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This authoritative book on periodic locally compact groups is divided into three parts: The first part covers the necessary background material on locally compact groups including the Chabauty topology on the space of closed subgroups of a locally co
Autor:
Karl H. Hofmann, Sidney A. Morris
The subject matter of compact groups is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics. This book serves the dual purpose of providing a textbook on it for upper level graduate courses or seminars, and
Autor:
Karl H. Hofmann, Sidney A. Morris
Publikováno v:
Axioms, Vol 10, Iss 3, p 190 (2021)
This article surveys the development of the theory of compact groups and pro-Lie groups, contextualizing the major achievements over 125 years and focusing on some progress in the last quarter century. It begins with developments in the 18th and 19th
Externí odkaz:
https://doaj.org/article/36bfb5efa8e94bdeb0285834fcc4917b
Autor:
Karl H. Hofmann, Sidney A. Morris
Publikováno v:
Axioms, Vol 4, Iss 3, Pp 294-312 (2015)
A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a compl
Externí odkaz:
https://doaj.org/article/2161743c437d441ba80d7c1fe243f0b8
Autor:
Karl H. Hofmann, Julio C. Hernández
Publikováno v:
Semigroup Forum. 103:291-294
An elementary proof is given for the fact that every locally compact subsemigroup of a compact topological group is a closed subgroup. A sample consequence is that every commutative cancellative pseudocompact locally compact Hausdorff topological sem
Autor:
Karl H. Hofmann
Publikováno v:
Mathematische Semesterberichte. 67:311-322
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several importan
Autor:
Karl H. Hofmann, Michael W. Mislove
This volume contains survey papers by the invited speakers at the Conference on Semigroup Theory and Its Applications which took place at Tulane University in April, 1994. The authors represent the leading areas of research in semigroup theory and it
Autor:
Jimmie Lawson, Karl H. Hofmann
Publikováno v:
Semigroup Forum. 100:2-8
Publikováno v:
Topology and its Applications. 263:26-43
For any locally compact abelian periodic group A its automorphism group contains as a subgroup those automorphisms that leave invariant every closed subgroup of A, to be denoted by SAut(A). This subgroup is again a locally compact abelian periodic gr