نتایج جستجو برای: simple groups
تعداد نتایج: 1159051 فیلتر نتایج به سال:
Let $L := U_3(11)$. In this article, we classify groups with the same order and degree pattern as an almost simple group related to $L$. In fact, we prove that $L$, $L:2$ and $L:3$ are OD-characterizable, and $L:S_3$ is $5$-fold OD-characterizable.
In this paper, it is proved that all simple $K_4$-groups of type $L_2(q)$ can be characterized by their maximum element orders together with their orders. Furthermore, the automorphism groups of simple $K_4$-groups of type $L_2(q)$ are also considered.
let $g$ be a finite group and let $text{cd}(g)$ be the set of all complex irreducible character degrees of $g$. b. huppert conjectured that if $h$ is a finite nonabelian simple group such that $text{cd}(g) =text{cd}(h)$, then $gcong h times a$, where $a$ is an abelian group. in this paper, we verify the conjecture for ${f_4(2)}.$
let $g$ be a finite group and let $gk(g)$ be the prime graph of $g$. we assume that $ngeqslant 5 $ is an odd number. in this paper, we show that the simple groups $b_n(3)$ and $c_n(3)$ are 2-recognizable by their prime graphs. as consequences of the result, the characterizability of the groups $b_n(3)$ and $c_n(3)$ by their spectra and by the set of orders of maximal abelian subgroups are obtai...
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