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Showing 1 to 3 of 3 for “"group actions on trees"”.
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Irreducible Representations from Group Actions on Trees
<p>We study the representations of the symmetric group $S_n$ found by acting on</p> <p>labeled graphs and trees with $n$ vertices. Our main results provide</p> <p>combinatorial interpretations that give the number of times the irreducible</p> <p>representations associated with the integer …
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Discrete and free subgroups of SL₂
In this thesis, we study finitely generated subgroups of the matrix group SL₂ (over various locally compact fields) which are both discrete and free. We first examine the existing literature on two- and three-generated subgroups of SL₂(R) and SL₂(C). Some such subgroups are known to be free, and …
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Generalisations of the almost stability theorem
This thesis is concerned with the actions of groups on trees and their corresponding decompositions. In particular, we generalise the Almost Stability Theorem of Dicks and Dunwoody [12] and an associated application of Kropholler [23] on when a group of finite cohomological dimension splits over a …