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There is a page named "Iwasawa group" on Wikipedia

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  • a group is called an Iwasawa group, M-group or modular group if its lattice of subgroups is modular. Alternatively, a group G is called an Iwasawa group...
    4 KB (432 words) - 23:35, 12 August 2023
  • Kenkichi Iwasawa (岩澤 健吉 Iwasawa Kenkichi, September 11, 1917 – October 26, 1998) was a Japanese mathematician who is known for his influence on algebraic...
    6 KB (505 words) - 00:30, 7 April 2024
  • In mathematics, the Iwasawa decomposition (aka KAN from its expression) of a semisimple Lie group generalises the way a square real matrix can be written...
    5 KB (989 words) - 21:31, 16 October 2022
  • Iwasawa may refer to: Kenkichi Iwasawa (岩澤 健吉, 1917–1998), Japanese mathematician Iwasawa decomposition, a mathematical group decomposition Iwasawa group...
    468 bytes (81 words) - 18:18, 18 March 2023
  • fields. It began as a Galois module theory of ideal class groups, initiated by Kenkichi Iwasawa (1959) (岩澤 健吉), as part of the theory of cyclotomic fields...
    10 KB (1,312 words) - 21:24, 17 January 2024
  • conjecture of Iwasawa theory is a deep relationship between p-adic L-functions and ideal class groups of cyclotomic fields, proved by Kenkichi Iwasawa for primes...
    10 KB (1,108 words) - 18:55, 20 May 2024
  • Iwasawa-Tate theory
    )
    Iwasawa–Tate theory was extended to the general linear group GL(n) over an algebraic number field and automorphic representations of its adelic group...
    5 KB (565 words) - 19:45, 23 May 2024
  • In mathematics, the Iwasawa algebra Λ(G) of a profinite group G is a variation of the group ring of G with p-adic coefficients that take the topology...
    9 KB (1,182 words) - 08:57, 7 November 2023
  • modular sublattice. A group in which every subgroup permutes is called an Iwasawa group. The subgroup lattice of an Iwasawa group is thus a modular lattice...
    10 KB (1,276 words) - 15:53, 13 July 2022
  • monomial Iwasawa group or modular group, in the study of subgroup lattices, a group whose subgroup lattice is modular virtually polycyclic group, in infinite...
    461 bytes (100 words) - 10:51, 24 December 2012
  • Thumbnail for Semidirect product
    Semidirect product (category Group products)
    are non-abelian groups: the dihedral group of order 16 the quasidihedral group of order 16 the Iwasawa group of order 16 If a given group is a semidirect...
    30 KB (4,534 words) - 05:57, 9 April 2024
  • geometry, an Iwasawa manifold is a compact quotient of a 3-dimensional complex Heisenberg group by a cocompact, discrete subgroup. An Iwasawa manifold is...
    1 KB (130 words) - 02:38, 22 November 2022
  • Mathematics. 18 (2): 148–181. doi:10.1016/0001-8708(75)90156-5. Zbl 0312.12022.Iwasawa, Kenkichi (1986). Local class field theory. Oxford Mathematical Monographs...
    25 KB (3,592 words) - 02:39, 27 June 2024
  • PT-group
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    modular property of groups. If all subgroups are quasinormal, then the group is called an Iwasawa group—sometimes also called a modular group, although this...
    4 KB (504 words) - 18:52, 7 March 2023
  • projective special linear group PSL2(R), which is obtained by taking the quotient by the center. By Iwasawa decomposition, both groups are circle bundles over...
    12 KB (1,726 words) - 21:24, 30 April 2024
  • Thumbnail for Protecting group
    1021/ja00228a051. John N. Haseltine, Maria Paz Cabal, Nathan B. Mantlo, Nobuharu Iwasawa, Dennis S. Yamashita, Robert S. Coleman, Samuel J. Danishefsky, Gayle K...
    57 KB (6,755 words) - 23:19, 9 April 2024
  • (d'après Iwasawa), Séminaire Bourbaki, Secrétariat mathématique, Paris, MR 0157859 Ono, Takashi (1957), "Sur une propriété arithmétique des groupes algébriques...
    7 KB (935 words) - 20:05, 12 January 2024
  • York: Springer-Verlag, ISBN 978-0-387-98981-5 Greenberg, Ralph (1994), "Iwasawa Theory and p-adic Deformation of Motives", in Serre, Jean-Pierre; Jannsen...
    11 KB (1,381 words) - 07:00, 27 April 2024
  • Thumbnail for Lattice of subgroups
    Lattice of subgroups (category Group theory)
    Iwasawa groups or modular groups (Iwasawa 1941). Lattice-theoretic characterizations of this type also exist for solvable groups and perfect groups (Suzuki...
    10 KB (1,056 words) - 22:09, 24 December 2023
  • Thumbnail for Quantum group
    (the Iwasawa decomposition), and this provides a canonical bicrossproduct quantum group associated to g. For su(2) one obtains a quantum group deformation...
    30 KB (4,983 words) - 22:18, 1 May 2024
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