000 | 02621nam a22004575i 4500 | ||
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001 | 978-3-540-45817-3 | ||
003 | DE-He213 | ||
005 | 20160624101821.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2002 gw | s |||| 0|eng d | ||
020 |
_a9783540458173 _9978-3-540-45817-3 |
||
024 | 7 |
_a10.1007/b83276 _2doi |
|
050 | 4 | _aQA174-183 | |
072 | 7 |
_aPBG _2bicssc |
|
072 | 7 |
_aMAT002010 _2bisacsh |
|
082 | 0 | 4 |
_a512.2 _223 |
100 | 1 |
_aKiechle, Hubert. _eauthor. |
|
245 | 1 | 0 |
_aTheory of K-Loops _h[electronic resource] / _cby Hubert Kiechle. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2002. |
|
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2002. |
|
300 |
_aX, 186 p. _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 |
_aLecture Notes in Mathematics, _x1617-9692 ; _v1778 |
|
505 | 0 | _aIntroduction -- Preliminaries -- Left Loops and Transversals -- The Left Inverse Property and Kikkawa Loops -- Isotopy Theory -- Nuclei and the Autotopism Group -- Bol Loops and K-Loops -- Frobenius Ggroups with Mmany Involutions -- Loops with Fibrations -- K-Loops from Classical Groups over Ordered Fields -- Relativistic Velocity Addition -- K-Loops from the General Linear Groups over Rings -- Derivations. | |
520 | _aThe book contains the first systematic exposition of the current known theory of K-loops, as well as some new material. In particular, big classes of examples are constructed. The theory for sharply 2-transitive groups is generalized to the theory of Frobenius groups with many involutions. A detailed discussion of the relativistic velocity addition based on the author's construction of K-loops from classical groups is also included. The first chapters of the book can be used as a text, the later chapters are research notes, and only partially suitable for the classroom. The style is concise, but complete proofs are given. The prerequisites are a basic knowledge of algebra such as groups, fields, and vector spaces with forms. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aGroup theory. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aGroup Theory and Generalizations. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540432623 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x1617-9692 ; _v1778 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/b83276 |
942 |
_2EBK1344 _cEBK |
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999 |
_c30638 _d30638 |