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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.
Despite extensive research and medical advancements in the
prevention, diagnosis and treatment of dreaded diseases like
Diabetes, Cancer, Neurodegenerative and Heart diseases, continue to
impose a great threat to human life. Research in human
developmental biology has led to the discovery of stem cells which
has the potential to cure wide range of dreaded diseases. Stem
cells are the unicellular equivalent to the entire animal. In
optimum culture milieu they can be differentiated into all cell
types of an adult animal. The capability of potency and the
relative ease to isolate and expand these cells are invaluable
properties for regenerative medicine. Stem cells hold tremendous
promise to unravel the key developmental pathways involved in
organogenesis and may serve as an essential tissue source for
regenerative therapy. Stem cell biology is a fast growing field
that is providing new insights into the molecular mechanisms that
control developmental processes. At the same time, stem cells may
have potential uses in the treatment of devastating diseases such
as cardiovascular disease, neurodegenerative disease,
musculoskeletal disease, diabetes and cancer. The enormous clinical
potential of cardiac regeneration has generated great expectations
in both clinicians and patients. Regenerative medicine in the field
of skin, cartilage, bone, adipose tissue, and cornea is already
well established and is used clinically. Stem cell research
harbours potential to have a significant impact on human health.
The book will help to increase the awareness vis-a-vis stem cell
research in developing countries in particular India. The book
pronounces the ways which may help us to extract maximum benefits
from state of the art technology. The thrust areas of the proposed
book are induced pluripotent stem cells, cord blood stem cells,
mesenchymal stem cells, livestock stem cells, amniotic fluid stem
cells, role of epigenetics in stem cells, tissue engineering,
cancer stem cells, bioinformatics strategies for stem cell
research, Protocols for iPS generation and so on. These areas have
been identified keeping in mind the current and future alighted
issues that have a direct impact on the health sector of the world
in general.
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