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  • noun

Words related to subgroup

a distinct and often subordinate group within a group

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(mathematics) a subset (that is not empty) of a mathematical group

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We have < x > Q is a proper subgroup of G and so < x > Q =< x > x Q, i.
So, this group is not a direct product of proper subgroups.
3]Suppose that G is a group which is not p-nilpotent but whose proper subgroups are all p-nilpotent for some prime p.
Among results that have no analog in any existing books are groups admitting an irredundant covering by a few proper subgroups, characterizing abelian and minimal nonabelian groups, and groups containing a soft subgroup.
2] are additive proper subgroups of J whose union is J.
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