On some properties of pronormal subgroups
Leonid Kurdachenko; Alexsandr Pypka; Igor Subbotin
Open Mathematics (2010)
- Volume: 8, Issue: 5, page 840-845
- ISSN: 2391-5455
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topLeonid Kurdachenko, Alexsandr Pypka, and Igor Subbotin. "On some properties of pronormal subgroups." Open Mathematics 8.5 (2010): 840-845. <http://eudml.org/doc/269016>.
@article{LeonidKurdachenko2010,
abstract = {New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.},
author = {Leonid Kurdachenko, Alexsandr Pypka, Igor Subbotin},
journal = {Open Mathematics},
keywords = {Contranormal subgroup; Pronormal subgroup; Abnormal subgroup; Radical group; Soluble group; Ñ-group; contranormal subgroups; pronormal subgroups; abnormal subgroups; radical groups; soluble groups; groups with normalizer condition},
language = {eng},
number = {5},
pages = {840-845},
title = {On some properties of pronormal subgroups},
url = {http://eudml.org/doc/269016},
volume = {8},
year = {2010},
}
TY - JOUR
AU - Leonid Kurdachenko
AU - Alexsandr Pypka
AU - Igor Subbotin
TI - On some properties of pronormal subgroups
JO - Open Mathematics
PY - 2010
VL - 8
IS - 5
SP - 840
EP - 845
AB - New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.
LA - eng
KW - Contranormal subgroup; Pronormal subgroup; Abnormal subgroup; Radical group; Soluble group; Ñ-group; contranormal subgroups; pronormal subgroups; abnormal subgroups; radical groups; soluble groups; groups with normalizer condition
UR - http://eudml.org/doc/269016
ER -
References
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- [5] Kurdachenko L.A., Otal J., Subbotin I.Ya., Abnormal, pronormal, contranormal, and Carter subgroups in some generalized minimax groups, Comm. Algebra, 2005, 33(12), 4595–4616 http://dx.doi.org/10.1080/00927870500276551 Zbl1087.20021
- [6] Kurdachenko L.A., Subbotin I.Ya., Abnormal subgroups and Carter subgroups in some infinite groups, Algebra Discrete Math., 2005, 1, 69–83 Zbl1092.20027
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- [8] Rose J.S., Nilpotent subgroups of finite soluble groups, Math. Z., 1968, 106, 97–112 http://dx.doi.org/10.1007/BF01110717 Zbl0169.03402
- [9] Vincenzi G., Kurdachenko L.A., Russo A., On some groups all subgroups of which are near to pronormal, Ukrainian Math. J., 2007, 59(10), 1493–1500 http://dx.doi.org/10.1007/s11253-008-0007-x Zbl1164.20008
- [10] Wilson J.S., On periodic generalized nilpotent groups, Bull. Lond. Math. Soc., 1977, 9, 81–85 http://dx.doi.org/10.1112/blms/9.1.81 Zbl0362.20027
- [11] Wood G.J., On pronormal subgroups of finite soluble groups, Arch. Math. (Basel), 1974, 25, 578–585 Zbl0301.20011
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