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Finite co-Dedekindian groups

Published online by Cambridge University Press:  18 May 2009

Marian Deaconescu  and
Gheorghe Silberberg
Marian Deaconescu
Affiliation:
Department of Mathematics, University of Timişoara, Bd. V. Pârvan Nr.4, 1900 Timişoara, Romania.
Gheorghe Silberberg
Affiliation:
Department of MathematicsUniversity of Kuwait, P.O. Box 5969, SAFAT 13060, Kuwait.
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A group G is called Dedekindian if every subgroup ofG is normal in G.

The structure of the finite Dedekindian groups is well-known [3, Satz 7.12]. They are either abelian or direct products of the form Q × A × B, where Q is the quaternion group of order 8, Ais abelian of odd order and exp(B) ≤ 2.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 38 , Issue 2 , May 1996 , pp. 163 - 169
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

1.Curran, M. J. and McCaughan, D. J., Central automorphisms of finite groups, Bull. Austral. Math. Soc. 34 (1986),191–198.Google Scholar
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3.Huppert, B., Endliche Gruppen I (Springer Verlag, 1967).CrossRefGoogle Scholar
4.Scorza, G., I gruppi che possono pensarsi come somma di tre loro sottigruppi, Boll. Un. Mat. Ital.. 5 (1926), 216–218.Google Scholar