On σ-local classes of finite groups
https://doi.org/10.29235/1561-2430-2025-61-4-271-287
Abstract
For various partitions of the set P of all prime numbers, properties of generalized local classes (formations, Fitting classes) of finite groups are investigated. Criteria for σ-locality of an α-local class of groups are proved, where σ and α are some distinct partitions of P. Properties of products of generalized local classes, as well as their algebras, are studied. For a σ-soluble σ-local class, sufficient conditions for the commutativity of the σ-algebra generated by it are obtained.
About the Authors
V. G. Safonov
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
Vasily G. Safonov – Dr. Sc. (Physics and Mathematics), Professor
11, Surganov Str., 220072, Minsk
I. N. Safonova
Belarusian State University
Belarus
Belarus
Inna N. Safonova – Ph. D. (Physics and Mathematics), Associate Professor
4, Nezavisimosti Ave., 220030, Minsk
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