A note on the normalizer of Sylow 2-subgroup of special linear group $SL_2(p^f)$
Let $G=SL_2(p^f)$ be a special linear group and $P$ be a Sylow $2$-subgroup of $G$, where $p$ is a prime and $f$ is a positive integer such that $p^f>3$. By $N_G(P)$ we denote the normalizer of $P$ in $G$. In this paper, we show that $N_G(P)$ is nilpotent (or $2$-nilpotent, or supersolvable) if a...
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| Format: | Article |
| Language: | English |
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University of Isfahan
2014-12-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://www.theoryofgroups.ir/pdf_4976_a69c9b523546d6cc0812f1d9027240e7.html |