Geodesic
On a special class of finite 2-groups
Glasgow mathematical journal, Tome 34 (1992) no. 1, pp. 127-131

Voir la notice de l'article provenant de la source Cambridge University Press

In the course of classifying those finite groups F which have exactly five maximal subgroups, R. W. van der Waall [4] proved that one encounters the following situation. One class of such groups F is described by F = SP, where S = O2(F)∈Syl2(F), P ∈ Syl3(F), S/Φ(S) ≅ Z2 × Z2, P is cyclic and P operates via conjugation on 5 as a group of order 3, because in this case F/Φ(F) ≅ A4. 
Deaconescu, Marian. On a special class of finite 2-groups. Glasgow mathematical journal, Tome 34 (1992) no. 1, pp. 127-131. doi: 10.1017/S0017089500008624
@article{10_1017_S0017089500008624,
     author = {Deaconescu, Marian},
     title = {On a special class of finite 2-groups},
     journal = {Glasgow mathematical journal},
     pages = {127--131},
     year = {1992},
     volume = {34},
     number = {1},
     doi = {10.1017/S0017089500008624},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008624/}
}
TY  - JOUR
AU  - Deaconescu, Marian
TI  - On a special class of finite 2-groups
JO  - Glasgow mathematical journal
PY  - 1992
SP  - 127
EP  - 131
VL  - 34
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008624/
DO  - 10.1017/S0017089500008624
ID  - 10_1017_S0017089500008624
ER  - 
%0 Journal Article
%A Deaconescu, Marian
%T On a special class of finite 2-groups
%J Glasgow mathematical journal
%D 1992
%P 127-131
%V 34
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008624/
%R 10.1017/S0017089500008624
%F 10_1017_S0017089500008624

[1] 1.Gorenstein, D., Finite groups (Harper & Row, 1968). Google Scholar

[2] 2.Hall, M. and Senior, J. K., The Groups of Order 2n (n ≤ 6) (Macmillan, 1964). Google Scholar

[3] 3.Martin, U., Almost all p-groups have automorphism group a p-group, Bull. A.M.S. 15 (1) (1986), 78–82. Google Scholar | DOI

[4] 4.van der Waall, R. W., Finite groups with m maximal subgroups, m ≤ 7, Stevin, Simon, 50, 1 (1976), 23–40. Google Scholar

Cité par Sources :