(∈,∈∨q)-fuzzy normal, quasinormal and maximal subgroups

✍ Scribed by Sandeep Kumar Bhakat

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 160 KB
• Volume: 112
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(98)00029-3

✦ Synopsis

The notions of (∈; ∈)-and (∈; ∈ ∨ q)-fuzzy normality and quasinormality for a (∈; ∈ ∨ q)-fuzzy subgroup are introduced. The notions of an (∈; ∈ ∨ q)-fuzzy core subgroup, (∈; ∈)-and an (∈; ∈ ∨ q)-fuzzy p-sylow subgroup are also introduced and some fundamental properties are dealt with. (∈; ∈ ∨ q)-fuzzy normality and (∈; ∈ ∨ q)-fuzzy quasinormality are found to be more generalised concepts than those introduced by others. A detailed study with a fuzzy maximal subgroup is incorporated with the limitation of this concept.