Given a group G, we refer to the maximum number of non-locally-solvable factors in any finite subnormal series of any subgroup of G as the b-dimension of G. We describe the structure of locally finite groups of finite b-dimension. This generalizes some known results on periodic linear groups and locally finite groups of finite c-dimension.
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Translated from Algebra i Logika, Vol. 64, No. 2, March-April, 2025.
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Buturlakin, A.A. On Locally Finite Groups with Bounded Number of Non-Locally-Solvable Factors. Algebra Logic 64, 84–91 (2025). https://doi.org/10.1007/s10469-026-09814-8
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DOI: https://doi.org/10.1007/s10469-026-09814-8