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  • On the Reciprocity of Generalized Nilpotency in Algebraic Structures

    This book is devoted to examining a range of results and related research stemming from the following classical theorem: If the center of a group has finite index, then the derived subgroup of the group is finite.This theorem, long regarded as a cornerstone of group theory, has played a significant role in the development of infinite group theory. The body of work in which it appears is extensive. ... Leer más

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  • Infinite Groups

    A Roadmap to Selected Classical Areas

    In recent times, group theory has found wider applications in various fields of algebra and mathematics in general. But in order to apply this or that result, you need to know about it, and such results are often diffuse and difficult to locate, necessitating that readers construct an extended search through multiple monographs, articles, and papers. Such readers must wade through the morass of ... Leer más

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  • Linear Groups

    The Accent on Infinite Dimensionality

    Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and ideas in the study of infinite-dimensional linear groups. The theory of finite dimensional linear groups is one of the best developed algebraic theories. The array of articles devoted to this topic is enormous, and there are many monographs concerned with matrix groups, ranging from old, classical texts to ... Leer más

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