Recent Submissions
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 are nilpotent. In this paper, we prove that if each Schmidt subgroup of a finite group G is Hall normally embedded in G, then the derived subgroup of G is nilpotent.
A subgroup H of a group G is called P-subnormal in G whenever either H = G or there is a chain of subgroups H = H0 ⊂ H1 ⊂ . . . ⊂ Hn = G such that |Hi : Hi−1| is a prime for all i. In this paper, we study the groups in which all primary cyclic subgroups are P-subnormal.
A subgroup H of a group G is called P-subnormal in G if either H = G or there is a chain of subgroups H = H0 ⊂ H1 ⊂ . . . ⊂ Hn = G such that |Hi : Hi−1| is prime for 1 ≤ i ≤ n. In this paper we study the groups all of whose 2-maximal subgroups are P-subnormal.
Communities in DSpace
Choose a community to browse its collections.
Discover
- 7714 2000 - 2021
- 7372 1900 - 1999
- 40 1800 - 1899
- 1 1500 - 1599
- 1 1194 - 1199
- 16082 true