Finite groups whose poset of conjugacy classes of subgroups is isomorphic to the one of an abelian group
Bollettino dell'Unione Matematica Italiana (1998)
- Volume: 1-B, Issue: 3, page 691-698
- ISSN: 0392-4041
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topMainardis, Mario. "Finite groups whose poset of conjugacy classes of subgroups is isomorphic to the one of an abelian group." Bollettino dell'Unione Matematica Italiana 1-B.3 (1998): 691-698. <http://eudml.org/doc/195358>.
@article{Mainardis1998,
author = {Mainardis, Mario},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {lattices of subgroups; posets of conjugacy classes of subgroups; supersolvable groups},
language = {eng},
month = {10},
number = {3},
pages = {691-698},
publisher = {Unione Matematica Italiana},
title = {Finite groups whose poset of conjugacy classes of subgroups is isomorphic to the one of an abelian group},
url = {http://eudml.org/doc/195358},
volume = {1-B},
year = {1998},
}
TY - JOUR
AU - Mainardis, Mario
TI - Finite groups whose poset of conjugacy classes of subgroups is isomorphic to the one of an abelian group
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/10//
PB - Unione Matematica Italiana
VL - 1-B
IS - 3
SP - 691
EP - 698
LA - eng
KW - lattices of subgroups; posets of conjugacy classes of subgroups; supersolvable groups
UR - http://eudml.org/doc/195358
ER -
References
top- BRANDL, R., Posets of subgroups in -groups, Comm. Algebra, 20 (1992), 3043-3054. Zbl0767.20008MR1179277
- BRANDL, R.- CUTOLO, G.- RINAURO, S., Posets of subgroups of groups and distributivity, Boll. Un. Mat. Ital. A (7), 9 (1995), 217-223. Zbl0837.20039MR1336231
- MAINARDIS, M., On the poset of conjugacy classes of subgroups of finite -groups (to appear). Zbl0886.20013MR1465108
- ROBINSON, D. J. S., A Course in the Theory of Groups, New York-Heidelberg-Berlin, 1982. Zbl0483.20001MR648604
- SCHMIDT, R., Subgroups Lattices of Groups, Berlin-New York, 1994. Zbl0843.20003MR1292462
- SUZUKI, M., Structure of a Group and the Structure of its Lattice of Subgroups, Berlin-Göttingen-Heidelberg, 1956. Zbl0070.25406MR83487
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