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On groups with two isomorphism classes of central factors | ||
| International Journal of Group Theory | ||
| مقاله 8، دوره 7، شماره 1، خرداد 2018، صفحه 57-64 اصل مقاله (198.42 K) | ||
| نوع مقاله: Ischia Group Theory 2016 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2016.21218 | ||
| نویسنده | ||
| Serena Siani* | ||
| Universitamp;agrave; degli Studi di Salerno | ||
| چکیده | ||
| The structure of groups which have at most two isomorphism classes of central factors ($B_2$-groups) are investigated. A complete description of $B_2$-groups is obtained in the locally finite case and in the nilpotent case. In addition detailed information is obtained about soluble $B_2$-groups. Also structural information about insoluble $B_2$-groups is given, in particular when such a group has the derived subgroup satisfying the minimal condition. | ||
| کلیدواژه‌ها | ||
| Center؛ Isomorphism types؛ locally finite groups؛ locally graded groups | ||
| مراجع | ||
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[8] D. J. S. Robinson, A course in the theory of groups, Springer-Verlag, 1996.
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[10] H. Smith, J. Wiegold, Groups which are isomorphic to their non-abelian subgroups, Rend. Sem. Mat. Univ. Padova, 97 (1997) 7–16. | ||
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آمار تعداد مشاهده مقاله: 613 تعداد دریافت فایل اصل مقاله: 685 |
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