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.
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Krempa, J., & Stocka, A. (2013). On some invariants of finite groups. International Journal of Group Theory, 2(1), 109-115. doi: 10.22108/ijgt.2013.2642
MLA
Jan Krempa; Agnieszka Stocka. "On some invariants of finite groups", International Journal of Group Theory, 2, 1, 2013, 109-115. doi: 10.22108/ijgt.2013.2642
HARVARD
Krempa, J., Stocka, A. (2013). 'On some invariants of finite groups', International Journal of Group Theory, 2(1), pp. 109-115. doi: 10.22108/ijgt.2013.2642
VANCOUVER
Krempa, J., Stocka, A. On some invariants of finite groups. International Journal of Group Theory, 2013; 2(1): 109-115. doi: 10.22108/ijgt.2013.2642