On sums of simply ordered groups
نویسندگان
چکیده
منابع مشابه
Fixed Points of Products and Ordered Sums of Simply Ordered Sets
Let A and B be simply ordered sets and A XB the cartesian product ordered by first differences. Sufficiency conditions are given on the sets A and B for the existence of fixed points in the set AXB (Theorem 2). Sufficiency conditions are given on the sets A, B, and C for the incomparability of the order types1 \A XB\ and \A XC\ (| CXA\ and | CXB\) (Corollary 2 of Theorem 7). The content of Theo...
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A finite group G is said to be simply reducible (SR-group) if it has the following two properties: 1) each element of G is conjugate to its inverse; 2) the tensor product of every two irreducible representations is decomposed as a sum of irreducible representations of G with multiplicities not exceeding 1. It is proved that a finite SR-group is solvable if it has no composition factors isomorph...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1958
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1958.100275