Sets of prime power order generators of finite groups

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2020
• 1. Verfasser: Stocka, A.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/188508
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Sets of prime power order generators of finite groups / A. Stocka // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 129–138. — Бібліогр.: 12 назв. — англ.

A subset X of prime power order elements of a finite group G is called pp-independent if there is no proper subset Y of X such that 〈Y,Ф(G)〉 = 〈X,Ф(G)〉, where Ф(G) is the Frattini subgroup of G. A group G has property Bpp if all pp-independent generating sets of G have the same size. G has the pp-ba...