Results 71 to 80 of about 763 (169)

Automorphisms of graph groups

open access: yesJournal of Algebra, 1989
Given a graph \(\Gamma=(V,E)\), the graph group \(F\langle\Gamma\rangle\) is the group with presentation \(\langle V\mid [E]\rangle\), where \([E]\) denotes the set of commutators \(\{[a,b]\mid\{a,b\}\in E\}\). The graph group \(F\langle\Gamma\rangle\) is modeled to be a group analog of the graph algebra K(\(\Gamma)\) generated as a free associative ...
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Bounded Automorphisms of Groups

open access: yesJournal of Algebra, 1994
Let \(G\) be the fundamental group of a graph of groups (in the sense of Bass-Serre theory). Such a group has a natural length function and thus a corresponding notion of bounded subgroups and bounded automorphisms. The general result of this paper is that an automorphism of \(G\) is bounded if and only if it is induced by isomorphisms of vertex groups
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On the order of groups of automorphisms [PDF]

open access: yesTransactions of the American Mathematical Society, 1936
Birkhoff, Garrett, Hall, Philip
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