IN many ways this book will prove a useful companion to treatises already available; especially, perhaps, on account of the large number of examples which it contains, and the hints for their solution ...

Group theory serves as a fundamental language for describing symmetry in both mathematics and physics. Finite groups, defined by their limited number of elements, are central to modern algebra and ...

We show that two abelian-by-finite groups are elementarily equivalent if and only if they satisfy the same sentences with two alternations of quantifiers. We also prove that abelian-by-finite groups ...

This is a preview. Log in through your library . Abstract It is shown that there is a formula σ(g) in the first-order language of group theory with the following property: for every finite group G, ...