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Publication Date:
July 2010
ISSN:
1435-4446
DOI:
10.1515/jgt.2010.035

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Journal of Group Theory

Editor-in-Chief: Wilson, John S.

Managing Editor: Howie, James / Kramer, Linus / Parker, Christopher W.

Editorial Board Member: Abért, Miklós / Borovik, Alexandre V. / Boston, Nigel / Bridson, Martin R. / Caprace, Pierre-Emmanuel / Giovanni, Francesco / Guralnick, Robert / Jaikin Zapirain, Andrei / Kessar, Radha / Khukhro, Evgenii I. / Kochloukova, Dessislava H. / Malle, Gunter / Olshanskii, Alexander / Remy, Bertrand / Robinson, Derek J.S. / Willis, George

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Covering certain wreath products with proper subgroups

1 / 2

1Dipartimento di Matematica Pura ed Applicata, Via Trieste, 63, 35121 Padova, Italy

2Alfréd Rényi Institute of Mathematics, Budapest, Hungary

Citation Information: Journal of Group Theory. Volume 14, Issue 1, Pages 103–125, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/jgt.2010.035, July 2010

Publication History:
Received:
2009-09-04
Published Online:
2010-07-21

Abstract

For a non-cyclic finite group X let σ(X) be the least number of proper subgroups of X whose union is X. Precise formulas or estimates are given for σ(S ≀ Cm) for certain non-abelian finite simple groups S where Cm is a cyclic group of order m.

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