Finite co-Dedekindian groups
Glasgow mathematical journal, Tome 38 (1996) no. 2, pp. 163-169
Voir la notice de l'article provenant de la source Cambridge University Press
A group G is called Dedekindian if every subgroup ofG is normal in G.The structure of the finite Dedekindian groups is well-known [3, Satz 7.12]. They are either abelian or direct products of the form Q × A × B, where Q is the quaternion group of order 8, Ais abelian of odd order and exp(B) ≤ 2.
Deaconescu, Marian; Silberberg, Gheorghe. Finite co-Dedekindian groups. Glasgow mathematical journal, Tome 38 (1996) no. 2, pp. 163-169. doi: 10.1017/S0017089500031396
@article{10_1017_S0017089500031396,
author = {Deaconescu, Marian and Silberberg, Gheorghe},
title = {Finite {co-Dedekindian} groups},
journal = {Glasgow mathematical journal},
pages = {163--169},
year = {1996},
volume = {38},
number = {2},
doi = {10.1017/S0017089500031396},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031396/}
}
TY - JOUR AU - Deaconescu, Marian AU - Silberberg, Gheorghe TI - Finite co-Dedekindian groups JO - Glasgow mathematical journal PY - 1996 SP - 163 EP - 169 VL - 38 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031396/ DO - 10.1017/S0017089500031396 ID - 10_1017_S0017089500031396 ER -
[1] 1.Curran, M. J. and McCaughan, D. J., Central automorphisms of finite groups, Bull. Austral. Math. Soc. 34 (1986),191–198. Google Scholar
[2] 2.Gorenstein, D., Finite groups (Harper and Row, 1968). Google Scholar
[3] 3.Huppert, B., Endliche Gruppen I (Springer Verlag, 1967). Google Scholar | DOI
[4] 4.Scorza, G., I gruppi che possono pensarsi come somma di tre loro sottigruppi, Boll. Un. Mat. Ital.. 5 (1926), 216–218. Google Scholar
Cité par Sources :