Kniahina, V.N.; Monakhov, V.S.(Algebra and Discrete Mathematics, 2020)
A Schmidt group is a non-nilpotent group in which every proper subgroup is nilpotent. A subgroup A of a group G is semi-normal in G if there exists a subgroup B of G such that G = AB and AB1 is a proper subgroup of G for ...
Monakhov, V.S.; Gritsuk, D.V.(Algebra and Discrete Mathematics, 2013)
It is proved that if π-Hall subgroup is a supersolvable group then the derived π-length of a π-solvable group G is at most 1 + maxr∈π lαr(G), where lαr(G) is the derived r-length of a π-solvable group G.
Kniahina, V.N.; Monakhov, V.S.(Algebra and Discrete Mathematics, 2018)
A subgroup H of a finite group G is said to be Hall normally embedded in G if there is a normal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a non-nilpotent finite group whose all proper subgroups ...