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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aConjugacy in Finite Classical Groups /$fby Giovanni De Franceschi, Martin W. Liebeck, Eamonn A. O'Brien
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (XI, 176 p.) 
225 1 $aSpringer Monographs in Mathematics,$x2196-9922
311 08$a3-031-86460-3 
327   $a- 1. Introduction and Background -- 2. General and Special Linear Groups -- 3. Preliminaries on Classical Groups -- 4. Unipotent Classes in Good Characteristic -- 5. Unipotent Classes in Bad Characteristic -- 6. Semisimple Classes -- 7. General Conjugacy Classes.
330   $aThis book provides a comprehensive coverage of the theory of conjugacy in finite classical groups. Given such a classical group G, the three fundamental problems considered are the following: to list a representative for each conjugacy class of G; to describe the centralizer of each representative, by giving its group structure and a generating set; and to solve the conjugacy problem in G?namely, given two elements of G, establish whether they are conjugate, and if so, find a conjugating element. The book presents comprehensive theoretical solutions to all three problems, and uses these solutions to formulate practical algorithms. In parallel to the theoretical work, implementations of these algorithms have been developed in Magma. These form a critical component of various general algorithms in computational group theory?for example, computing character tables and solving conjugacy problems in arbitrary finite groups.
410  0$aSpringer Monographs in Mathematics,$x2196-9922
606   $aGroup theory
606   $aGroup Theory and Generalizations
615  0$aGroup theory.
615 14$aGroup Theory and Generalizations.
676   $a512.2
700   $aDe Franceschi$b Giovanni$4aut$4http://id.loc.gov/vocabulary/relators/aut$0786492
702   $aLiebeck$b Martin W$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aO'Brien$b Eamonn A$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9911001470303321
996   $aConjugacy in Finite Classical Groups$94384271
997   $aUNINA