Automorphism commutators

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IA automorphism

N2 - Conditions are established on a group G which guarantee that the number of commutators required to express an arbitrary element of the commutator subgroup [G, G] of G is less than a fixed natural number N. AB - Conditions are established on a group G which guarantee that the number of commutators required to express an arbitrary element of the commutator subgroup [G, G] of G is less than a fixed natural number N. Abstract Conditions are established on a group G which guarantee that the number of commutators required to express an arbitrary element of the commutator subgroup [G, G] of G is less than a fixed natural number N.

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Natural number. Automorphism Group. K-Theory , 2 6 , Dennis, R. Any help would be appreciated! Sign up to join this community.

  • [] Automorphism group of the commutator subgroup of the braid group?
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2.1 The Symplectic Form and the Heisenberg group

Show that any automorphism of the free group maps the normal commutator group to the normal commutator group Ask Question. Asked 2 years ago. Active 2 years ago.

IA automorphisms of free and free metabelian groups

AUTOMORPHISM GROUP OF THE COMMUTATOR. SUBGROUP OF THE BRAID GROUP. S. Yu. Orevkov. Introduction. Let Bn be the braid group with n strings. Full text. Full text is available as a scanned copy of the original print version. Get a printable copy (PDF file) of the complete article (K), or click on a page.

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We study polynomial mappings of groups, mainly to nilpotent groups. Further operators which are nilpotent of order two. To second order, the commutator of infinitesimal rotations of rotations about the first two axes equals twice one rotation about the third axis given the squared angle minus a zero rotation about an arbitrary axis a fancy way to say the identity. However, T is quasinilpotent. In: K-Theory. We show a surprising link between singularity theory and the invariant subspace problem of nilpotent operators as recently studied by C.

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  • Nilpotent operators?
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