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 Title: On the nilpotent injectors of the general linear groups Author(s): Sheu, Tsung-Luen Doctoral Committee Chair(s): Rotman, Joseph J. Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Mathematics Abstract: A nilpotent injector in an arbitrary finite group G is defined to be a maximal nilpotent subgroup of G, containing a subgroup H of G of maximal order satisfying class(H) $\leq$ 2. Among other results the nilpotent injectors of GL(n,q) are determined and shown to consist of a unique conjugacy class of subgroups of GL(n,q). It will also be proved that if n $\not=$ 2, then the nilpotent injectors of GL(n,q) are the nilpotent subgroups of maximal order. Issue Date: 1989 Type: Text Language: English URI: http://hdl.handle.net/2142/21252 Rights Information: Copyright 1989 Sheu, Tsung-Luen Date Available in IDEALS: 2011-05-07 Identifier in Online Catalog: AAI9011019 OCLC Identifier: (UMI)AAI9011019
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