Solvable finite groups with a particular configuration of Fitting sets
- Volume: 6, Issue: 1, page 13-22
- ISSN: 1120-6330
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topBubboloni, Daniela. "Solvable finite groups with a particular configuration of Fitting sets." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 6.1 (1995): 13-22. <http://eudml.org/doc/244314>.
@article{Bubboloni1995,
abstract = {A Fitting set is called elementary if it consists of the subnormal subgroups of the conjugates of a given subgroup. In this paper we analyse the structure of the finite solvable groups in which every Fitting set is the insiemistic union of elementary Fitting sets whose intersection is the subgroup 1.},
author = {Bubboloni, Daniela},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Solvable finite groups; Fitting sets; Nilpotent groups; Fitting classes; trace; subgroups; elementary Fitting sets},
language = {eng},
month = {3},
number = {1},
pages = {13-22},
publisher = {Accademia Nazionale dei Lincei},
title = {Solvable finite groups with a particular configuration of Fitting sets},
url = {http://eudml.org/doc/244314},
volume = {6},
year = {1995},
}
TY - JOUR
AU - Bubboloni, Daniela
TI - Solvable finite groups with a particular configuration of Fitting sets
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1995/3//
PB - Accademia Nazionale dei Lincei
VL - 6
IS - 1
SP - 13
EP - 22
AB - A Fitting set is called elementary if it consists of the subnormal subgroups of the conjugates of a given subgroup. In this paper we analyse the structure of the finite solvable groups in which every Fitting set is the insiemistic union of elementary Fitting sets whose intersection is the subgroup 1.
LA - eng
KW - Solvable finite groups; Fitting sets; Nilpotent groups; Fitting classes; trace; subgroups; elementary Fitting sets
UR - http://eudml.org/doc/244314
ER -
References
top- ANDERSON, W., Fitting sets in finite soluble groups. Ph. D. thesis, Michigan State University, 1973.
- DOERK, K. - HAWKES, T., Finite Soluble Groups. Berlin - New York1992. Zbl0753.20001MR1169099DOI10.1515/9783110870138
- HUPPERT, B., Endliche Gruppen I. Berlin - Heidelberg - New York1967. Zbl0412.20002MR224703
- ZACHER, G., Sull'ordine di un gruppo finito risolubile somma dei suoi sottogruppi di Sylow. Atti Acc. Lincei Rend. fis., s. 8, vol. 20, 1956, 171-174. Zbl0075.23906MR81283
- BUBBOLONI, D., Contributi alla teoria degli insiemi di Fitting. Tesi di dottorato, Università degli Studi di Firenze, 1992.
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