Solitary quotients of finite groups
Open Mathematics (2012)
- Volume: 10, Issue: 2, page 740-747
- ISSN: 2391-5455
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topMarius Tărnăuceanu. "Solitary quotients of finite groups." Open Mathematics 10.2 (2012): 740-747. <http://eudml.org/doc/269796>.
@article{MariusTărnăuceanu2012,
abstract = {We introduce and study the lattice of normal subgroups of a group G that determine solitary quotients. It is closely connected to the well-known lattice of solitary subgroups of G, see [Kaplan G., Levy D., Solitary subgroups, Comm. Algebra, 2009, 37(6), 1873–1883]. A precise description of this lattice is given for some particular classes of finite groups.},
author = {Marius Tărnăuceanu},
journal = {Open Mathematics},
keywords = {Isomorphic copy; Solitary subgroups/quotients; Lattices; Chains; Subgroup lattices; Normal subgroup lattices; Dualities; solitary subgroups; solitary quotients; subgroup lattices; finite Abelian groups; lattices of normal subgroups; finite groups; isomorphism types of subgroups; normal solitary subgroups; dualities},
language = {eng},
number = {2},
pages = {740-747},
title = {Solitary quotients of finite groups},
url = {http://eudml.org/doc/269796},
volume = {10},
year = {2012},
}
TY - JOUR
AU - Marius Tărnăuceanu
TI - Solitary quotients of finite groups
JO - Open Mathematics
PY - 2012
VL - 10
IS - 2
SP - 740
EP - 747
AB - We introduce and study the lattice of normal subgroups of a group G that determine solitary quotients. It is closely connected to the well-known lattice of solitary subgroups of G, see [Kaplan G., Levy D., Solitary subgroups, Comm. Algebra, 2009, 37(6), 1873–1883]. A precise description of this lattice is given for some particular classes of finite groups.
LA - eng
KW - Isomorphic copy; Solitary subgroups/quotients; Lattices; Chains; Subgroup lattices; Normal subgroup lattices; Dualities; solitary subgroups; solitary quotients; subgroup lattices; finite Abelian groups; lattices of normal subgroups; finite groups; isomorphism types of subgroups; normal solitary subgroups; dualities
UR - http://eudml.org/doc/269796
ER -
References
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- [11] Tărnăuceanu M., Groups Determined by Posets of Subgroups, Matrix Rom, Bucharest, 2006 Zbl1123.20001
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