On some soluble groups in which $U$-subgroups form a lattice
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 4, pp. 585-593
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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.
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.
Classification :
20E07, 20E15, 20F16
Keywords: abnormal subgroups; $U$-subgroups; counternormal subgroups
Keywords: abnormal subgroups; $U$-subgroups; counternormal subgroups
@article{CMUC_2007_48_4_a2,
author = {Kurdachenko, Leonid A. and Subbotin, Igor Ya.},
title = {On some soluble groups in which $U$-subgroups form a lattice},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {585--593},
year = {2007},
volume = {48},
number = {4},
mrnumber = {2375160},
zbl = {1174.20310},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2007_48_4_a2/}
}
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 SP - 585 EP - 593 VL - 48 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_2007_48_4_a2/ LA - en ID - CMUC_2007_48_4_a2 ER -
Kurdachenko, Leonid A.; Subbotin, Igor Ya. On some soluble groups in which $U$-subgroups form a lattice. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 4, pp. 585-593. http://geodesic.mathdoc.fr/item/CMUC_2007_48_4_a2/