FINITE GROUPS WITH GIVEN SYSTEM OF HALL SUBGROUPS
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Abstract
All considered groups are finite in the paper. The structures of finite groups are depending on presence of Hall subgroups. Investigation of Hall subgroups of finite groups gives us an opportunity to understand their structure. These questions attracted attention many algebraists, such as Ph. Hall, F. Gross, E.M. Palchik, V.P. Vdovin, D.O. Revin, V.N. Tyutyanov and others. These mathematicians got many profound and interesting results about the Hall subgroups of finite groups. Let finite group has Hall subgroups, which orders are divide into 2, 3 and t – is the any prime divisor of order of the finite group and t is not equal 2 and 3. The compositions factors of such finite group are found out in paper.
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