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HN group information


In mathematics, in the field of group theory, a HN group or hypernormalizing group is a group with the property that the hypernormalizer of any subnormal subgroup is the whole group.

For finite groups, this is equivalent to the condition that the normalizer of any subnormal subgroup be subnormal.

Some facts about HN groups:

  • Subgroups of solvable HN groups are solvable HN groups.
  • Metanilpotent A-groups are HN groups.

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HN group

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group theory, a HN group or hypernormalizing group is a group with the property that the hypernormalizer of any subnormal subgroup is the whole group...

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Rylene dye

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structure: replace HN group in PV29 with 3,5-(CH3)2C6H3). Pigment Red 179, which is close to alizarin crimson (chemical structure: replace HN group in PV29 with...

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Creatine

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(/ˈkriːətiːn/ or /ˈkriːətɪn/) is an organic compound with the nominal formula (H2N)(HN)CN(CH3)CH2CO2H. It exists in various tautomers in solutions (among which are...

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Defence and intervention frigate

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Naval Group to purchase three FDI HN frigates with an option for one more for the Hellenic Navy as part of a $5 billion defence package. The FDI HN export...

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List of group theory topics

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linear group Group of Lie type Group scheme HN group Janko group Lie group Simple Lie group Linear algebraic group List of finite simple groups Mathieu...

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Groupe Bull

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times as Bull General Electric, Honeywell Bull, CII Honeywell Bull, and Bull HN. Bull was founded in 1931, as H.W. Egli - Bull, to capitalize on the punched...

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Reolian

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between Veolia Transport RATP Asia (VTRA) and a company in Macau, the HN Group. It was declared to file with bankruptcy by the Macau judiciary on December...

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National Congress of Honduras

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por 76 diputados – Diario El Heraldo". Elheraldo.hn. Retrieved 31 July 2016. "Buscador". Elheraldo.hn. Archived from the original on 24 September 2015...

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Sinn Bodhi

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called The Disciples of the New Church, led by Father James Mitchell. The group engaged in a long running feud in 2003 against Raven and his "Gathering"...

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Czechoslovak Group

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budou plnit 15 let, říká největší český zbrojař Strnad". Hospodářské noviny (HN.cz) (in Czech). Retrieved 2024-01-11. "Even if the war ends tomorrow, it will...

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Diethanolamine

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often abbreviated as DEA or DEOA, is an organic compound with the formula HN(CH2CH2OH)2. Pure diethanolamine is a white solid at room temperature, but...

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Orthogonal group

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_{1}\cdots \varepsilon _{n}} ; that is, Hn−1 < {±1}n is the subgroup with an even number of minus signs. The Weyl group of SO(2n) is represented in SO(2n)...

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Sporadic group

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McL Held group He or F7+ or F7 Rudvalis group Ru Suzuki group Suz or F3− O'Nan group O'N (ON) Harada-Norton group HN or F5+ or F5 Lyons group Ly Thompson...

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Arginine

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is the amino acid with the formula (H2N)(HN)CN(H)(CH2)3CH(NH2)CO2H. The molecule features a guanidino group appended to a standard amino acid framework...

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Azo compound

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HN=NH, wherein both hydrogens are substituted by hydrocarbyl groups, e.g. PhN=NPh azobenzene or diphenyldiazene.", where Ph stands for phenyl group....

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Foreign internal defense

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insurgency in a foreign state. This foreign state is known as the Host Nation (HN) under the US (and generally accepted NATO) doctrine. The term counter-insurgency...

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Symplectic group

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not a symplectic group in the sense of the previous section—it does not preserve a non-degenerate skew-symmetric H-bilinear form on Hn: there is no such...

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Heisenberg group

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applies if we replace R by any commutative ring A. The corresponding group is denoted Hn(A ). Under the additional assumption that the prime 2 is invertible...

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Homogeneous space

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(orthochronous Lorentz group, point stabilizer orthogonal group, corresponding to hyperboloid model): Hn ≅ O+(1, n) / O(n) Oriented hyperbolic space: SO+(1,...

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Honduras

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"Honduras, el país con mayor desigualdad de América Latina". www.laprensa.hn (in Spanish). "Honduras". World Bank. Archived from the original on 10 February...

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Group cohomology

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morphism of G-modules M → N, one gets a morphism of cohomology groups in the Hn(G, M) → Hn(G, N). Similarly to other cohomology theories in topology and...

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