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weakly normal subgroup

subgroup H of a group G such that, for every g∈G, if Hᵍ ≤ N_G(H), then g ∈ N_G(H)

en-GB/wiːkliː ˈnɔːml ˈsʌbɡɹuːp/
en-US/ˈwikli ˈnɔɹməl ˈsʌbˌɡɹup/

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subgroup