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Definition of Coset
1. Noun. (algebra) Of a subgroup, a copy of that subgroup multiplied by some element from the parent group. ¹
¹ Source: wiktionary.com
Definition of Coset
1. a mathematical subset [n -S]
Lexicographical Neighbors of Coset
Literary usage of Coset
Below you will find example usage of this term as found in modern and/or classical literature:
1. Topics in the Geometric Theory of Integrable Mechanical Systems by Robert Hermann (1984)
"THE CASE WHERE C/H IS A coset SPACE SUCH THAT (C , H) IS A ... In this case, H
is closed, and the coset space C/H is identified with a submanifold of a ..."
2. Topics in the Mathematics of Quantum Mechanics by Robert Hermann (1973)
"INVARIANT CANONICAL STRUCTURES ON coset SPACES OF SEMISIMPLE LIE GROUPS With the
ideas developed in the last two sections, we are in position to tackle a ..."
3. Cartanian Geometry, Nonlinear Waves, and Control Theory by Robert Hermann (1979)
"A METHOD OF CONSTRUCTION OF COMPACT GRASSMANN coset SPACES The material presented
in the previous section has a very general setting, which we can describe ..."
4. Topics in Physical Geometry by Robert Hermann (1988)
"“TENSORIAL SYSTEMS “ ASSOCIATED WITH SUBMANIFOLDS OF coset SPACES The developments
of the previous section——identifying cross—sections of vector bundles as ..."
5. Invariant Measures on Groups and Their Use in Statistics by Robert A. Wijsman (1990)
"Let H be a subgroup of G, then the left coset of gGG modulo H is the subset
gH — {gh : hGH } C G. These cosets are the orbits under the action of H on G to ..."