Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Sunil K. Chebolu"'
Autor:
Sunil K. Chebolu
Publikováno v:
Math Horizons. 29:20-22
How did we get the seven days in a week? A short answer to this ostensibly mundane question is that they came from the seven classical planets. A long (and correct!) answer is a scientific story, o...
Autor:
Sunil K. Chebolu, Keir Lockridge
In an earlier paper, we determined the finite fields with indecomposable multiplicative groups and conjectured that there is no infinite field whose multiplicative group is indecomposable. In this paper, we prove this conjecture for several popular c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::575b1c129d3d5ffe3c684a4b9922a269
Autor:
Sunil K. Chebolu, Keir Lockridge
Publikováno v:
Journal of Pure and Applied Algebra. 223:4652-4666
Which groups can be the group of units in a ring? This open question, posed by L\'{a}szl\'{o} Fuchs in 1960, has been studied by the authors and others with a variety of restrictions on either the class of groups or the class of rings under considera
Autor:
Sunil K. Chebolu
Using ideas of sphere packing problem we estimate the number of solid moons that can be packed inside the Earth, assuming that both the Moon and the Earth are perfect sphere.
3 pages, 6 figures
3 pages, 6 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c75c9b9cba9ed820ba53deb2949b6a9e
http://arxiv.org/abs/2006.00603
http://arxiv.org/abs/2006.00603
Publikováno v:
Expositiones Mathematicae. 35:300-314
The year 2017 marks the 80th anniversary of Witt’s famous paper containing key results, including the Witt cancellation theorem, which form the foundation for the algebraic theory of quadratic forms. We pay homage to this paper by presenting a tran
Publikováno v:
Canadian Mathematical Bulletin. 59:682-692
Suppose that G is a finite group and k is a field of characteristic p > 0. A ghost map is a map in the stable category of finitely generated kG-modules which induces the zero map in Tate cohomology in all degrees. In an earlier paper we showed that t
Autor:
Sunil K. Chebolu
Following a technique of Galileo we compute the height on a mountain on the Moon. It is based on a simple observation that precisely on a half Moon day, the Earth, the Moon, and the Sun form the vertices of a right triangle with the Moon at the 90 de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28828a70ff0a0fa8954a3892ed31cc08
Autor:
Keir Lockridge, Sunil K. Chebolu
Publikováno v:
Expositiones Mathematicae. 34:237-242
We classify all finite fields and all infinite fields of characteristic not equal to 2 whose multiplicative groups are direct-sum indecomposable. For finite fields, we obtain our classification using a direct argument and also as a corollary to Catal
Autor:
Keir Lockridge, Sunil K. Chebolu
Publikováno v:
Journal of Algebra. 438:325-336
More than 50 years ago, Laszlo Fuchs asked which abelian groups can be the group of units of a commutative ring. Though progress has been made, the question remains open. We provide an answer to this question in the case of indecomposable abelian gro
Publikováno v:
Finite Fields and Their Applications. 35:330-351
We give several characterizations of Mersenne primes (Theorem 1.1) and of primes for which 2 is a primitive root (Theorem 1.2). These characterizations involve group algebras, circulant matrices, binomial coefficients, and bipartite graphs.
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