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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
2.Gorenstein, D., Finite groups (Harper and Row, 1968).Google Scholar
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