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On p-schemes with the same degrees of thin radical and thin residue
- Source :
- Volume: 39, Issue: 1 103-111, Turkish Journal of Mathematics
- Publication Year :
- 2015
- Publisher :
- TÜBİTAK, 2015.
-
Abstract
- Let p and n>1 be a prime number and an integer, respectively. In this paper, first we show that any p-scheme whose thin radical and thin residue are equal is isomorphic to a fission of the wreath product of 2 thin schemes. In addition, we characterize association p-schemes whose thin radical and thin residue each have degree equal to p. We also characterize association p-schemes on pn points whose thin radical and thin residue each have degree equal to pn-1, and whose basis relations each have valency 1 or pn-1. Moreover, we show that such schemes are Schurian.
Details
- Language :
- Turkish
- ISSN :
- 13000098 and 13036149
- Database :
- OpenAIRE
- Journal :
- Volume: 39, Issue: 1 103-111, Turkish Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....ebd3f502bb7515c5d29ab4279191790d