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...

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...

Iwasawa may refer to: Kenkichi Iwasawa (岩澤 健吉, 1917–1998), Japanese mathematician Iwasawa decomposition, a mathematical group decomposition Iwasawa group...

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...

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...

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...

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...

monomial Iwasawa group or modular group, in the study of subgroup lattices, a group whose subgroup lattice is modular virtually polycyclic group, in infinite...

Iwasawa–Tate theory was extended to the general linear group GL(n) over an algebraic number field and automorphic representations of its adelic group...

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...

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...

geometry, an Iwasawa manifold is a compact quotient of a 3-dimensional complex Heisenberg group by a cocompact, discrete subgroup. An Iwasawa manifold is...

1021/ja00228a051. John N. Haseltine, Maria Paz Cabal, Nathan B. Mantlo, Nobuharu Iwasawa, Dennis S. Yamashita, Robert S. Coleman, Samuel J. Danishefsky, Gayle K...

group J4 in 1975; its existence was confirmed in 1980 by Simon P. Norton and others using computer calculations. Iwasawa group Lyons group Thin group...

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...

strings of the digits 1 and 2 Orthomodular lattice Supersolvable lattice Iwasawa group "Why are modular lattices important?". Mathematics Stack Exchange. Retrieved...

(the Iwasawa decomposition), and this provides a canonical bicrossproduct quantum group associated to g. For su(2) one obtains a quantum group deformation...

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...

(d'après Iwasawa), Séminaire Bourbaki, Secrétariat mathématique, Paris, MR 0157859 Ono, Takashi (1957), "Sur une propriété arithmétique des groupes algébriques...

notion of Selmer group to more general p-adic Galois representations and to p-adic variations of motives in the context of Iwasawa theory. More generally...

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...

Iwasawa groups or modular groups (Iwasawa 1941). Lattice-theoretic characterizations of this type also exist for solvable groups and perfect groups (Suzuki...

April 27, 2010. Retrieved September 27, 2020. de Shalit, Ehud (1987), Iwasawa theory of elliptic curves with complex multiplication. p-adic L functions...

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...

Griess M. Hall, Jr. P. Hall G. Higman D. Hilbert O. Hölder B. Huppert K. Iwasawa Z. Janko C. Jordan F. Klein A. Kurosh J.L. Lagrange C. Leedham-Green F...

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...

Iwasawa exhibited Tp(K) as a module over the completion Zp[[T]] and this implies a formula for the exponent of p in the order of the class groups Cm...

group for more details. The Cartan decomposition writes a semisimple real Lie algebra as the sum of eigenspaces of a Cartan involution. The Iwasawa decomposition...

by Kenkichi Iwasawa (see also the below Gerhard Hochschild paper for a proof). While for the Lie algebras associated to classical groups there is nothing...

Group theory Hodge theory Homology theory Homotopy theory Ideal theory Index theory Information theory Intersection theory Invariant theory Iwasawa theory...