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A Classification of DCI(CI)-Subsets for Cyclic Group of Odd Prime Power Order

✍ Scribed by Qiongxiang Huang; Jixiang Meng

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 175 KB
Volume: 78
Category: Article
ISSN: 0095-8956
DOI: 10.1006/jctb.1999.1924

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✦ Synopsis

Let Z n be a cyclic group of order n and

) implies that S and T are conjugate in Aut(Z n ), the automorphism group of Z n . In this paper, we give a complete classification for DCI-subsets of Z n in the case of n= p a , where p is an odd prime.

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✍ Ian Hughes; Gregor Kemper 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 207 KB

Let V be a representation of a finite group G over a field of characteristic p. If p does not divide the group order, then Molien's formula gives the Hilbert series of the invariant ring. In this paper we find a replacement of Molien's formula which works in the case that G is divisible by p but not