On the Order of Linear Homogeneous Groups (Supplement)
نویسندگان
چکیده
منابع مشابه
On the Order of Linear Homogeneous Groups
1. In the writer's theorems f on finite groups of linear homogeneous substitutions of determinant unity, a group of special nature called a self conjugate (or invariant) subgroup H plays an important rôle. There is a lack of completeness to these theorems due to the fact it has not been proved that H is actually less than the transitive (irreducible) group G in which, under certain conditions, ...
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15 صفحه اولTHE ORDER GRAPHS OF GROUPS
Let $G$ be a group. The order graph of $G$ is the (undirected)graph $Gamma(G)$,those whose vertices are non-trivial subgroups of $G$ and two distinctvertices $H$ and $K$ are adjacent if and only if either$o(H)|o(K)$ or $o(K)|o(H)$. In this paper, we investigate theinterplay between the group-theoretic properties of $G$ and thegraph-theoretic properties of $Gamma(G)$. For a finite group$G$, we s...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1906
ISSN: 0002-9947
DOI: 10.2307/1986244