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The Symmetric Group of Degree Six can be Covered by 13 and no Fewer Proper Subgroups

Abdollahi, A., and Ashraf, F., and Shaker, S.M. , (2007) The Symmetric Group of Degree Six can be Covered by 13 and no Fewer Proper Subgroups. Bulletin of the Malaysian Mathematical Sciences Society, 30 (1). pp. 57-58. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v30n1/v30n1p7.pdf

Affiliations

University of Isfahan, Dept. of Mathematics

Abstract

In this note, we prove that the symmetric group of degree six can be covered by 13 and no fewer proper subgroups. This partially answers a question of M. J. Tomkinson [Groups as the union of proper subgroups, Math. Scand. 81(1997), 189-198] and gives a negative answer to a part of a conjecture of L. Serena [On finite covers of groups by subgroups, Advances in group theory 2002, 173-190, Aracne, Rome, 2003].

Item Type:Journal
Keywords:Covering groups by subgroups, union of subgroups, symmetric groups.
Subjects:Q Science, Computer Science
ID Code:1366

[1] R. A. Bryce, V. Fedri and L. Serena, Subgroup covering of some linear groups, Bull. Austral. Math. Soc. 60(1999), 227-238.

[2] J. H. E. Cohn, On n-sum groups, Math. Scand. 75(1994), 44—58.

[3] The GAP Group, GAP Groups, Algorithms, and Programming, Version 4.3; 2002, (http://www.gap—system.org).

[4] L. Serena, On finite covers of groups by subgroups, Advances in group theory 2002, 173-190, Aracne, Rome, 2003.

[5] M. J. Tomkinson, Groups as the union of proper subgroops, Math. Scand. 81(1997). 189-198.

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