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A Non-Linear Locally Finite Simple Group with a p-Group as Centralizer
Non-Linear Locally Finite Simple Group p-Group
2010/2/26
We show that there exists a non-linear, locally finite, simple group such that the centralizer of every non-trivial element is (locally solvable)-by-finite.
A Moufang loop is a binary system that satisfies a particular weak form of the associative law. Doro and Glauberman observed that there is a direct connection between simple Moufang loops and simple g...
The topic of the present paper is the following question. Let G be a locally finite group admitting an automorphism f of finite order such that the centralizer CG(f) satisfies certain finiteness condi...
Locally Finite Barely Transitive Permutation Group with Almost Nilpotent Point Stabilizers
Transitive Permutation Group Nilpotent Point Stabilizers
2010/3/5
We show that the groups mentioned in the title are solvable. Moreover, a point stabilizer H of the locally finite barely transitive group G is almost nilpotent, whenever the indices |H : H \cap Hg| (g...