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FACTORIZATION NUMBERS OF SOME FINITE GROUPS

Published online by Cambridge University Press:  12 December 2011

F. SAEEDI  and
M. FARROKHI D. G.
F. SAEEDI
Affiliation:
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran. e-mail: saeedi@mshdiau.ac.ir
M. FARROKHI D. G.
Affiliation:
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran. e-mail: m.farrokhi.d.g@gmail.com
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Abstract

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For a finite group G, let F2(G) be the number of factorizations G = AB of the group G, where A and B are subgroups of G. We compute F2(G) for certain classes of groups, including cyclic groups ℤn, elementary abelian p-groups ℤpn, dihedral groups D2n, generalised quaternion groups Q4n, quasi-dihedral 2-groups QD2n(n≥4), modular p-groups Mpn, projective general linear groups PGL(2, pn) and projective special linear groups PSL(2, pn).

Keywords

Primary 20D40secondary 20P05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 2 , May 2012 , pp. 345 - 354
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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