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Sam Nead
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I would like to improve my culture on"depth of understanding" in geometric group theory, so. So I am interested in short and accessible papers on subjects related to this field but which are not always available in the classical references.

To make my question more precise: By short, I mean a research paper aboutof at most twenty pages or a book containing at most one hundred pages. By accessible, I mean a(n almost) self-contained paper for postgraduate students.

BelowHere are some examples which I think they should beare suitable:

  • Topology of finite graphs, Stallings (15 pages). One of my favorite papers. Stallings shows how to apply covering spaces to finite graphs in order to prove several non trivial-trivial properties of free groups.

  • Topological methods in group theory, Scott and Wall (about 60 pages). The authors proves several classical results of geometric group theory (Stallings' ends theorem, Grushko's and Kurosh's theorems, Bass-Serre theory) using the formalism of graphs of spaces.

  • Subgroups of surface groups are almost geometric, Scott (12 pages). Peter Scott proves that surface groups are LERF by using hyperbolic geometry.

I hope my question will turn out to beis precise enough to be of interest.

EDIT: I don't think my question is a duplicate of Introductory text on geometric group theory?. Rather, I see it as a complementcomplementary: I ask about some interesting subjects which are typically not available intoin these classical references.

I would like to improve my culture on geometric group theory, so I am interested in short and accessible papers on subjects related to this field but which are not always available in the classical references.

To make my question more precise: By short, I mean a research paper about twenty pages or a book containing at most one hundred pages. By accessible, I mean a(n almost) self-contained paper for postgraduate students.

Below are some examples I think they should be suitable:

  • Topology of finite graphs, Stallings (15 pages). One of my favorite papers. Stallings shows how to apply covering spaces to finite graphs in order to prove several non trivial properties of free groups.

  • Topological methods in group theory, Scott and Wall (about 60 pages). The authors proves several classical results of geometric group theory (Stallings' ends theorem, Grushko's and Kurosh's theorems, Bass-Serre theory) using the formalism of graphs of spaces.

  • Subgroups of surface groups are almost geometric, Scott (12 pages). Peter Scott proves that surface groups are LERF by using hyperbolic geometry.

I hope my question will turn out to be precise enough to be of interest.

EDIT: I don't think my question is a duplicate of Introductory text on geometric group theory?. Rather, I see it as a complement: I ask about some interesting subjects which are typically not available into these classical references.

I would like to improve my "depth of understanding" in geometric group theory. So I am interested in short and accessible papers on subjects related to this field but which are not always available in the classical references.

To make my question more precise: By short, I mean a research paper of at most twenty pages or a book containing at most one hundred pages. By accessible, I mean a(n almost) self-contained paper for postgraduate students.

Here are some examples which I think are suitable:

  • Topology of finite graphs, Stallings (15 pages). One of my favorite papers. Stallings shows how to apply covering spaces to finite graphs in order to prove several non-trivial properties of free groups.

  • Topological methods in group theory, Scott and Wall (about 60 pages). The authors proves several classical results of geometric group theory (Stallings' ends theorem, Grushko's and Kurosh's theorems, Bass-Serre theory) using the formalism of graphs of spaces.

  • Subgroups of surface groups are almost geometric, Scott (12 pages). Peter Scott proves that surface groups are LERF by using hyperbolic geometry.

I hope my question is precise enough to be of interest.

EDIT: I don't think my question is a duplicate of Introductory text on geometric group theory?. Rather, I see it as complementary: I ask about some interesting subjects which are typically not available in these classical references.

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Stefan Kohl
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replaced http://mathoverflow.net/ with https://mathoverflow.net/
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I would like to improve my culture on geometric group theory, so I am interested in short and accessible papers on subjects related to this field but which are not always available in the classical references.

To make my question more precise: By short, I mean a research paper about twenty pages or a book containing at most one hundred pages. By accessible, I mean a(n almost) self-contained paper for postgraduate students.

Below are some examples I think they should be suitable:

  • Topology of finite graphs, Stallings (15 pages). One of my favorite papers. Stallings shows how to apply covering spaces to finite graphs in order to prove several non trivial properties of free groups.

  • Topological methods in group theory, Scott and Wall (about 60 pages). The authors proves several classical results of geometric group theory (Stallings' ends theorem, Grushko's and Kurosh's theorems, Bass-Serre theory) using the formalism of graphs of spaces.

  • Subgroups of surface groups are almost geometric, Scott (12 pages). Peter Scott proves that surface groups are LERF by using hyperbolic geometry.

I hope my question will turn out to be precise enough to be of interest.

EDIT: I don't think my question is a duplicate of Introductory text on geometric group theory?Introductory text on geometric group theory?. Rather, I see it as a complement: I ask about some interesting subjects which are typically not available into these classical references.

I would like to improve my culture on geometric group theory, so I am interested in short and accessible papers on subjects related to this field but which are not always available in the classical references.

To make my question more precise: By short, I mean a research paper about twenty pages or a book containing at most one hundred pages. By accessible, I mean a(n almost) self-contained paper for postgraduate students.

Below are some examples I think they should be suitable:

  • Topology of finite graphs, Stallings (15 pages). One of my favorite papers. Stallings shows how to apply covering spaces to finite graphs in order to prove several non trivial properties of free groups.

  • Topological methods in group theory, Scott and Wall (about 60 pages). The authors proves several classical results of geometric group theory (Stallings' ends theorem, Grushko's and Kurosh's theorems, Bass-Serre theory) using the formalism of graphs of spaces.

  • Subgroups of surface groups are almost geometric, Scott (12 pages). Peter Scott proves that surface groups are LERF by using hyperbolic geometry.

I hope my question will turn out to be precise enough to be of interest.

EDIT: I don't think my question is a duplicate of Introductory text on geometric group theory?. Rather, I see it as a complement: I ask about some interesting subjects which are typically not available into these classical references.

I would like to improve my culture on geometric group theory, so I am interested in short and accessible papers on subjects related to this field but which are not always available in the classical references.

To make my question more precise: By short, I mean a research paper about twenty pages or a book containing at most one hundred pages. By accessible, I mean a(n almost) self-contained paper for postgraduate students.

Below are some examples I think they should be suitable:

  • Topology of finite graphs, Stallings (15 pages). One of my favorite papers. Stallings shows how to apply covering spaces to finite graphs in order to prove several non trivial properties of free groups.

  • Topological methods in group theory, Scott and Wall (about 60 pages). The authors proves several classical results of geometric group theory (Stallings' ends theorem, Grushko's and Kurosh's theorems, Bass-Serre theory) using the formalism of graphs of spaces.

  • Subgroups of surface groups are almost geometric, Scott (12 pages). Peter Scott proves that surface groups are LERF by using hyperbolic geometry.

I hope my question will turn out to be precise enough to be of interest.

EDIT: I don't think my question is a duplicate of Introductory text on geometric group theory?. Rather, I see it as a complement: I ask about some interesting subjects which are typically not available into these classical references.

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Seirios
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