Subgroup
Subgroup In group theory, given a group G ... some subset H of G is a subgroup of G if H also forms a ... the operation *. More precisely, H is a subgroup of G if the restriction of * to ... a group operation on H. A proper subgroup of a group G is a subgroup H which is a proper subset ...
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Subgroup (Transformers wiki)
Subgroup Subgroup is fan terminology for nearly any category ...
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Subgroup   (translated from Spanish)
Subgroup Be X e And two conjuntos so ... then we say that: X it is subgroup of And ; X ⊆ And ; And it ... superset of X ; And ⊇ X . All subgroup And it is a subgroup of itself. Any subgroup of And that it is not ...
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Subgroup   (translated from Italian)
Subgroup One sottoinsieme K of one gruppo G it is one subgroup if it is closed regarding the product ... product from the product in G. A subgroup is said just if H it is sottoinsieme just of G. The subgroup banal it is the subgroup {and}, that is consisting only inelement ...
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Normal subgroup
Normal subgroup In mathematics, a normal subgroup N of a group G is a subgroup invariant under conjugation; that is, for each ... N. The statement N is a normal subgroup of G is written: $N\backslash triangleleft\; ...\; which\; are\; equivalent\; to\; requiring\; that\; a$subgroup N be normal in G. Any ...
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Commutator subgroup
Commutator subgroup In mathematics, the commutator subgroup (or derived subgroup) of a group G is the subgroup $[G,G]$ (also denoted subgroup can also be defined as the ...
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Characteristic subgroup
Characteristic subgroup In mathematics, a characteristic subgroup of a group G is a subgroup H that is invariant under each automorphism ... the fact that H is a characteristic subgroup of G by $H\backslash ,\backslash mathrm\{char\; ...\; consider\; the\; Klein\; group\; V\; 4\; .\; Every$subgroup of this group is normal; but ...
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Torsion subgroup
Torsion subgroup In group theory, the torsion subgroup of an abelian group A is the subgroup of A consisting of all elements that ... A has finite order. Proof of the subgroup property The set T of all elements ... in an abelian group indeed forms a subgroup: write the group A additively, and ...
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Seminormal subgroup
Seminormal subgroup In mathematics, in the field of group theory, a subgroup $A$ of a group subgroup $C$ of $B$, $AC$ is a proper subgroup of $G$. This definition ...
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Modular subgroup
Modular subgroup In mathematics, in the field of group theory, a modular subgroup is a subgroup that is a modular element in the ... the join operation is defined by the subgroup generated. By the Modular Property of Groups, every quasinormal subgroup (that is, a subgroup that permutes ...
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