Injectors of fitting classes of -groups
Federico Menegazzo; Martin L. Newell
- Volume: 82, Issue: 4, page 623-637
- ISSN: 0392-7881
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topMenegazzo, Federico, and Newell, Martin L.. "Injectors of fitting classes of $\mathfrak{G}_{1}$-groups." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 82.4 (1988): 623-637. <http://eudml.org/doc/289066>.
@article{Menegazzo1988,
abstract = {Fitting classes and injectors are discussed in the class of $\mathfrak\{G\}_\{1\}$-groups. A necessary and sufficient condition for the existence of injectors is given; it is also shown that, when this condition holds, the injectors form a unique conjugacy class.},
author = {Menegazzo, Federico, Newell, Martin L.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Soluble groups; Fitting classes; Injectors},
language = {eng},
month = {12},
number = {4},
pages = {623-637},
publisher = {Accademia Nazionale dei Lincei},
title = {Injectors of fitting classes of $\mathfrak\{G\}_\{1\}$-groups},
url = {http://eudml.org/doc/289066},
volume = {82},
year = {1988},
}
TY - JOUR
AU - Menegazzo, Federico
AU - Newell, Martin L.
TI - Injectors of fitting classes of $\mathfrak{G}_{1}$-groups
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1988/12//
PB - Accademia Nazionale dei Lincei
VL - 82
IS - 4
SP - 623
EP - 637
AB - Fitting classes and injectors are discussed in the class of $\mathfrak{G}_{1}$-groups. A necessary and sufficient condition for the existence of injectors is given; it is also shown that, when this condition holds, the injectors form a unique conjugacy class.
LA - eng
KW - Soluble groups; Fitting classes; Injectors
UR - http://eudml.org/doc/289066
ER -
References
top- BEIDLEMAN, J.C., KARBE, M.J. and TOMKINSON, M.J. (1990) - Fitting classes of -groups, I (preprint). Zbl0666.20018
- FISCHER, B., GASCHÜTZ, W. and HARTLEY, B. (1967) - Injektoren endlicher auflösbaren Gruppen, Math. Z.102, 337-339. Zbl0183.02902MR223456
- ROBINSON, D.J.S. (1972) - Finiteness conditions and generalized soluble groups, Ergebnisse der Math.62, 63, Springer. Zbl0243.20033
- TOMKINSON, M.J. (1979) - Hypercentral injectors in infinite soluble groups, Proc. Edinburgh Math. Soc., 22, 191-194. Zbl0429.20038MR560978DOI10.1017/S0013091500016321
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