On the galois number and the minimal degree of doubly transitive groups |
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| Authors: | Martin Epkenhans Oliver Gerstengarbe |
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| Institution: | FB Mathematik , Universit?t-Gesamthochschule , Paderborn, D-33095 E-mail: martine@uni-paderborn.de |
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| Abstract: | Consider the action of a finite group G on a set M. Then the Galois number is defined to be 1 + f, where fis the maximal number of fixed points of an element in G, which does not act as the identity on M. We determine the Galois number and the minimal degree of all doubly transitive permutation groups. |
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