Groups whose Sylow subgroups are the direct product of two semi-dihedral groups
نویسندگان
چکیده
منابع مشابه
Classification of finite simple groups whose Sylow 3-subgroups are of order 9
In this paper, without using the classification of finite simple groups, we determine the structure of finite simple groups whose Sylow 3-subgroups are of the order 9. More precisely, we classify finite simple groups whose Sylow 3-subgroups are elementary abelian of order 9.
متن کاملPOS-groups with some cyclic Sylow subgroups
A finite group G is said to be a POS-group if for each x in G the cardinality of the set {y in G | o(y) = o(x)} is a divisor of the order of G. In this paper we study the structure of POS-groups with some cyclic Sylow subgroups.
متن کاملfinite 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 کاملThe Sylow Subgroups of the Symmetric Groups
The aim of this paper is to give a direct approach to the study of the Sylow ^-subgroups Sn of the symmetric group of degree pn. [We assume throughout that p^2.] Many of the results are already known and are treated in a paper by Kaloujnine where he uses a particular representation by means of "reduced polynomials."1 It has seemed worth while to restate some of his results using the concept of ...
متن کاملFinite Groups Whose «-maximal Subgroups Are Subnormal
Introduction. Dedekind has determined all groups whose subgroups are all normal (see, e.g., [5, Theorem 12.5.4]). Partially generalizing this, Wielandt showed that a finite group is nilpotent, if and only if all its subgroups are subnormal, and also if and only if all maximal subgroups are normal [5, Corollary 10.3.1, 10.3.4]. Huppert [7, Sätze 23, 24] has shown that if all 2nd-maximal subgroup...
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: Illinois Journal of Mathematics
سال: 1973
ISSN: 0019-2082
DOI: 10.1215/ijm/1256051606