Automorphisms of Finite Groups / Springer Monographs in Mathematics (PDF)
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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.
Mahender Singh is Assistant Professor at the Indian Institute of Science Education and Research, Mohali. He earned his Ph.D. in mathematics from Harish-Chandra Research Institute, Allahabad (2010). His research interests lie broadly in topology and algebra, with a focus on compact group actions on manifolds, equivariant maps, automorphisms and cohomology of groups, and quandles. He is a recipient of the INSPIRE Faculty award of the Department of Science and Technology, Government of India (2011). He has published several research papers in respected international journals, conference proceedings, and contributed volumes.
Manoj Kumar Yadav is Professor at the
- Autoren: Inder Bir Singh Passi , Mahender Singh , Manoj Kumar Yadav
- 2019, 1st ed. 2018, 217 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 9811328951
- ISBN-13: 9789811328954
- Erscheinungsdatum: 12.01.2019
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- Grösse: 2.43 MB
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