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PROSOLVABLE GROUP

• Prosolvable group

algebra, a prosolvable group (less common: prosoluble group) is a group that is isomorphic to the inverse limit of an inverse system of solvable groups. Equivalently

Prosolvable group

Prosolvable_group

• Solvable group

Group with subnormal series where all factors are abelian

composition series is a p-group or has order prime to p. A finite group is solvable iff it is p-solvable for every p. Prosolvable group Milne (2022). Field

Solvable group



Solvable_group

• P-adic number

Number system extending the rational numbers

_{p}{\bigr )}} is prosolvable. The unit group Z p × {\displaystyle \mathbb {Z} _{p}^{\times }} is contained in the multiplicative group Q p × = Q p − {

P-adic number



P-adic_number

• Moshe Jarden

Israeli mathematician

Jarden, Prosolvable subgroups of free products of profinite groups, Communications of Algebra 22 (1994), 1467-1494. M. Jarden, On free profinite groups of

Moshe Jarden



Moshe_Jarden

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PROSOLVABLE GROUP

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