quaternion group
finite group with 8 elements, whose elements can be represented by multiplication of unit quaternions {±1, ±i, ±j, ±k}
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quaternion group
Summary
quaternion group is a Group of 8[1]. It draws 148 Wikipedia views per month (group_of_8 category, ranking #1 of 1).[2]
Key Facts
- quaternion group's instance of is recorded as Group of 8[3].
- quaternion group's instance of is recorded as finite group[4].
- quaternion group's instance of is recorded as Hamiltonian group[5].
- quaternion group's instance of is recorded as dicyclic group[6].
- quaternion group's instance of is recorded as nilpotent group[7].
- quaternion group's instance of is recorded as non-abelian group[8].
- quaternion group's part of is recorded as algebra of real quaternions[9].
- quaternion group's Commons category is recorded as Quaternion group[10].
- quaternion group's Freebase ID is recorded as /m/013zwz[11].
- quaternion group's group cardinality is recorded as {'amount': '+8'}[12].
- quaternion group's defining formula is recorded as \mathrm{Q}_8 = \langle \bar{e},i,j,k \mid \bar{e}^2 = e, \;i^2 = j^2 = k^2 = ijk = \bar{e} \rangle[13].
- quaternion group's studied by is recorded as category theory[14].
- quaternion group's MathWorld ID is recorded as QuaternionGroup[15].
- quaternion group's nLab ID is recorded as quaternion group[16].
- quaternion group's maintained by WikiProject is recorded as WikiProject Mathematics[17].
- quaternion group's Microsoft Academic ID is recorded as 48756202[18].
- quaternion group's ProofWiki ID is recorded as Definition:Dicyclic_Group/Quaternion_Group[19].
- quaternion group's Encyclopedia of Mathematics article ID is recorded as Quaternion_group[20].
- quaternion group's Group Properties article ID is recorded as Quaternion_group[21].
- quaternion group's SmallGroup ID is recorded as 8,4[22].
- quaternion group's OpenAlex ID is recorded as C48756202[23].
Why It Matters
quaternion group draws 148 Wikipedia views per month (group_of_8 category, ranking #1 of 1).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[24]