A5085616288- Finite Group Theory Research
- graph theory and CDMA systems
Yantai University
2023-2024
Let $A$ and $G$ be finite groups such that acts coprimely on by automorphisms, we first prove some results the solvability of in which maximal $A$-invariant subgroups have indices a prime or square prime. Our generalize Hall's theorem other known results. Moreover, obtain complete characterization every non-nilpotent subgroup contains normalizer Sylow has index
Let [Formula: see text] be a finite group in which every non-nilpotent maximal subgroup has prime index and the largest divisor of text], without using solvability we prove that either Sylow text]-subgroup is normal or text]-complement.
We provide a new and simple proof to show that finite group in which every non-nilpotent maximal subgroup is normal solvable.