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## Plans, Bernat

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 Author ID: plans.bernat Published as: Plans, Bernat External Links: ORCID
 Documents Indexed: 11 Publications since 2003 Reviewing Activity: 19 Reviews

#### Co-Authors

 6 single-authored 3 Vila, Núria 1 Giral, Jose M. 1 Kang, Ming-Chang 1 O’Carroll, Liam 1 Planas-Vilanova, Francesc
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#### Serials

 2 Journal of Algebra 2 Proceedings of the American Mathematical Society 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 IMRN. International Mathematics Research Notices 1 Journal de Théorie des Nombres de Bordeaux 1 Mathematical Research Letters

#### Fields

 11 Field theory and polynomials (12-XX) 7 Number theory (11-XX) 5 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX)

#### Citations contained in zbMATH Open

10 Publications have been cited 48 times in 40 Documents Cited by Year
Reduction theorems for Noether’s problem. Zbl 1177.12006
Kang, Ming-Chang; Plans, Bernat
2009
Galois covers of $$\mathbb P^1$$ over $$\mathbb Q$$ with prescribed local or global behavior by specialization. Zbl 1087.11068
Plans, Bernat; Vila, Núria
2005
On the minimal number of ramified primes in some solvable extensions of $$\mathbb Q$$. Zbl 1064.11072
Plans, Bernat
2004
Noether’s problem for $$\text{GL}(2, 3)$$. Zbl 1146.12004
Plans, Bernat
2007
Tame $$A_{n}$$-extensions of $${\mathbb Q}$$. Zbl 1057.12003
Plans, Bernat; Vila, Núria
2003
On Noether’s rationality problem for cyclic groups over $$\mathbb {Q}$$. Zbl 1397.12003
Plans, Bernat
2017
On Noether’s problem for central extensions of symmetric and alternating groups. Zbl 1177.12007
Plans, Bernat
2009
Trinomial extensions of $$\mathbb Q$$ with ramification conditions. Zbl 1048.11086
Plans, Bernat; Vila, Núria
2004
Central embedding problems, the arithmetic lifting property, and tame extensions of $$\mathbb{Q}$$. Zbl 1044.12004
Plans, Bernat
2003
Generic Galois extensions for SL$$_2(\mathbb F_5)$$ over $$\mathbb Q$$. Zbl 1128.12006
Plans, Bernat
2007
On Noether’s rationality problem for cyclic groups over $$\mathbb {Q}$$. Zbl 1397.12003
Plans, Bernat
2017
Reduction theorems for Noether’s problem. Zbl 1177.12006
Kang, Ming-Chang; Plans, Bernat
2009
On Noether’s problem for central extensions of symmetric and alternating groups. Zbl 1177.12007
Plans, Bernat
2009
Noether’s problem for $$\text{GL}(2, 3)$$. Zbl 1146.12004
Plans, Bernat
2007
Generic Galois extensions for SL$$_2(\mathbb F_5)$$ over $$\mathbb Q$$. Zbl 1128.12006
Plans, Bernat
2007
Galois covers of $$\mathbb P^1$$ over $$\mathbb Q$$ with prescribed local or global behavior by specialization. Zbl 1087.11068
Plans, Bernat; Vila, Núria
2005
On the minimal number of ramified primes in some solvable extensions of $$\mathbb Q$$. Zbl 1064.11072
Plans, Bernat
2004
Trinomial extensions of $$\mathbb Q$$ with ramification conditions. Zbl 1048.11086
Plans, Bernat; Vila, Núria
2004
Tame $$A_{n}$$-extensions of $${\mathbb Q}$$. Zbl 1057.12003
Plans, Bernat; Vila, Núria
2003
Central embedding problems, the arithmetic lifting property, and tame extensions of $$\mathbb{Q}$$. Zbl 1044.12004
Plans, Bernat
2003
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#### Cited by 34 Authors

 12 Kang, Ming-Chang 5 Plans, Bernat 5 Zhou, Jian 4 Hoshi, Akinari 4 Wang, Baoshan 3 König, Joachim 3 Neftin, Danny 3 Vila, Núria 3 Yamasaki, Aiichi 2 Chu, Huah 2 Michailov, Ivo Michailov 1 Arias-de-Reyna, Sara 1 Bary-Soroker, Lior 1 Ben-Shimol, Oz 1 Bensebaa, Boualem 1 Dèbes, Pierre 1 Fu, Hang 1 Ghazi, Nour 1 Hu, Shou-Jen 1 Huang, Shang 1 Kim, Kwang-Seob 1 Kitayama, Hidetaka 1 Legrand, François 1 Movahhedi, Abbas 1 Pollak, Benjamin 1 Prokhorov, Yuriĭ Gennad’evich 1 Roberts, David Peter 1 Salinier, Alain 1 Schlank, Tomer M. 1 Schoof, René 1 Shparlinski, Igor E. 1 Sodaïgui, Bouchaïb 1 Sonn, Jack 1 Yu, Chia-Fu
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#### Cited in 20 Serials

 11 Journal of Algebra 6 Journal of Number Theory 3 Advances in Mathematics 2 Proceedings of the American Mathematical Society 2 Journal de Théorie des Nombres de Bordeaux 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Glasgow Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Proceedings of the Japan Academy. Series A 1 Algebra Colloquium 1 Transformation Groups 1 Acta Mathematica Sinica. English Series 1 Journal of the Institute of Mathematics of Jussieu 1 Algebra & Number Theory 1 Kyoto Journal of Mathematics
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#### Cited in 6 Fields

 26 Number theory (11-XX) 25 Field theory and polynomials (12-XX) 19 Algebraic geometry (14-XX) 17 Commutative algebra (13-XX) 6 Group theory and generalizations (20-XX) 2 Associative rings and algebras (16-XX)