The number of homomorphisms from a finite abelian group to a symmetric group |
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| Authors: | Hidenori Katsurada Yugen Takegahara Tomoyuki Yoshida |
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| Affiliation: | 1. Muroran Institute of Technology , 27-1 Mizumoto, Muroran, 050, Japan;2. Department of Mathematics , Hokkaido University , Sapporo, 060, Japan |
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| Abstract: | ABSTRACT We present an algorithm to construct the automorphism group of a finite p-group. The method works down the lower exponent-p central series of the group. The central difficulty in each inductive step is a stabiliser computation; we introduce various approaches designed to simplify this computation. |
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