共查询到20条相似文献,搜索用时 15 毫秒
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LetG=H 1* A H 2 a free product with amalgamation with $$H_1 = \left\langle {s_1 ,...,s_m |s_1^{\alpha _1 } = ... = s_m^{\alpha _m } = 1} \right\rangle ,\alpha _i \geqslant 2,m \geqslant 2,$$ a free product ofm cyclic groups. If we ask for the generation ofG, the following questions are significant: 1) For which α i andm there is a set {x 1, ...,x m } of. generators ofH 1 withx 1=(s 1...s m )α, α≥2, and what can we say about α andx 2, ...,x m ? 2) for which α i andm there is a set {x 1, ...,x m } of generators ofH 1 withx 1=(s 1...s m )α x 2=h(s 1...s m )β h ?1, α>0, β>0,h∈H 1, and what can we say about α, β,h andx 3, ...,x m ? In this note we give a complete solution of these questions. 相似文献
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J. Duttlinger 《Archiv der Mathematik》1971,22(1):70-71
Ohne ZusammenfassungNach einer Anregung von Herrn H. G.Diamond. 相似文献
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Dr. Hans G. Schönwald 《Monatshefte für Mathematik》1975,80(2):141-143
In the literature there are known homogeneous polynomialsP(x 1,...,x n) with real coefficients, for which \(P(x_1 ,...,x_n ) \leqslant P(\bar x,...,\bar x)\) for allx i≥0, and \(\bar x = (x_1 + ... + x_n )/n\) . This paper gives two theorems, which lead to new polynomials of this kind. 相似文献
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Pd. Dr. Peter Flor 《Probability Theory and Related Fields》1969,12(1):73-74
Summary In the paper quoted in the title it was proved that a function on a discrete group is almost automorphic if and only if it is bounded and continuous in the Bohr topology. Here this result is extended to continuous functions on arbitrary topological groups. Taken together with a theorem of Marenko, this implies a theorem first stated, but not proved, by Veech: a function of a real variable is continuous and almost automorphic if and only if it is bounded and Levitan almost periodic. 相似文献