Criterions of supersolubility of some finite factorizable groups

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Author: Legchekova, H.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157197
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Criterions of supersolubility of some finite factorizable groups / H.V. Legchekova // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 46–55. — Бібліогр.: 16 назв. — англ.

Let A, B be subgroups of a group G and ∅ 6= X ⊆ G. A subgroup A is said to be X-permutable with B if for some x ∈ X we have ABx = BxA [1]. We obtain some new criterions for supersolubility of a finite group G = AB, where A and B are supersoluble groups. In particular, we prove that a finite grou...