Infinite locally finite simple groups with many complemented subgroups

Ferrara, Maria; Trombetti, Marco

doi:10.22108/ijgt.2021.129515.1700

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	Infinite locally finite simple groups with many complemented subgroups
International Journal of Group Theory
مقاله 5، دوره 11، شماره 3، آذر 2022، صفحه 191-200 اصل مقاله (475.23 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2021.129515.1700
نویسندگان
Maria Ferrara¹؛ Marco Trombetti^* ²
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

مراجع
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Infinite locally finite simple groups with many complemented subgroups