On some soluble groups in which U -subgroups form a lattice

Leonid A. Kurdachenko; Igor Ya. Subbotin

Commentationes Mathematicae Universitatis Carolinae (2007)

  • Volume: 48, Issue: 4, page 585-593
  • ISSN: 0010-2628

Abstract

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The article is dedicated to groups in which the set of abnormal and normal subgroups ( U -subgroups) forms a lattice. A complete description of these groups under the additional restriction that every counternormal subgroup is abnormal is obtained.

How to cite

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Kurdachenko, Leonid A., and Subbotin, Igor Ya.. "On some soluble groups in which $U$-subgroups form a lattice." Commentationes Mathematicae Universitatis Carolinae 48.4 (2007): 585-593. <http://eudml.org/doc/250231>.

@article{Kurdachenko2007,
abstract = {The article is dedicated to groups in which the set of abnormal and normal subgroups ($U$-subgroups) forms a lattice. A complete description of these groups under the additional restriction that every counternormal subgroup is abnormal is obtained.},
author = {Kurdachenko, Leonid A., Subbotin, Igor Ya.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {abnormal subgroups; $U$-subgroups; counternormal subgroups; abnormal subgroups; counternormal subgroups; lattices of subgroups; soluble groups},
language = {eng},
number = {4},
pages = {585-593},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On some soluble groups in which $U$-subgroups form a lattice},
url = {http://eudml.org/doc/250231},
volume = {48},
year = {2007},
}

TY - JOUR
AU - Kurdachenko, Leonid A.
AU - Subbotin, Igor Ya.
TI - On some soluble groups in which $U$-subgroups form a lattice
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2007
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 48
IS - 4
SP - 585
EP - 593
AB - The article is dedicated to groups in which the set of abnormal and normal subgroups ($U$-subgroups) forms a lattice. A complete description of these groups under the additional restriction that every counternormal subgroup is abnormal is obtained.
LA - eng
KW - abnormal subgroups; $U$-subgroups; counternormal subgroups; abnormal subgroups; counternormal subgroups; lattices of subgroups; soluble groups
UR - http://eudml.org/doc/250231
ER -

References

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  13. Subbotin I.Ya., Groups with alternatively normal subgroups, Izv. Vyssh. Uchebn. Zaved. Mat. 3 (1992), 86-88 English translation: Soviet. Math. 3 (1992), 87-89. (1992) Zbl0816.20030MR1204823

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