Groups with permutability conditions for subgroups of infinite rank

De Luca, Anna Valentina; Ialenti, Roberto

doi:10.22108/ijgt.2017.21483

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	Groups with permutability conditions for subgroups of infinite rank
International Journal of Group Theory
مقاله 3، دوره 7، شماره 3، آذر 2018، صفحه 7-16 اصل مقاله (210.93 K)
نوع مقاله: Ischia Group Theory 2016
شناسه دیجیتال (DOI): 10.22108/ijgt.2017.21483
نویسندگان
Anna Valentina De Luca^* ¹؛ Roberto Ialenti²
¹Dipartimento di Matematica e Fisica, Universit&agrave; degli Studi della Campania &quot;Luigi Vanvitelli&quot;
²Dipartimento di Matematica e Applicazioni Renato Caccioppoli - Università degli Studi di Napoli Federico II
چکیده
In this paper, the structure of non-periodic generalized radical groups of infinite rank whose subgroups of infinite rank satisfy a suitable permutability condition is investigated.
کلیدواژه‌ها
Group of infinite rank؛ almost permutable subgroup؛ nearly permutable subgroup

مراجع
[1] M. De Falco, F. de Giovanni and C. Musella, Groups with normality conditions for subgroups of infinite rank, Publ. Mat., 58 (2014) 331–340. [2] M. De Falco, F. de Giovanni and C. Musella, Large soluble groups and the control of embedding properties, Ric. Mat., 63 (2014) 117–130. [3] M. De Falco, F. de Giovanni, C. Musella and Y. P. Sysak, Groups in which every subgroup is nearly permutable, Forum Math., 15 (2003) 665–677. [4] F. de Giovanni and C. Musella, Groups with nearly modular subgroup lattice, Colloq. Math., 88 (2001) 13–20. [5] F. de Giovanni, C. Musella and Y. P. Sysak, Groups with almost modular subgroup lattice, J. Algebra, 243 (2001) 738–764. [6] K. Iwasawa, On the structure of infinite M-groups, Japan J. Math., 18 (1943) 709–728. [7] B. H. Neumann, Groups with finite classes of conjugate subgroups, Math. Z., 63 (1955) 76–96. [8] O. Ore, Structures and group theory, I. Duke Math. J., 3 (1937) 149–173. [9] D. J. S. Robinson, Finiteness conditions and generalized soluble groups, Springer, Berlin, 1972. [10] R. Schmidt, Subgroup lattices of groups, de Gruyter, Berlin, 1994. [11] M. J. Tomkinson, FC-groups, Pitman, Boston, 1984.
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Groups with permutability conditions for subgroups of infinite rank