2-minimal subgroups of orthogonal groups
نویسندگان
چکیده
For a finite group G, subgroup P of G is 2-minimal if B<P, where B=NG(S) for some Sylow 2-subgroup S and B contained in unique maximal P. fields odd characteristic, this paper contains detailed explicit description all the subgroups general orthogonal groups, certain their subgroups.
منابع مشابه
finite groups whose minimal subgroups are weakly h*-subgroups
let $g$ be a finite group. a subgroup $h$ of $g$ is called an $mathcal h $ -subgroup in $g$ if $n_g (h)cap h^gleq h$ for all $gin g$. a subgroup $h$ of $g$ is called a weakly $mathcal h^ast $-subgroup in $g$ if there exists a subgroup $k$ of $g$ such that $g=hk$ and $hcap k$ is an $mathcal h$-subgroup in $g$. we investigate the structure of the finite group $g$ under the assump...
متن کاملpartially $s$-embedded minimal subgroups of finite groups
suppose that $h$ is a subgroup of $g$, then $h$ is said to be $s$-permutable in $g$, if $h$ permutes with every sylow subgroup of $g$. if $hp=ph$ hold for every sylow subgroup $p$ of $g$ with $(|p|, |h|)=1$), then $h$ is called an $s$-semipermutable subgroup of $g$. in this paper, we say that $h$ is partially $s$-embedded in $g$ if $g$ has a normal subgroup $t$ such that $ht...
متن کاملpartially s-embedded minimal subgroups of finite groups
suppose that $h$ is a subgroup of $g$, then $h$ is said to be $s$-permutable in $g$, if $h$ permutes with every sylow subgroup of $g$. if $hp=ph$ hold for every sylow subgroup $p$ of $g$ with $(|p|, |h|)=1$), then $h$ is called an $s$-semipermutable subgroup of $g$. in this paper, we say that $h$ is partially $s$-embedded in $g$ if $g$ has a normal subgroup $t$ such that $ht...
متن کاملMaximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines
It is well known to devotees of the simple groups or of the classical groups that the special unitary group SUn(q ) is a subgroup of the commutator subgroup Q2n{q) of one of the orthogonal groups O2n{q). The geometry behind this containment is easy to describe (see Section 2). Regarding the field L = GF(q) as a vector space over K = GF(<jf) we obtain a bijection x -* x between the vector spaces...
متن کاملMaximal subgroups of finite orthogonal groups stabilizing spreads of lines
We prove that, for q odd and n ≥ 3, the group G = On(q) · 2 is maximal in either the orthogonal group O2n(q) or the special orthogonal group SO2n(q). The group G corresponds to the stabilizer of a spread of lines of PG(2n − 1, q) in which some lines lie on a quadric, some are secant to the quadric and others are external to the quadric.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.09.028