On Connected Transversals in the Projective Special Linear Group PSL(2, 7)
نویسندگان
چکیده
منابع مشابه
on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولCharacterization of some projective special linear groups in dimension four by their orders and degree patterns
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}
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):...
متن کاملConnected transversals to subnormal subgroups
Subnormal subgroups possessing connected transversals are briefly discussed.
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We prove that a finite group with nilpotent subgroup H and H-connected transversals is solvable. The proof depends on the classification of finite simple groups.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1994
ISSN: 0021-8693
DOI: 10.1006/jabr.1994.1162