Übersetzung für 'knot group' von Englisch nach Deutsch

knot group

Knotengruppe {f}math.

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aldehyde group <CHO group>

Aldehyd-Gruppe {f} <CHO-Gruppe>chem.

Aldehydgruppe {f} <CHO-Gruppe>chem.

Werbung

carbonyl group <CO group>

Carbonylgruppe {f} <CO-Gruppe>chem.

Karbonylgruppe {f} [Rsv.] <CO-Gruppe>chem.

Ketogruppe {f} <CO-Gruppe>chem.

Carbonyl-Gruppe {f} <CO-Gruppe>chem.

isocyanate group <NCO group>

Isocyanat-Gruppe {f} <NCO-Gruppe>chem.

Isocyanatgruppe {f} <NCO-Gruppe>chem.

to knot

knüpfen

knoten

einen Knoten machen

zuknoten

knot

Knoten {m}

Verwachsung {f} [im Holz]

Knäuel {m} {n}

Knorren {m}bot.

Stich {m}naut.

Grüppchen {n}

Knopf {m} [österr.] [schweiz.] [südd.] [Knoten]

shield knot

Schildknoten {m}herald.myth.relig.

• Alexander, and others—studied knots from the point of view of the knot group and invariants from homology theory such as the Alexander polynomial.
• In the mathematical field of knot theory, Fox "n"-coloring is a method of specifying a representation of a knot group or a group of a link (not to be confused with a link group) onto the dihedral group of order "n" where "n" is an odd integer by coloring arcs in a link diagram (the representation itself is also often called a Fox "n"-coloring).
• The link group of the "n"-component unlink is the free group on "n" generators, "F'n", as the link group of a single link is the knot group of the unknot, which is the integers, and the link group of an unlinked union is the free product of the link groups of the components.
• The unknot is the only knot whose knot group is an infinite cyclic group, and its knot complement is homeomorphic to a solid torus.
• It is possible to express longitudes and meridians of a knot as words in the Wirtinger presentation of the knot group, without reference to the knot itself.

• This is isomorphic to the knot group of the granny knot, and is the simplest example of two different knots with isomorphic knot groups.
• The braid group [...] in turn is isomorphic to the knot group of the trefoil knot.
• Alexander, Ralph Fox considered a copresentation of the knot group [...] , and introduced non-commutative differential calculus [...] , which also permits one to compute [...].