Sets of prime power order generators of finite groups

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...

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Bibliographic Details
Date:2020
Main Author: Stocka, A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2020
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188508
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine