A characterization of projective special unitary group U3(5) by nse
نویسندگان
چکیده
منابع مشابه
Characterization of projective special linear groups in dimension three by their orders and degree patterns
The prime graph $Gamma(G)$ of a group $G$ is a graph with vertex set $pi(G)$, the set of primes dividing the order of $G$, and two distinct vertices $p$ and $q$ are adjacent by an edge written $psim q$ if there is an element in $G$ of order $pq$. Let $pi(G)={p_{1},p_{2},...,p_{k}}$. For $pinpi(G)$, set $deg(p):=|{q inpi(G)| psim q}|$, which is called the degree of $p$. We also set $D(G):...
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Let $G$ be a finite group. The degree pattern of $G$ denoted by $D(G)$ is defined as follows: If $pi(G)={p_{1},p_{2},...,p_{k}}$ such that $p_{1}
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let $pi_e(g)$ be the set of element orders of a finite group $g$. let $nse(g)={m_nmid ninpi_e(g)}$, where $m_n$ be the number of elements of order $n$ in $g$. in this paper, we prove that if $nse(g)=nse(l_2(81))$, then $gcong l_2(81)$.
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متن کاملcharacterization of projective special linear groups in dimension three by their orders and degree patterns
the prime graph $gamma(g)$ of a group $g$ is a graph with vertex set $pi(g)$, the set of primes dividing the order of $g$, and two distinct vertices $p$ and $q$ are adjacent by an edge written $psim q$ if there is an element in $g$ of order $pq$. let $pi(g)={p_{1},p_{2},...,p_{k}}$. for $pinpi(g)$, set $deg(p):=|{q inpi(g)| psim q}|$, which is called the degree of $p$. we also set $d(g):...
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ژورنال
عنوان ژورنال: Arab Journal of Mathematical Sciences
سال: 2014
ISSN: 1319-5166
DOI: 10.1016/j.ajmsc.2013.05.004