نتایج جستجو برای: p group
تعداد نتایج: 1984042 فیلتر نتایج به سال:
a famous theorem of schur states that for a group $g$ finiteness of $g/z(g)$ implies the finiteness of $g'.$ the converse of schur's theorem is an interesting problem which has been considered by some authors. recently, podoski and szegedy proved the truth of the converse of schur's theorem for capable groups. they also established an explicit bound for the index of the center of such...
in this paper we find systems of subgroups of a finite group, which $bbb p$nobreakdash-hspace{0pt}subnormality guarantees supersolvability of the whole group.
let $g$ be a non-abelian group of order $p^n$, where $nleq 5$ in which $g$ is not extra special of order $p^5$. in this paper we determine the maximal size of subsets $x$ of $g$ with the property that $xyneq yx$ for any $x,y$ in $x$ with $xneq y$.
a $p$-group $g$ is called a $mathcal{cac}$-$p$-group if $c_g(h)/h$ is cyclic for every non-cyclic abelian subgroup $h$ in $g$ with $hnleq z(g)$. in this paper, we give a complete classification of finite $mathcal{cac}$-$p$-groups.
let g be a group. a subset x of g is a set of pairwise noncommuting elements if xy ̸= yx for any two distinct elements x and y in x. if |x| ≥ |y | for any other set of pairwise non-commuting elements y in g, then x is said to be a maximal subset of pairwise non-commuting elements. in this paper we determine the cardinality of a maximal subset of pairwise non-commuting elements in any non-abelian...
let $g$ be a non-abelian group of order $p^n$, where $nleq 5$ in which $g$ is not extra special of order $p^5$. in this paper we determine the maximal size of subsets $x$ of $g$ with the property that $xyneq yx$ for any $x,y$ in $x$ with $xneq y$.
nitric oxide (no) is a small molecule synthesized by most of mammalian cells with diverse biological activities including vasodilatation, host defense and wound healing. impaired wound healing is a common occurrence among diabetics and patients receiving glucocorticoid therapy. on the other hand the application of laser in biomedical area have been increased. thus, the current studies were desi...
this paper, deals with some equivalence relations in fuzzy subgroups. further the probability of commuting two fuzzy subgroups of some finite abelian groups is defined.
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