scholarly journals Outer automorphisms of adjoint groups of type $\mathsf {D}$ and nonrational adjoint groups of outer type $\mathsf {A}$

2019 ◽  
Vol 372 (4) ◽  
pp. 2613-2630
Author(s):  
Demba Barry ◽  
Jean-Pierre Tignol
Keyword(s):  
Outer Automorphisms

Finite metabelian groups with no outer automorphisms

1979 ◽  
Vol 32 (1) ◽  
pp. 417-423 ◽  
Author(s):  
Terence M. Gagen ◽  
Derek J. S. Robinson
Keyword(s):  
Metabelian Groups ◽  
Outer Automorphisms

Outer Automorphisms of S6

1982 ◽  
Vol 89 (6) ◽  
pp. 407-410 ◽  
Author(s):  
Gerald Janusz ◽  
Joseph Rotman
Keyword(s):  
Outer Automorphisms

scholarly journals QUASI-ISOMETRIES, BOUNDARIES AND JSJ-DECOMPOSITIONS OF RELATIVELY HYPERBOLIC GROUPS

2013 ◽  
Vol 05 (04) ◽  
pp. 451-475 ◽  
Author(s):  
BRADLEY W. GROFF
Keyword(s):  
Hyperbolic Groups ◽  
Isometry Groups ◽  
Geometric Structures ◽  
Relatively Hyperbolic Groups ◽  
Jsj Decomposition ◽  
Outer Automorphisms ◽  
Jsj Decompositions ◽  
Relatively Hyperbolic

We demonstrate the quasi-isometry invariance of two important geometric structures for relatively hyperbolic groups: the coned space and the cusped space. As applications, we produce a JSJ-decomposition for relatively hyperbolic groups which is invariant under quasi-isometries and outer automorphisms, as well as a related splitting of the quasi-isometry groups of relatively hyperbolic groups.

Outer Automorphisms of Regular Completions

1983 ◽  
Vol s2-27 (1) ◽  
pp. 150-156 ◽  
Author(s):  
K. Saitô ◽  
J. D. Maitland Wright
Keyword(s):  
Outer Automorphisms

scholarly journals On Crossed Products of a Sfield

1963 ◽  
Vol 22 ◽  
pp. 65-71 ◽  
Author(s):  
Masatoshi Ikeda
Keyword(s):  
Integral Domain ◽  
Free Abelian Group ◽  
Group Extension ◽  
Crossed Products ◽  
Torsion Free Abelian Group ◽  
Outer Automorphisms ◽  
Identity Automorphism ◽  
Limit Ordinal ◽  
Group B ◽  
Torsion Free

In the previous paper [3] the author has shown a possibility to construct a series of sfields by taking sfields of quotients of split crossed products of a sfield. In this paper the same problem is treated, and, by considering general crossed products, a generalization of the previous result is given: Let K be a sfield and G be the join of a well-ordered ascending chain of groups Gα of outer automorphisms of K such that a) G1 is the identity automorphism group, b) Gα is a group extension of Gα-1 by a torsion-free abelian group for each non-limit ordinal α, and c) for each limit ordinal α. Then an arbitrary crossed product of K with G is an integral domain with a sfield of quotients Q and the commutor ring of K in Q coincides with the centre of K.

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