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Titlebook: Automorphisms of Finite Groups; Inder Bir Singh Passi,Mahender Singh,Manoj Kumar Y Book 2018 Springer Nature Singapore Pte Ltd. 2018 Autom

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期刊全称Automorphisms of Finite Groups
影响因子2023Inder Bir Singh Passi,Mahender Singh,Manoj Kumar Y
视频videohttp://file.papertrans.cn/167/166637/166637.mp4
发行地址Elucidates automorphisms of groups as a fundamental topic of study in group theory.Explores various developments on the relationship between orders of finite groups and their automorphism groups.Provi
学科分类Springer Monographs in Mathematics
图书封面Titlebook: Automorphisms of Finite Groups;  Inder Bir Singh Passi,Mahender Singh,Manoj Kumar Y Book 2018 Springer Nature Singapore Pte Ltd. 2018 Autom
影响因子.The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental exact sequence of Wells that relates automorphisms, derivations and cohomology of groups, along with some interesting applications of the sequence. The second part offers an account of important developments on a conjecture that a finite group has at least a prescribed number of automorphisms if the order of the group is sufficiently large. A non-abelian group of prime-power order is said to have divisibility property if its order divides that of its automorphism group. The final part of the book discusses the literature on divisibility property of groups culminating in the existence of groups without this property. Unifying various ideas developed over the years, this largely self-contained book includes results that are either proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra..
Pindex Book 2018
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1439-7382 orders of finite groups and their automorphism groups.Provi.The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of th
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Groups with Divisibility Property-I,nilpotency class 2 [33], .-groups with metacyclic central quotient [18], modular .-group [22], .-abelian .-groups [19], and groups with small central quotient [20]. In view of Theorem ., it can be assumed that the groups under consideration are non-abelian .-groups. The main ingredient in verifying
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Leading Through Strategic Mindsetnilpotency class 2 [33], .-groups with metacyclic central quotient [18], modular .-group [22], .-abelian .-groups [19], and groups with small central quotient [20]. In view of Theorem ., it can be assumed that the groups under consideration are non-abelian .-groups. The main ingredient in verifying
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1439-7382 er proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra..978-981-13-2895-4Series ISSN 1439-7382 Series E-ISSN 2196-9922
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