Pushing up by 2'-automorphisms of a Sylow 2-subgroup
نویسندگان
چکیده
منابع مشابه
a note on the normalizer of sylow 2-subgroup of special linear group $sl_2(p^f)$
let $g={rm sl}_2(p^f)$ 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 and only if $p^{2f}equiv 1,({rm mod},16)$.
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1992
ISSN: 0025-5645
DOI: 10.2969/jmsj/04440701