.
Whitehead, Jennifer. Residuals of the Join of Ascendant Subgroups. Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 1066-1068. doi: 10.4153/CJM-1977-103-9
@article{10_4153_CJM_1977_103_9,
author = {Whitehead, Jennifer},
title = {Residuals of the {Join} of {Ascendant} {Subgroups}},
journal = {Canadian journal of mathematics},
pages = {1066--1068},
year = {1977},
volume = {29},
number = {5},
doi = {10.4153/CJM-1977-103-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-103-9/}
}
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