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Dardano, Ulderico, Rinauro, Silvana. (1394). On soluble groups whose subnormal subgroups are inert. , 4(2), 17-24. doi: 10.22108/ijgt.2015.9373
Ulderico Dardano; Silvana Rinauro. "On soluble groups whose subnormal subgroups are inert". , 4, 2, 1394, 17-24. doi: 10.22108/ijgt.2015.9373
Dardano, Ulderico, Rinauro, Silvana. (1394). 'On soluble groups whose subnormal subgroups are inert', , 4(2), pp. 17-24. doi: 10.22108/ijgt.2015.9373
Dardano, Ulderico, Rinauro, Silvana. On soluble groups whose subnormal subgroups are inert. , 1394; 4(2): 17-24. doi: 10.22108/ijgt.2015.9373

On soluble groups whose subnormal subgroups are inert

International Journal of Group Theory
مقاله 4، دوره 4، شماره 2، شهریور 2015، صفحه 17-24    اصل مقاله (194.79 K)
نوع مقاله: Ischia Group Theory 2014
شناسه دیجیتال (DOI): 10.22108/ijgt.2015.9373
نویسندگان
Ulderico Dardano* 1؛ Silvana Rinauro2
1Dipartimento Matematica e Appl., v. Cintia, M.S.Angelo 5a, I-80126 Napoli (Italy)
2Dipartimento di Matematica, Informatica ed Economia, Universita della Basilicata, Viale dell'Ateneo Lucano 10, I-85100
چکیده
A subgroup H of a group G is called inert if‎, ‎for each $g\in G$‎, ‎the index of $H\cap H^g$ in $H$ is finite‎. ‎We give a classification of soluble-by-finite groups $G$ in which subnormal subgroups are inert in the cases where $G$ has no nontrivial torsion normal subgroups or $G$ is finitely generated‎.
کلیدواژه‌ها
‎commensurable‎؛ ‎strongly inert‎؛ ‎finitely generated‎؛ ‎HNN-extension
مراجع
V. V. Belyaev, M. Kuzucuoglu and E. Seckin (1999) Totally inert groups Rend. Sem. Mat. Univ. Padova 102, 151-156
U. Dardano and S. Rinauro (2012) Inertial automorphisms of an abelian group Rend. Semin. Mat. Univ. Padova 127, 213-233
U. Dardano and S. Rinauro Inertial endomorphisms of an abelian group Ann. Mat. Pura Appl., to app ear, ( DOI: 10.1007/s10231-014-0459-6 )
U. Dardano and S. Rinauro (2014) On the ring of inertial endomorphisms of an abelian group Ric. Mat. 63 (1), 103-115
U. Dardano and S. Rinauro The group of inertial automorphisms of an abelian group (submitted), see also ( arXiv:1403.4193 )
M. De Falco, F. de Giovanni, C. Musella and N. Trabelsi (2013) Strongly Inertial Groups Comm. Algebra 41 (6), 2213-2227
M. R. Dixon, M. J. Evans and A. Tortora (2010) On totally inert simple groups Cent. Eur. J. Math. 8 (1), 22-25
F. de Giovanni (2013) Some Trends in the Theory of Groups with Restricted Conjugacy Classes Note Mat. 33 (1), 71-87
J. C. Lennox and D. J. S. Robinson (2004) The theory of infinite soluble groups Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, Oxford
D. J. S. Robinson (1996) A Course in the Theory of Groups second edition, Springer-Verlag, New York 80
D. J. S. Robinson (2006) On inert subgroups of a group Rend. Sem. Mat. Univ. Padova 115, 137-159
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