abelian group

Summary

abelian group is a mathematical concept^[1]. It ranks in the top 6% of mathematical_concept entities by monthly Wikipedia readership (464 views/month).^[2]

Key Facts

• abelian group's instance of is recorded as mathematical concept^[3].
• Niels Henrik Abel is named after abelian group^[4].
• abelian group's Library of Congress authority ID is recorded as sh85000128^[5].
• abelian group's Bibliothèque nationale de France ID is recorded as 11979859b^[6].
• abelian group's subclass of is recorded as nilpotent group^[7].
• abelian group's subclass of is recorded as commutative monoid^[8].
• abelian group's subclass of is recorded as commutative Moufang loop^[9].
• abelian group's subclass of is recorded as Dedekind group^[10].
• abelian group's subclass of is recorded as module^[11].
• abelian group's subclass of is recorded as CA-group^[12].
• abelian group's subclass of is recorded as FC-group^[13].
• abelian group's subclass of is recorded as elementary amenable group^[14].
• abelian group's NDL Authority ID is recorded as 00560040^[15].
• abelian group's Commons category is recorded as Abelian groups^[16].
• abelian group's opposite of is recorded as non-abelian group^[17].
• abelian group's BNCF Thesaurus ID is recorded as 5494^[18].
• abelian group's Freebase ID is recorded as /m/012lj^[19].
• abelian group's NL CR AUT ID is recorded as ph196706^[20].
• abelian group's Dewey Decimal Classification is recorded as 512.25^[21].
• abelian group's PSH ID is recorded as 7293^[22].
• abelian group's Encyclopædia Britannica Online ID is recorded as topic/Abelian-group^[23].
• abelian group's Stack Exchange tag is recorded as https://mathoverflow.net/tags/abelian-groups^[24].
• abelian group's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/abelian-groups^[25].
• abelian group's has characteristic is recorded as closure^[26].
• abelian group's has characteristic is recorded as associativity^[27].

Body

Works and Contributions

Things named for abelian group include abelian category^[28], a mathematical concept^[29]; metabelian group^[30]; and abelian extension^[31], a mathematical concept^[32].

Why It Matters

abelian group ranks in the top 6% of mathematical_concept entities by monthly Wikipedia readership (464 views/month).^[2] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.^[33] It is known by 43 alternative names across languages and contexts.^[34]

Entities named for it include abelian category^[28], a mathematical concept^[29]; metabelian group^[30]; and abelian extension^[31], a mathematical concept^[32].