On medium-size subgroups and bases of finite groups

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On medium-size subgroups and bases of finite groups

In this paper G denotes a finite group. A subset A of G is called a basis of G if A2 = G, where A2 = (ab 1 a, b E A }. The minimal cardinality of a basis of G will be denoted by v(G). The problem of estimating r(G) for cyclic groups was first proposed by I. Schur and various bounds were obtained by Rohrbach [Rl], Moser [M], Stohr [S], Klotz [K], and others. In [R2], Rohrbach dealt with bases fo...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 1991

ISSN: 0097-3165

DOI: 10.1016/0097-3165(91)90002-x