On some invariants of finite groups

Krempa, Jan; Stocka, Agnieszka

doi:10.22108/ijgt.2013.2642

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	On some invariants of finite groups
International Journal of Group Theory
مقاله 9، دوره 2، شماره 1، خرداد 2013، صفحه 109-115 اصل مقاله (411.32 K)
نوع مقاله: Ischia Group Theory 2012
شناسه دیجیتال (DOI): 10.22108/ijgt.2013.2642
نویسندگان
Jan Krempa¹؛ Agnieszka Stocka^* ²
¹Institute of Mathematics, University of Warsaw
²Institute of Mathematics University of Białystok
چکیده
A normal subgroup $N$ of a group $G$ is said to be an‎ omissible subgroup of $G$ if it has the following property‎: ‎whenever $X\leq G$ is such that $G=XN$‎, ‎then $G=X$‎. ‎In this note we construct various groups $G$‎, ‎each of which has an omissible subgroup $N\neq 1$ such that $G/N\cong SL_2(k)$ where $k$ is a field of positive characteristic‎.
کلیدواژه‌ها
generating set, independent set, (p؛ q)-group, lattice of subgroups

مراجع
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On some invariants of finite groups