Fusion systems in algebra and topology:
A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally mot...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
|
| Schriftenreihe: | London Mathematical Society lecture note series
391 |
| Links: | https://doi.org/10.1017/CBO9781139003841 |
| Zusammenfassung: | A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians. |
| Umfang: | 1 Online-Ressource (vi, 320 Seiten) |
| ISBN: | 9781139003841 |
Internformat
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781139003841 | ||
| 003 | UkCbUP | ||
| 005 | 20151005020621.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 110124s2011||||enk o ||1 0|eng|d | ||
| 020 | |a 9781139003841 | ||
| 100 | 1 | |a Aschbacher, Michael |d 1944- | |
| 245 | 1 | 0 | |a Fusion systems in algebra and topology |c Michael Aschbacher, Radha Kessar, Bob Oliver |
| 246 | 3 | |a Fusion Systems in Algebra & Topology | |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2011 | |
| 300 | |a 1 Online-Ressource (vi, 320 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a London Mathematical Society lecture note series |v 391 | |
| 520 | |a A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians. | ||
| 700 | 1 | |a Kessar, Radha | |
| 700 | 1 | |a Oliver, Robert |d 1949- | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781107601000 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/CBO9781139003841 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Datensatz im Suchindex
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9781139003841 |
|---|---|
| _version_ | 1827038448610967552 |
| adam_text | |
| any_adam_object | |
| author | Aschbacher, Michael 1944- |
| author2 | Kessar, Radha Oliver, Robert 1949- |
| author2_role | |
| author2_variant | r k rk r o ro |
| author_facet | Aschbacher, Michael 1944- Kessar, Radha Oliver, Robert 1949- |
| author_role | |
| author_sort | Aschbacher, Michael 1944- |
| author_variant | m a ma |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01883nam a2200289 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781139003841</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20151005020621.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">110124s2011||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139003841</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Aschbacher, Michael</subfield><subfield code="d">1944-</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fusion systems in algebra and topology</subfield><subfield code="c">Michael Aschbacher, Radha Kessar, Bob Oliver</subfield></datafield><datafield tag="246" ind1="3" ind2=" "><subfield code="a">Fusion Systems in Algebra & Topology</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (vi, 320 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">391</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kessar, Radha</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Oliver, Robert</subfield><subfield code="d">1949-</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781107601000</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/CBO9781139003841</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9781139003841 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-19T15:54:03Z |
| institution | BVB |
| isbn | 9781139003841 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (vi, 320 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Aschbacher, Michael 1944- Fusion systems in algebra and topology Michael Aschbacher, Radha Kessar, Bob Oliver Fusion Systems in Algebra & Topology Cambridge Cambridge University Press 2011 1 Online-Ressource (vi, 320 Seiten) txt c cr London Mathematical Society lecture note series 391 A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians. Kessar, Radha Oliver, Robert 1949- Erscheint auch als Druck-Ausgabe 9781107601000 |
| spellingShingle | Aschbacher, Michael 1944- Fusion systems in algebra and topology |
| title | Fusion systems in algebra and topology |
| title_alt | Fusion Systems in Algebra & Topology |
| title_auth | Fusion systems in algebra and topology |
| title_exact_search | Fusion systems in algebra and topology |
| title_full | Fusion systems in algebra and topology Michael Aschbacher, Radha Kessar, Bob Oliver |
| title_fullStr | Fusion systems in algebra and topology Michael Aschbacher, Radha Kessar, Bob Oliver |
| title_full_unstemmed | Fusion systems in algebra and topology Michael Aschbacher, Radha Kessar, Bob Oliver |
| title_short | Fusion systems in algebra and topology |
| title_sort | fusion systems in algebra and topology |
| work_keys_str_mv | AT aschbachermichael fusionsystemsinalgebraandtopology AT kessarradha fusionsystemsinalgebraandtopology AT oliverrobert fusionsystemsinalgebraandtopology AT aschbachermichael fusionsystemsinalgebratopology AT kessarradha fusionsystemsinalgebratopology AT oliverrobert fusionsystemsinalgebratopology |