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ZT-subgroups of sharply 3-transitive groups

Published online by Cambridge University Press:  20 January 2009

Heinrich Wefelscheid
Heinrich Wefelscheid
Affiliation:
Fachbereich Mathematikder Universität DuisburgLotharstr. 654100 Duisburg 1
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A permutation group G operating on a set M is called a ZT-group (Zassenhaus transitive group) if G has the properties (i) and (ii):

(i) G operates 2-transitively on M;

(ii) Ga,b≠{id} and Ga,b,c = {id} for distinct elements a,b,c ∈ M.

Here Ga,b = {α ∈ G | α(a) = a and α(b) = b} denotes the stabilizer of {a, b}, and Ga,b,c the stabilizer of {a, b, c}, respectively.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 23 , Issue 1 , February 1980 , pp. 9 - 14
Copyright
Copyright © Edinburgh Mathematical Society 1980

References

REFERENCES

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