| 000 | 03586nam a22005895i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-50706-9 | ||
| 003 | DE-He213 | ||
| 005 | 20251030111815.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240412s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031507069 _9978-3-031-50706-9 |
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| 024 | 7 |
_a10.1007/978-3-031-50706-9 _2doi |
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| 072 | 7 |
_aPB _2bicssc |
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| 072 | 7 |
_aMAT000000 _2bisacsh |
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| 072 | 7 |
_aPB _2thema |
|
| 100 | 1 |
_aCossey, James. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _975070 |
|
| 245 | 1 | 0 |
_aCharacters and Blocks of Solvable Groups _h[electronic resource] : _bA User’s Guide to Large Orbit Theorems / _cby James Cossey, Yong Yang. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Springer, _c2024. |
|
| 300 |
_aIX, 159 p. 1 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
|
| 505 | 0 | _aIntroduction -- Background Material -- Solvable Linear Groups and Gluck’s Permutation Lemma -- Gluck’s Conjecture -- The Huppert ρ-σ Conjecture -- Dolfi’s Theorem -- Induction and Restriction of Characters From p-Complements -- Brauer Graphs of Solvable Groups, I -- Brauer Graphs of Solvable Groups, II -- Conjugacy Classes, Codegrees, Zeros, and other Applications. | |
| 520 | _aThis book highlights recent developments in the representation theory of finite solvable groups, which seeks to connect group theory to linear algebra in ways that allow for better study of the groups in question. Over the last several decades, a number of results in the representations of solvable groups have been proven using so-called “large orbit” theorems. This book provides an extensive survey of the current state of the large-orbit theorems. The authors outline the proofs of the large orbit theorems to provide an overview of the topic, then demonstrate how these theorems can be used to prove new results about solvable groups. In addition, this book: Discusses recent developments in the representation theory of finite solvable groups Provides an extensive survey of the current state of the large-orbit theorems, providing a broad overview of the topic Includes proofs that demonstrate how these theorems can be applied to prove new results about solvable groups. | ||
| 650 | 0 |
_aMathematics. _965523 |
|
| 650 | 0 |
_aAlgebra. _91501 |
|
| 650 | 0 |
_aAlgebras, Linear. _971217 |
|
| 650 | 0 |
_aGroup theory. _970149 |
|
| 650 | 0 |
_aMathematics _xData processing. _965715 |
|
| 650 | 1 | 4 |
_aMathematics. _965523 |
| 650 | 2 | 4 |
_aAlgebra. _91501 |
| 650 | 2 | 4 |
_aLinear Algebra. _971220 |
| 650 | 2 | 4 |
_aGroup Theory and Generalizations. _970154 |
| 650 | 2 | 4 |
_aApplications of Mathematics. _965529 |
| 650 | 2 | 4 |
_aComputational Mathematics and Numerical Analysis. _966073 |
| 700 | 1 |
_aYang, Yong. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _975071 |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031507052 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031507076 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031507083 |
| 830 | 0 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-50706-9 |
| 912 | _aZDB-2-SXSC | ||
| 999 |
_c59091 _d59091 |
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