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Groups with reality and conjugacy conditions | ||
International Journal of Group Theory | ||
مقاله 3، دوره 1، شماره 2، شهریور 2012، صفحه 25-38 اصل مقاله (446.45 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2012.715 | ||
نویسندگان | ||
David Chillag؛ Patrizia Longobardi؛ Mercede Maj* | ||
Dipartimento di Matematica Universit`a di Salerno Via Ponte don Melillo 84084 - Fisciano (SA), Italy | ||
چکیده | ||
Many results were proved on the structure of finite groups with some restrictions on their real elements and on their conjugacy classes. We generalize a few of these to some classes of infinite groups. We study groups in which real elements are central, groups in which real elements are $2$-elements, groups in which all non-trivial classes have the same finite size and $FC$-groups with two non-trivial conjugacy class sizes. | ||
کلیدواژهها | ||
Conjugacy classes؛ real elements؛ FC-groups | ||
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