Relation modules of finite groups
著者
書誌事項
Relation modules of finite groups
(Regional conference series in mathematics, no. 25)
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1976
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注記
"Expository lectures from the CBMS regional conference held at the University of Wisconsin-Parkside, July 22-26, 1974."--T.p. verso
Includes bibliographical references (p. 77-79) and index
内容説明・目次
内容説明
This book reproduces a course of ten lectures given by the author, Karl W. Gruenberg, at the NSF Regional Conference at the University of Wisconsin-Parkside in July 1974. The aim of the lectures was twofold: to show group theorists how the presentation theory of finite groups can nowadays be successfully approached with the help of integral representation theory, and to persuade ring theorists that here was an area of group theory well suited to applications of integral representation theory. The course was constructed so that only a modicum of either group theory or module theory would be presupposed of the audience. He has also drawn on lectures that he gave at the Australian Summer Research Institute held at the University of Sydney in 1971 and at the Australian National University at Canberra in 1974.
目次
Introduction The Gaschutz theory Module theoretic preliminaries Projective modules Relation cores The presentation rank Swan modules Heller modules Decomposition of relation cores Epilogue References Explanation of, and index to, some notation and terminology.
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