Intense Automorphisms of Finite Groups PDF Download
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Author: Mima Stanojkovski
Publisher: American Mathematical Society
ISBN: 1470450038
Category : Mathematics
Languages : en
Pages : 117
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Author: Mima Stanojkovski
Publisher: American Mathematical Society
ISBN: 1470450038
Category : Mathematics
Languages : en
Pages : 117
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Book Description
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Author: Inder Bir Singh Passi
Publisher: Springer
ISBN: 9811328951
Category : Mathematics
Languages : en
Pages : 231
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Book Description
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.
Author: David A. Craven
Publisher: American Mathematical Society
ISBN: 1470451190
Category : Mathematics
Languages : en
Pages : 168
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Author: Clifton Cunningham
Publisher: American Mathematical Society
ISBN: 1470451174
Category : Mathematics
Languages : en
Pages : 232
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Author: Matthias Grüninger
Publisher: American Mathematical Society
ISBN: 1470451344
Category : Mathematics
Languages : en
Pages : 154
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Author: Mark Gross
Publisher: American Mathematical Society
ISBN: 1470452979
Category : Mathematics
Languages : en
Pages : 122
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Author: H. Flenner
Publisher: American Mathematical Society
ISBN: 1470453738
Category : Mathematics
Languages : en
Pages : 124
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Author: Michele D’Adderio
Publisher: American Mathematical Society
ISBN: 1470471574
Category : Mathematics
Languages : en
Pages : 138
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Author: Miki Hirano
Publisher: American Mathematical Society
ISBN: 1470452774
Category : Mathematics
Languages : en
Pages : 136
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Author: Alexander V. Kolesnikov
Publisher: American Mathematical Society
ISBN: 1470451603
Category : Mathematics
Languages : en
Pages : 78
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