Finite groups with some subgroups of Sylow subgroups c-supplemented
By Yanming Wang. 2000
115 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/5f6f47782531a6091689c24c392e0cebd1ee55f4
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In Discrete Mathematics and Combinatorics
Citations in the corpus
- On Some Results in the Theory of Finite Partially Soluble Groups (2016, background): “Note also that if H is either complemented in G or normal in G, then H satisfies the following (Ballester-Bolinches-Guo-Wang) condition: G has a subgroup M and a normal subgroup N such that HM = G and H ∩ M ≤ N ≤ H [7,80].”
- On c-supplemented maximal and minimal subgroups of Sylow subgroups of finite groups (2004, background): “Wang, BallesterBolinches and Guo in 2000 introduced the concept of c-supplementation of a finite group which is weaker than both c-normality and complementation [10], [11] and generalized the above two results as applications.”
- On weakly s-permutable subgroups of finite groups (2010, background): “For instance, Hall [5] in 1937 proved that a group G is solvable if and only if every Sylow subgroup of G is complemented in G. Srinivasan [11] in 1980 stated that a group G is supersolvable if every maximal subgroup of the Sylow subgroups is normal in G. In 2000, Wang [ 13 ] proved that G is supers”
- On the ℱϕ-Hypercentre of Finite Groups (2014, background): “Guo ([2, 15]) introduced the concept of a c-supplemented subgroup and proved that G is soluble if and only if every Sylow subgroup of G is c-supplemented in G.”