Breaking points in the poset of conjugacy classes of subgroups of a finite group
Czechoslovak Mathematical Journal (2019)
- Volume: 69, Issue: 4, page 1081-1087
- ISSN: 0011-4642
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topTărnăuceanu, Marius. "Breaking points in the poset of conjugacy classes of subgroups of a finite group." Czechoslovak Mathematical Journal 69.4 (2019): 1081-1087. <http://eudml.org/doc/294809>.
@article{Tărnăuceanu2019,
abstract = {We determine the finite groups whose poset of conjugacy classes of subgroups has breaking points. This leads to a new characterization of the generalized quaternion $2$-groups. A generalization of this property is also studied.},
author = {Tărnăuceanu, Marius},
journal = {Czechoslovak Mathematical Journal},
keywords = {breaking point; poset of conjugacy classes of subgroups; interval; generalized quaternion $2$-group},
language = {eng},
number = {4},
pages = {1081-1087},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Breaking points in the poset of conjugacy classes of subgroups of a finite group},
url = {http://eudml.org/doc/294809},
volume = {69},
year = {2019},
}
TY - JOUR
AU - Tărnăuceanu, Marius
TI - Breaking points in the poset of conjugacy classes of subgroups of a finite group
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 4
SP - 1081
EP - 1087
AB - We determine the finite groups whose poset of conjugacy classes of subgroups has breaking points. This leads to a new characterization of the generalized quaternion $2$-groups. A generalization of this property is also studied.
LA - eng
KW - breaking point; poset of conjugacy classes of subgroups; interval; generalized quaternion $2$-group
UR - http://eudml.org/doc/294809
ER -
References
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