Groups an introduction to ideas and methods of the theory of groups /
Groups are a means of classification, via the group action on a set, but also the object of a classification. How many groups of a given type are there, and how can they be described? Hölder's program for attacking this problem in the case of finite groups is a sort of leitmotiv throughout the...
| Uniform Title: | Gruppi. English |
|---|---|
| Main Author: | Machì, Antonio. |
| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English Italian |
| Published: |
Milan ; New York :
Springer,
©2012.
Milan ; New York : [2012] |
| Physical Description: |
1 online resource (xiii, 371 pages). |
| Series: |
Unitext.
|
| Subjects: |
| LEADER | 04878cam a2200985 a 4500 | ||
|---|---|---|---|
| 001 | 786033656 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 120418s2012 it ob 001 0 eng d | ||
| 019 | |a 801364224 |a 804921779 |a 1110945924 |a 1159418659 | ||
| 020 | |a 9788847024212 |q (electronic bk.) | ||
| 020 | |a 8847024218 |q (electronic bk.) | ||
| 020 | |a 884702420X |q (print) | ||
| 020 | |a 9788847024205 |q (print) | ||
| 020 | |z 9788847024205 | ||
| 024 | 7 | |a 10.1007/978-88-470-2421-2 |2 doi | |
| 035 | |a (OCoLC)786033656 |z (OCoLC)801364224 |z (OCoLC)804921779 |z (OCoLC)1110945924 |z (OCoLC)1159418659 | ||
| 037 | |b Springer | ||
| 040 | |a GW5XE |b eng |e pn |c GW5XE |d ZMC |d COO |d OCLCQ |d E7B |d OCLCF |d TPH |d VT2 |d AU@ |d YDXCP |d EBLCP |d OCLCQ |d OCLCO |d OCLCQ |d DEBSZ |d OCLCQ |d Z5A |d ESU |d OCLCQ |d OCLCO |d IOG |d OCLCO |d CEF |d OCLCQ |d U3W |d OCLCO |d WYU |d OCLCA |d YOU |d TKN |d LEAUB |d OL$ |d OCLCQ |d DCT |d UKAHL |d OCLCQ |d OCLCO |d OCLCQ |d AAA |d OCLCO |d OCL |d OCLCQ |d OCLCO |d S9M | ||
| 041 | 1 | |a eng |h ita | |
| 049 | |a COM6 | ||
| 050 | 4 | |a QA171 |b .M33 2012 | |
| 060 | 4 | |a Online book | |
| 072 | 7 | |a PBF |2 bicssc | |
| 072 | 7 | |a MAT002000 |2 bisacsh | |
| 082 | 0 | 4 | |a 512/.2 |2 23 |
| 100 | 1 | |a Machì, Antonio. | |
| 240 | 1 | 0 | |a Gruppi. |l English. |
| 245 | 1 | 0 | |a Groups : |b an introduction to ideas and methods of the theory of groups / |c Antonio Machì. |
| 260 | |a Milan ; |a New York : |b Springer, |c ©2012. | ||
| 264 | 1 | |a Milan ; |a New York : |b Springer, |c [2012] | |
| 264 | 4 | |c ©2012. | |
| 300 | |a 1 online resource (xiii, 371 pages). | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 347 | |a text file. | ||
| 347 | |b PDF. | ||
| 490 | 1 | |a Unitext, |x 2038-5714. | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Introductory Notions -- |t Normal Subgroups, Conjugation and Isomorphism Theorems -- |t Group Actions and Permutation Groups -- |t Generators and Relations -- |t Nilpotent Groups and Solvable Groups -- |t Representations -- |t Extensions and Cohomology -- |t Solution to the exercises. |
| 520 | |a Groups are a means of classification, via the group action on a set, but also the object of a classification. How many groups of a given type are there, and how can they be described? Hölder's program for attacking this problem in the case of finite groups is a sort of leitmotiv throughout the text. Infinite groups are also considered, with particular attention to logical and decision problems. Abelian, nilpotent and solvable groups are studied both in the finite and infinite case. Permutation groups and are treated in detail; their relationship with Galois theory is often taken into account. The last two chapters deal with the representation theory of finite group and the cohomology theory of groups; the latter with special emphasis on the extension problem. The sections are followed by exercises; hints to the solution are given, and for most of them a complete solution is provided. | ||
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 1 | 2 | |a Mathematics. |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 6 | |a Mathématiques. | |
| 650 | 7 | |a Teoría de grupos. |2 embne. | |
| 650 | 7 | |a Matemáticas. |2 embne. | |
| 650 | 7 | |a Mathematics. |2 fast. | |
| 650 | 7 | |a Group theory. |2 fast. | |
| 653 | 4 | |a Mathematics. | |
| 653 | 4 | |a Algebra. | |
| 653 | 4 | |a Group theory. | |
| 653 | 4 | |a Group Theory and Generalizations. | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 776 | 0 | 8 | |i Printed edition: |z 9788847024205. |
| 830 | 0 | |a Unitext. | |
| 907 | |a .b35422737 |b multi |c - |d 120522 |e 240516 | ||
| 998 | |a (3)cue |a cc |a cu |b 240404 |c m |d z |e - |f eng |g it |h 0 |i 3 | ||
| 948 | |a MARCIVE Overnight, in 2024.04 | ||
| 948 | |a MARCIVE Comp, in 2022.12 | ||
| 948 | |a MARCIVE Over, 07/2021 | ||
| 948 | |a MARCIVE Comp, 2019.12 | ||
| 948 | |a MARCIVE Comp, 2018.05 | ||
| 948 | |a MARCIVE August, 2017 | ||
| 948 | |a MARCIVE extract Aug, 5 2017 | ||
| 994 | |a 92 |b COM | ||
| 995 | |a Loaded with m2btab.ltiac in 2024.04 | ||
| 995 | |a Loaded with m2btab.elec in 2024.04 | ||
| 995 | |a Loaded with m2btab.ltiac in 2022.12 | ||
| 995 | |a Loaded with m2btab.ltiac in 2021.07 | ||
| 995 | |a Loaded with m2btab.elec in 2021.06 | ||
| 995 | |a Loaded with m2btab.ltiac in 2019.12 | ||
| 995 | |a Loaded with m2btab.ltiac in 2018.06 | ||
| 995 | |a Loaded with m2btab.ltiac in 2017.08 | ||
| 995 | |a Loaded with m2btab.elec in 2016 | ||
| 995 | |a Loaded with m2btab.elec in 2016 | ||
| 995 | |a OCLC offline update by CMU | ||
| 995 | |a Loaded with m2btab.auth in 2021.07 | ||
| 999 | |e z | ||
| 999 | |a cue | ||
| 989 | |d cueme |e - - |f - - |g - |h 0 |i 0 |j 200 |k 240404 |l $0.00 |m |n - - |o - |p 0 |q 0 |t 0 |x 0 |w SpringerLink |1 .i151359593 |u http://ezproxy.coloradomesa.edu/login?url=https://link.springer.com/10.1007/978-88-470-2421-2 |3 SpringerLink |z Click here for access | ||