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bn:00749283n
Noun Concept
Categories: Finite groups, Group theory, Quaternions
EN
quaternion group  Generalised quaternion group  generalized quaternion group  Q8  Q8 group
EN
In group theory, the quaternion group Q8 is a non-abelian group of order eight, isomorphic to the eight-element subset { 1, i, j, k, − 1, − i, − j, − k } {\displaystyle \{1,i,j,k,-1,-i,-j,-k\}} of the quaternions under multiplication. Wikipedia
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EN
In group theory, the quaternion group Q8 is a non-abelian group of order eight, isomorphic to the eight-element subset { 1, i, j, k, − 1, − i, − j, − k } {\displaystyle \{1,i,j,k,-1,-i,-j,-k\}} of the quaternions under multiplication. Wikipedia
A non-abelian group of order 8 Wikipedia Disambiguation
Finite group with 8 elements, whose elements can be represented by multiplication of unit quaternions {±1, ±i, ±j, ±k} Wikidata
IS A
nilpotent group
Dedekind group
dicyclic group
finite group
non-abelian group
STUDIED BY
category theory
Wikipedia
EN
quaternion group
Wikidata
EN
quaternion group
Wikipedia Redirections
EN
Generalised quaternion group, generalized quaternion group, Q8 (group), Q8 group, Quarternionic group, quaternion group of order 8

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