Finite groups whose poset of conjugacy classes of subgroups is isomorphic to the one of an abelian group
Mainardis, Mario
Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998), p. 691-698 / Harvested from Biblioteca Digitale Italiana di Matematica
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Si determinano i gruppi finiti il cui insieme parzialmente ordinato delle classi di coniugio dei sottogruppi è isomorfo a quello di un gruppo abeliano.

Publié le : 1998-10-01
@article{BUMI_1998_8_1B_3_691_0,
     author = {Mario Mainardis},
     title = {Finite groups whose poset of conjugacy classes of subgroups is isomorphic to the one of an abelian group},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {1-A},
     year = {1998},
     pages = {691-698},
     zbl = {0911.20019},
     mrnumber = {1662278},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1998_8_1B_3_691_0}
}

Mainardis, Mario. Finite groups whose poset of conjugacy classes of subgroups is isomorphic to the one of an abelian group. Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998) pp. 691-698. http://gdmltest.u-ga.fr/item/BUMI_1998_8_1B_3_691_0/

[1] Brandl, R., Posets of subgroups in p-groups, Comm. Algebra, 20 (1992), 3043-3054. | MR 1179277 | Zbl 0767.20008

[2] Brandl, R.-Cutolo, G.-Rinauro, S., Posets of subgroups of groups and distributivity, Boll. Un. Mat. Ital. A (7), 9 (1995), 217-223. | MR 1336231 | Zbl 0837.20039

[3] Mainardis, M., On the poset of conjugacy classes of subgroups of finite p-groups (to appear). | MR 1465108 | Zbl 0886.20013

[4] Robinson, D. J. S., A Course in the Theory of Groups, New York-Heidelberg-Berlin, 1982. | MR 648604 | Zbl 0483.20001

[5] Schmidt, R., Subgroups Lattices of Groups, Berlin-New York, 1994. | MR 1292462 | Zbl 0843.20003

[6] Suzuki, M., Structure of a Group and the Structure of its Lattice of Subgroups, Berlin-Göttingen-Heidelberg, 1956. | MR 83487 | Zbl 0070.25406