Note on a Whitehead Product
نویسندگان
چکیده
منابع مشابه
A Note on Tensor Product of Graphs
Let $G$ and $H$ be graphs. The tensor product $Gotimes H$ of $G$ and $H$ has vertex set $V(Gotimes H)=V(G)times V(H)$ and edge set $E(Gotimes H)={(a,b)(c,d)| acin E(G):: and:: bdin E(H)}$. In this paper, some results on this product are obtained by which it is possible to compute the Wiener and Hyper Wiener indices of $K_n otimes G$.
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Using Paschke-Higson Duality [Hig][Pa], we get a natural index pairingKi(A)×Ki+1(DΦ) → Z where i = 0, 1(mod2) and A is a separable C ∗ -algebra, Φ is a representation of A on a separable Hilbert space H. We prove this is a special case of Kasparov Product [Kas].
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The short product of two power series is the meaningful part of the product of these objects, i.e., ∑ i+ j<n ai b j xi+ j . Mulders (AAECC 11 (2000) 69) gives an algorithm to compute a short product faster than the full product in the case of Karatsuba’s multiplication (Karatsuba and Ofman, Dokl. Akad. Nauk SSSR 145 (1962) 293). This algorithm works by selecting a cutoff point k and performing ...
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Let G and H be graphs. The tensor product G⊗H of G and H has vertex set V (G ⊗ H) = V (G) × V (H) and edge set E(G ⊗ H) = {(a, b)(c, d)|ac ∈ E(G) and bd ∈ E(H)}. In this paper, some results on this product are obtained by which it is possible to compute the Wiener and Hyper Wiener indices of Kn ⊗G.
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Let S be a non-empty subset of a group G. We say S is product-free if S ∩ SS = ∅, and S is locally maximal if whenever T is product-free and S ⊆ T , then S = T . Finally S fills G if G∗ ⊆ S t SS (where G∗ is the set of all non-identity elements of G), and G is a filled group if every locally maximal product-free set in G fills G. Street and Whitehead [8] investigated filled groups and gave a cl...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1966
ISSN: 0002-9939
DOI: 10.2307/2036106