Introduction.- p-groups.- Fundamental exact sequence of Wells.- Automorphism groups of finite groups.- Groups with Divisibility Property-I.- Groups with Divisibility Property-II.- Groups without Divisibility Property.
Inder Bir Singh Passi is Professor Emeritus at Panjab
University, Chandigarh; Honorary Professor at the Indian Institute
of Science Education and Research, Mohali; Professor at Ashoka
University, Sonipat; and INSA Emeritus Scientist. Earlier, he has
held several academic positions including Professor at Kurukshetra
University, Kurukshetra; Professor at Panjab University,
Chandigarh; Visiting Professor at the University of California, Los
Angeles; Universitaet Goettingen, Goettingen; and Harish-Chandra
Research Institute, Allahabad. He is a recipient of the Shanti
Swarup Bhatnagar Prize for Mathematical Sciences (1983), the
Meghnad Saha Award for Research in Theoretical Sciences (1988), the
Distinguished Service Award (2003) by Mathematical Association of
India; Khosla National Award (2011) by the Indian Institute of
Technology Roorkee; and Prasanta Chandra Mahalanobis Medal (2011)
by the Indian National Science Academy. His research interests are
in algebra, particularly in group theory and group rings. He has
published/co-authored/edited more than ten books including Group
Rings and Their Augmentation Ideals and Lower Central and Dimension
Series of Groups (both with Springer), as well as several research
papers in respected international journals, conference proceedings,
and contributed volumes.
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 Harish-Chandra
Research Institute, Allahabad. He received his Ph.D. in mathematics
from Kurukshetra University, Haryana (2002). He is a recipient of
the Indian National Science Academy Medal for Young Scientists
(2009) and the Department of Science and Technology, Science and
Engineering Research Council (SERC), fellowship Fast Track Scheme
for Young Scientists (2005). He is a member of the National Academy
of Sciences, India (NASI). His research interests lie in group
theory, particularly the automorphisms, conjugacy classes, and
Schur multipliers of groups. He has published several research
papers in respected international journals, conference proceedings,
and contributed volumes.
"The book is valuable as a source of results that are less known
and are of independent interest. ... the book is aimed at
researchers in group theory and at graduate students in algebra.
Far from being a comprehensive treatise, it is a useful book to
have for those interested in studying the relation between a finite
group and its automorphism group." (Marian Deaconescu, zbMATH
1447.20004, 2020)
"The audience for this interesting book includes group theorists
and graduate students headed in this direction." (Michael Berg, MAA
Reviews, October 6, 2019)
"It represents a useful reference text for researchers in the area,
but easily doubles as a very readable introductory text for
graduate students ... ." (Andrea Caranti, Mathematical Reviews,
August, 2019)
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