@incollection{AST_1999__258__281_0, author = {Hamidoune, Yahya Ould}, title = {On small subset product in a group}, booktitle = {Structure theory of set addition}, editor = {Deshouilliers Jean-Marc and Landreau Bernard and Yudin Alexander A.}, series = {Ast\'erisque}, pages = {281--308}, publisher = {Soci\'et\'e math\'ematique de France}, number = {258}, year = {1999}, mrnumber = {1701204}, zbl = {0945.20011}, language = {en}, url = {http://www.numdam.org/item/AST_1999__258__281_0/} }
TY - CHAP AU - Hamidoune, Yahya Ould TI - On small subset product in a group BT - Structure theory of set addition AU - Collectif ED - Deshouilliers Jean-Marc ED - Landreau Bernard ED - Yudin Alexander A. T3 - Astérisque PY - 1999 SP - 281 EP - 308 IS - 258 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1999__258__281_0/ LA - en ID - AST_1999__258__281_0 ER -
%0 Book Section %A Hamidoune, Yahya Ould %T On small subset product in a group %B Structure theory of set addition %A Collectif %E Deshouilliers Jean-Marc %E Landreau Bernard %E Yudin Alexander A. %S Astérisque %D 1999 %P 281-308 %N 258 %I Société mathématique de France %U http://www.numdam.org/item/AST_1999__258__281_0/ %G en %F AST_1999__258__281_0
Hamidoune, Yahya Ould. On small subset product in a group, in Structure theory of set addition, Astérisque, no. 258 (1999), pp. 281-308. http://www.numdam.org/item/AST_1999__258__281_0/
[1] On a product of finite subsets in a torsion free group, J. Algebra, 130, 1990, 462-476. | DOI | MR | Zbl
and ,[2] Recherches sur les nombres, J. Ecole Polytechnique, 9, 1813, 99-116.
,[3] Un théorème d'addition dans , J. Number Theory, 34, 128-131. | DOI | MR | Zbl
and ,[4] Some applications of the Cauchy-Davenport theorem, Norske Vid. Selsk. Forh. (Trondheim), 32, 1959, 74-80. | MR | Zbl
, and ,[5] On the addition of residue classes, J. London Math. Soc., 10, 1935, 30-32. | DOI | JFM
,[6] Notes on congruences (III), Quart. Math. Oxford, (2) 17, 1966, 339-344. | DOI | MR | Zbl
and ,[7] On Kneser's addition theorem in groups, Proc. Amer. Math. Soc., 1973, 443-451. | MR | Zbl
,[8] Sequences, Springer-Verlag, 1982. | MR | Zbl
, and ,[9] Sur les atomes d'un graphe orienté, C.R. Acad. Sc. Paris A, 284, 1977, 1253-1256. | MR | Zbl
,[10] Quelques problèmes de connexité dans les graphes orientés, J. Comb. Theory B, 30, 1981, 1-10. | DOI | MR | Zbl
,[11] An application of connectivity Theory in graphs to factorizations of elements in groups, Europ. J. Combinatorics, 2, 1981, 349-355. | DOI | MR | Zbl
,[12] On the connectivity of Cayley digraphs, Europ. J. Combinatorics, 5, 1984, 309-312. | DOI | MR | Zbl
,[13] On a subgroup contained in words with a bounded length, Discrete Math., 103, 1992, 171-176. | DOI | MR | Zbl
,[14] On subsets with a small sum in abelian groups, Europ. J. of Combinatorics, 18, 1997, 541-566. | DOI | MR | Zbl
,[15] On bases for -finite groups, Math. Scand., 1994, 246-254. | EuDML | MR | Zbl
and ,[16] Vosperian and superconnected abelian Cayley digraphs, Graphs and Combinatorics, 7, 1991, 143-152. | DOI | MR | Zbl
, and ,[17] Additions theorems for -finite groups, In Proc. Rademacher Centenary conference, contemporary mathematics, Amer math. Soc. 1194. | MR | Zbl
and ,[18] Über den Zusammenhang von Graphen, mit Anwendungen auf symmetricher Graphen, Math. Ann., 202, 1973, 307-320. | DOI | EuDML | MR | Zbl
,[19] On complexes in a semigroup, Indag. Math., 18, 1956, 247-254. | DOI | MR | Zbl
,[20] On small sumsets in abelian groups, Acta Math., 103, 1960, 66-88. | MR | Zbl
,[21] Anwendung eines satzes von Mann auf die Geometrie von Zahlen, Proc. Int. Cong. Math. Amsterdam, 2, 1954, 32.
,[22] Eine Satz über abelesche gruppen mit Anwendungen auf die Geometrie der Zahlen, Math. Z., 1955, 429-434. | EuDML | MR | Zbl
,[23] Eine Eigenschaft der Atome endlicher Graphen, Arch. Math., 22, 1971, 333-336. | DOI | MR | Zbl
,[24] An addition theorem for sets of elements of an abelian group, Proc. Amer. Math Soc, 4, 1953, 423. | MR | Zbl
,[25] Addition theorems : The addition theorems of group theory and number theory, Interscience, New York, 1965. | MR | Zbl
,[26] Additive number theory : Inverse problems and the Geometry of sum-sets, Springer-Verlag, 1994, to appear. | MR | Zbl
,[27] On the sum of of two sets in a group, J. Number Theory, 18, 1984, 110-120. | DOI | MR | Zbl
,[28] On the symmetric difference of two sets in a group, Europ. J. Combinatorics, 1986, 43-54. | DOI | MR | Zbl
,[29] Two remarks on linear forms in non-negative integers, Math. Scand., 51, 1982, 193-198. | DOI | EuDML | MR | Zbl
,[30] On diagonal forms over finite fields, Ann. Univ. Turku Ser. A, 1968, 1-10. | MR | Zbl
,[31] The critical pairs of subsets of a group of prime order, J. London Math. Soc., 31, 1956, 200-205. | DOI | MR | Zbl
,[32] Addendum to "The critical pairs of subsets of a group of prime order", J. London Math. Soc., 31, 1956, 280-282. | DOI | MR | Zbl
,[33] A generalisation to noncommutative groups of a theorem of Mann, Discrete Math., 126, 1994, 365-372. | DOI | MR | Zbl
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