Geodesic
Metacyclic p-groups and their conjugacy classes of subgroups
Glasgow mathematical journal, Tome 35 (1993) no. 3, pp. 339-344

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

Let G be a group and let l(G) be the set of all conjugacy classes [H] of subgroups H of G, where a partial order ≤ is defined by [H1] ≤ [H2] if and only if H1, is contained in some conjugate of H2.A number of papers (see for example [1] and the references mentioned there) deal with the question of characterizing groups G by the poset l(G). For example, in [1] it was shown that if l(G) and l(H) are order-isomorphic and G is a noncyclic p-group then |G| = |H|. Moreover, if G is abelian, then G = H, and if G is metacyclic then H is metacyclic. 
Brandl, Rolf; Verardi, Libero. Metacyclic p-groups and their conjugacy classes of subgroups. Glasgow mathematical journal, Tome 35 (1993) no. 3, pp. 339-344. doi: 10.1017/S0017089500009915
@article{10_1017_S0017089500009915,
     author = {Brandl, Rolf and Verardi, Libero},
     title = {Metacyclic p-groups and their conjugacy classes of subgroups},
     journal = {Glasgow mathematical journal},
     pages = {339--344},
     year = {1993},
     volume = {35},
     number = {3},
     doi = {10.1017/S0017089500009915},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500009915/}
}
TY  - JOUR
AU  - Brandl, Rolf
AU  - Verardi, Libero
TI  - Metacyclic p-groups and their conjugacy classes of subgroups
JO  - Glasgow mathematical journal
PY  - 1993
SP  - 339
EP  - 344
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500009915/
DO  - 10.1017/S0017089500009915
ID  - 10_1017_S0017089500009915
ER  - 
%0 Journal Article
%A Brandl, Rolf
%A Verardi, Libero
%T Metacyclic p-groups and their conjugacy classes of subgroups
%J Glasgow mathematical journal
%D 1993
%P 339-344
%V 35
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500009915/
%R 10.1017/S0017089500009915
%F 10_1017_S0017089500009915

[1] 1.Brandl, R., Posets of subgroups in p-groups. Comm. Algebra, 20 (10) (1992), 3043–3054. Google Scholar

[2] 2.Brandl, R., Caranti, A. and Scoppola, C. M., Metabelian thin p-groups, Quart. J. Math. (Oxford), (2) 43 (1992), 157–173. Google Scholar | DOI

[3] 3.Heineken, H., Charakterisierung von Gruppen durch gewisse Untergruppenverbande, J. Reine Angew. Math. 220 (1965), 30–36. Google Scholar

[4] 4.Huppert, B., Endliche Gruppen I, Springer-Verlag, Berlin Heidelberg New York 1967. Google Scholar

[5] 5.King, B. W., Presentations of metacyclic groups. Bull. Austral. Math. Soc. 8 (1973), 103–131. Google Scholar

Cité par Sources :