Groups acting on trees : from local to global structure
Marc Burger, Shahar Mozes (2000)
Publications Mathématiques de l'IHÉS
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Marc Burger, Shahar Mozes (2000)
Publications Mathématiques de l'IHÉS
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Dobson, Edward, Kovács, István (2009)
The Electronic Journal of Combinatorics [electronic only]
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Andrea Lucchini (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Cansu Betin, Mahmut Kuzucuoğlu (2013)
Open Mathematics
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We show that a barely transitive group is totally imprimitive if and only if it is locally graded. Moreover, we obtain the description of a barely transitive group G for the case G has a cyclic subgroup 〈x〉 which intersects non-trivially with all subgroups and for the case a point stabilizer H of G has a subgroup H 1 of finite index in H satisfying the identity χ(H 1) = 1, where χ is a multi-linear commutator of weight w.
M. Kuzucuoğlu (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Mauro Costantini, Giovanni Zacher (2005)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We give criteria for a wreath product to have complemented subgroup-lattice.
Robertson, Guyan (2005)
The New York Journal of Mathematics [electronic only]
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Charles Terence Clegg Wall (2003)
Revista Matemática Complutense
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A survey of splitting theorems for abstract groups and their applications. Topics covered include preliminaries, early results, Bass-Serre theory, the structure of G-trees, Serre's applications to SL and length functions. Stallings' theorem, results about accessibility and bounds for splittability. Duality groups and pairs; results of Eckmann and collaborators on PD groups. Relative ends, the JSJ theorems and the splitting results of Kropholler and Roller on PD groups. Notions of quasi-isometry,...
F.E.A. Johnson (1994)
Collectanea Mathematica
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