Classification of finite groups is a central problem in theory of
groups. Even though finite abelian groups have been completely
classified, a lot still remains to be done as far as non-abelian
groups are concerned. People all over the world have used various
types of invariants for classifying finite non-abelian groups. The
commutativity degree of a finite group is one such invariant. It is
the probability that two randomly chosen group elements commute.
This book contains some new results on commutativity degree of
finite groups. Several generalizations of the concept of
commutativity degree are introduced and studied in this book. In
particular, some characterizations of finite groups are obtained in
terms of commutativity degree and generalized commutativity
degrees. Some generalizations of a classical result of F. G.
Frobenius regarding the number of solutions of a commutator
equation in a finite group are also disscussed. The book begins
with a brief recollection of a few definitions and well-known
results from several relevant topics, which constitute the minimum
prerequisites for the subsequent chapters, and ends with a
discussion on some possible research problems.
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!