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On sharply 2-transitive groups with point stabilizer of exponent \(2^n\cdot 3\). (English) Zbl 1412.20001

Author’s abstract: We describe sharply 2-transitive groups whose point stabilizer is a nilpotent \(\{2,3\}\)-group without elements of order 9 and, more generally, in which the third power of each element belongs to the FC-center. In particular, we will prove that these groups are finite.

MSC:

20B22 Multiply transitive infinite groups
20F24 FC-groups and their generalizations
20F28 Automorphism groups of groups
16Y30 Near-rings
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References:

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