solvable group
group that can be constructed from abelian groups using extensions; a group whose derived series terminates in the trivial subgroup
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solvable group
Summary
solvable group ranks in the top 2% of general entities by monthly Wikipedia readership (158 views/month).[1]
Key Facts
- solvable group's subclass of is recorded as thin group[2].
- solvable group's subclass of is recorded as prosolvable group[3].
- solvable group's subclass of is recorded as amenable group[4].
- solvable group's Freebase ID is recorded as /m/0q9xw[5].
- solvable group's topic's main category is recorded as Category:Solvable groups[6].
- solvable group's Gran Enciclopèdia Catalana ID is recorded as 0207718[7].
- solvable group's defining formula is recorded as \exists n\in\mathbb N \colon G^{(n)} = 1 \qquad(G^{(0)} = G,\;G^{(n+1)}=[G^{(n)},G^{(n)}])[8].
- solvable group's studied by is recorded as group theory[9].
- solvable group's MathWorld ID is recorded as SolvableGroup[10].
- solvable group's Open Library subject ID is recorded as solvable_groups[11].
- solvable group's nLab ID is recorded as solvable group[12].
- solvable group's maintained by WikiProject is recorded as WikiProject Mathematics[13].
- solvable group's Microsoft Academic ID is recorded as 186746360[14].
- solvable group's ProofWiki ID is recorded as Definition:Solvable_Group[15].
- solvable group's Encyclopedia of Mathematics article ID is recorded as Solvable_group[16].
- solvable group's Group Properties article ID is recorded as Solvable_group[17].
- solvable group's Treccani's Enciclopedia della Matematica ID is recorded as gruppo-risolubile[18].
- solvable group's OpenAlex ID is recorded as C186746360[19].
- solvable group's Gran Enciclopèdia Catalana ID is recorded as grup-resoluble[20].
- solvable group's LMFDB knowl ID is recorded as group.solvable[21].
- solvable group's GitLab topic ID is recorded as solvable+groups[22].
Why It Matters
solvable group ranks in the top 2% of general entities by monthly Wikipedia readership (158 views/month).[1] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[23] It is known by 6 alternative names across languages and contexts.[24]