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Infinite locally finite simple groups with many complemented subgroups | ||
International Journal of Group Theory | ||
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 02 مهر 1400 اصل مقاله (218.21 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2021.129515.1700 | ||
نویسندگان | ||
Maria Ferrara![]() ![]() ![]() | ||
1Dipartimento di Matematica e Fisica, Universit degli Studi della Campania “Luigi Vanvitelli”, viale Lincoln 5, Caserta, Italy | ||
2Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Universit degli Studi di Napoli Federico II, Complesso Universitario Monte S. Angelo, Via Cintia, Napoli, Italy | ||
چکیده | ||
We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite locally finite field of characteristic~$3$. We also show that if the Sylow primary subgroups of a locally finite simple group $G$ have complemented subgroup lattice, then this is also the case for $G$. | ||
کلیدواژهها | ||
$K$-group؛ complemented subgroup؛ locally finite simple group | ||
آمار تعداد مشاهده مقاله: 544 تعداد دریافت فایل اصل مقاله: 33 |