LEADER 03811nam 2200781Ia 450 001 9910791683003321 005 20230725015900.0 010 $a1-282-91226-7 010 $a9786612912269 010 $a3-11-022061-X 024 7 $a10.1515/9783110220612 035 $a(CKB)2560000000053498 035 $a(EBL)655959 035 $a(OCoLC)690115552 035 $a(SSID)ssj0000426151 035 $a(PQKBManifestationID)11295214 035 $a(PQKBTitleCode)TC0000426151 035 $a(PQKBWorkID)10386734 035 $a(PQKB)10846940 035 $a(MiAaPQ)EBC655959 035 $a(DE-B1597)37061 035 $a(OCoLC)1002232085 035 $a(OCoLC)1004879659 035 $a(OCoLC)1011463540 035 $a(OCoLC)979761759 035 $a(OCoLC)987934806 035 $a(OCoLC)992471954 035 $a(OCoLC)999366676 035 $a(DE-B1597)9783110220612 035 $a(Au-PeEL)EBL655959 035 $a(CaPaEBR)ebr10430522 035 $a(CaONFJC)MIL291226 035 $a(EXLCZ)992560000000053498 100 $a20100812d2010 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aProducts of finite groups$b[electronic resource] /$fby Adolfo Ballester-Bolinches, Ramon Esteban-Romero, Mohamed Asaad 210 $aNew York $cDe Gruyter$dc2010 215 $a1 online resource (346 p.) 225 1 $aDe Gruyter expositions in mathematics ;$v53 300 $aDescription based upon print version of record. 311 $a3-11-020417-7 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tContents -- $tChapter 1. Prerequisites -- $tChapter 2. Groups whose subnormal subgroups are normal, permutable, or Sylow-permutable -- $tChapter 3. Products of nilpotent groups -- $tChapter 4. Totally and mutually permutable products of groups - structural results -- $tChapter 5.Totally and mutually permutable products and classes of groups -- $t Backmatter 330 $aThe study of finite groups factorised as a product of two or more subgroups has become a subject of great interest during the last years with applications not only in group theory, but also in other areas like cryptography and coding theory. It has experienced a big impulse with the introduction of some permutability conditions. The aim of this book is to gather, order, and examine part of this material, including the latest advances made, give some new approach to some topics, and present some new subjects of research in the theory of finite factorised groups. Some of the topics covered by this book include groups whose subnormal subgroups are normal, permutable, or Sylow-permutable, products of nilpotent groups, and an exhaustive structural study of totally and mutually permutable products of finite groups and their relation with classes of groups. This monograph is mainly addressed to graduate students and senior researchers interested in the study of products and permutability of finite groups. A background in finite group theory and a basic knowledge of representation theory and classes of groups is recommended to follow it. 410 0$aDe Gruyter expositions in mathematics ;$v53. 606 $aFinite groups 606 $aGroup theory 610 $aCryptology. 610 $aGroup Theory. 610 $aProduct Spaces. 615 0$aFinite groups. 615 0$aGroup theory. 676 $a512/.23 686 $aSK 260$2rvk 700 $aBallester-Bolinches$b Adolfo$0480831 701 $aEsteban-Romero$b Ramon$0515938 701 $aAsaad$b Mohamed$0515939 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910791683003321 996 $aProducts of finite groups$9854093 997 $aUNINA