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pro vyhledávání: '"Breen, Benjamin"'
Autor:
Breen, Benjamin
This paper is an extension of the work of Dummit and Voight on modeling the 2-Selmer group of number fields. We extend their model to $S_n$-number fields of even degree and develop heuristics on the difference in the 2-ranks between the class group a
Externí odkaz:
http://arxiv.org/abs/2110.00197
For an abelian number field of odd degree, we study the structure of its 2-Selmer group as a bilinear space and as a Galois module. We prove structural results and make predictions for the distribution of unit signature ranks and narrow class groups
Externí odkaz:
http://arxiv.org/abs/1910.00449
We detail an explicit construction of ordinary irreducible representations for the family of finite groups $SL_2({\mathbb Z} /p^n {\mathbb Z})$ for odd primes $p$ and $n\geq 2$. For $n=2$, the construction is a complete set of irreducible complex rep
Externí odkaz:
http://arxiv.org/abs/1710.02687
Publikováno v:
JP J. Algebra Number Theory Appl. 37(1) (2015), 69-104
This article gives a first look at wild ramification in a family of iterated extensions. For integer values of c, we consider the splitting field of $(x^2 + c)^2 + c$, the second iterate of $x^2 + c$. We give complete information on the factorization
Externí odkaz:
http://arxiv.org/abs/1507.02269
Publikováno v:
Transactions of the American Mathematical Society, Series B. 2/3/2023, Vol. 10, p86-128. 43p.
Autor:
BREEN, BENJAMIN1
Publikováno v:
English Language Notes. Apr2022, Vol. 60 Issue 1, p82-100. 19p.
Publikováno v:
In Water resources and rural development December 2017 10:14-21
Publikováno v:
In Heliyon October 2017 3(10)