Maximal covers of finite groups. Issue 2 (1st February 2020)

• Record Type: Journal Article
• Authors: Bastos, Raimundo; Lima, Igor; Rogério, José R.
• Is Part Of: Communications in algebra. Volume 48:Issue 2(2020)
• Page Start: 691
• Page End: 701
• Publication Date: 2020-02-01
• Subjects: Covering groups -- solvable groups; 20D10 -- 20D50; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2019.1654498
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: Let λ ( G ) be the maximum number of subgroups in an irredundant covering of the finite group G . We prove that if G is a group with λ ( G ) ≤ 6, then G is supersolvable. We also describe the structure of groups G with λ ( G ) = 6. Moreover, we show that if G is a group with λ ( G ) < 31, then G is solvable.