The extraspecial case of the ![]() problem |
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| Authors: | David Gluck Kay Magaard |
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| Institution: | Department of Mathematics, Wayne State University, Detroit, Michigan 48202 ; Department of Mathematics, Wayne State University, Detroit, Michigan 48202 |
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| Abstract: | Let  be an extraspecial-type group and  a faithful, absolutely irreducible ![$kE]$](http://www.ams.org/tran/2002-354-01/S0002-9947-01-02839-2/gif-abstract0/img3.gif) -module, where  is a finite field. Let  be the normalizer in  of  . We show that, with few exceptions, there exists a  such that the restriction of  to  is self-dual whenever  and  . |
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