@article{44b28e76a27c4498ad24e0f41fcb2529,
title = "Prime to p extensions of the generic abelian crossed product",
abstract = "In this paper we prove that the non-cyclic generic abelian crossed product p-algebras constructed by Amitsur and Saltman in [S.A. Amitsur, D. Saltman, Generic Abelian crossed products and p-algebras, J. Algebra 51 (1) (1978) 76-87] remain non-cyclic after tensoring by any prime to p extension of their centers. We also prove that an example due to Saltman of an indecomposable generic abelian crossed product with exponent p and degree p2 remains indecomposable after any prime to p extension.",
keywords = "Cyclic algebras, Division algebras, Indecomposable division algebras, Valuation theory, p-Algebras",
author = "Kelly McKinnie",
note = "Funding Information: 1 The author is supported by an NSF Postdoctoral Research Fellowship. Funding Information: The work in this paper constitutes part of my doctoral thesis at the University of Texas at Austin. Part of this work was completed while I held a continuing education fellowship from the University of Texas at Austin and a VIGRE graduate research fellowship. I would like to thank my doctoral thesis advisor, Dr. David Saltman, for suggesting the problem to me and for many helpful conversations. I would also like to thank Adrian Wadsworth for reading an earlier draft of this paper and for many valuable suggestions.",
year = "2007",
month = nov,
day = "15",
doi = "10.1016/j.jalgebra.2007.07.018",
language = "English",
volume = "317",
pages = "813--832",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
number = "2",
}