×
Khukhro, E. I.

On the associated Lie ring of a free 2-generator group of prime exponent and the Hughes conjecture for 2-generator \(p\)-groups. (English) Zbl 0519.20033

Math. USSR, Sb. 46, 571-579 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0519.20033

Cited in 3 Documents

MSC:

20F50 Periodic groups; locally finite groups
20F45 Engel conditions
20F05 Generators, relations, and presentations of groups
20F40 Associated Lie structures for groups
20D15 Finite nilpotent groups, \(p\)-groups

Keywords:

Lie ring of \(B(n,p)\); free \(n\)-generator groups of exponent \(p\); ideal of relations; Engel ideal; 2-generator groups; Hughes conjecture

Citations:

Zbl 0046.032; Zbl 0080.246; Zbl 0286.20050; Zbl 0277.20025; Zbl 0473.20016; Zbl 0186.324; Zbl 0211.044; Zbl 0484.20017
Cite Review PDF
Full Text: DOI