Edit Profile (opens in new tab) Rio, Anna Co-Author Distance Author ID: rio.anna Published as: Rio, Anna; Rio, A.; Río, A. more...less External Links: MGP Documents Indexed: 28 Publications since 1995, including 2 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 15 Co-Authors with 28 Joint Publications 119 Co-Co-Authors all top 5 Co-Authors 2 single-authored 10 Crespo Vicente, Teresa 10 Vela, Montserrat 6 Gil-Muñoz, Daniel 6 Miret, Josep M. 5 Lario, Joan-Carles 4 Moreno, Ramiro 3 Bayer Isant, Pilar 3 Pujolàs, Jordi 2 Alsina, Montserrat 2 Fernandez, Julio 2 Travesa, Artur 2 Valls, Magda 1 Cardona, Gabriel 1 Garzón, Antonio R. 1 Gonzalez Rovira, Josep all top 5 Serials 3 Journal of Algebra 3 Publicacions Matemàtiques 2 Communications in Algebra 2 Mathematics of Computation 2 Journal of Pure and Applied Algebra 2 Col\(\cdot\)lecció Homenatges 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Proceedings of the Japan Academy. Series A 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Applied Categorical Structures 1 Finite Fields and their Applications 1 The New York Journal of Mathematics 1 Mathematical Research Letters 1 Advances in Mathematics of Communications all top 5 Fields 19 Number theory (11-XX) 12 Associative rings and algebras (16-XX) 10 Field theory and polynomials (12-XX) 10 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 3 Commutative algebra (13-XX) 2 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 109 times in 80 Documents Cited by ▼ Year ▼ On the Galois correspondence theorem in separable Hopf Galois theory. Zbl 1331.12009 Crespo, Teresa; Rio, Anna; Vela, Montserrat 12 2016 Induced Hopf Galois structures. Zbl 1408.16024 Crespo, Teresa; Rio, Anna; Vela, Montserrat 11 2016 Dyadic exercises for octahedral extensions. Zbl 0941.12001 Bayer, Pilar; Rio, Anna 10 1999 Determining the \(2\)-Sylow subgroup of an elliptic curve over a finite field. Zbl 1084.11032 Miret, J.; Moreno, R.; Rio, A.; Valls, M. 10 2005 On curves of genus 2 with Jacobian of \(\text{GL}_2\)-type. Zbl 0998.11032 Cardona, G.; González, J.; Lario, J. C.; Rio, A. 9 1999 Dyadic exercises for octahedral extensions. II. Zbl 1149.11053 Rio, Anna 7 2006 Computing the \(\ell \)-power torsion of an elliptic curve over a finite field. Zbl 1215.11062 Miret, J.; Moreno, R.; Rio, A.; Valls, M. 7 2009 Bisection for genus 2 curves in odd characteristic. Zbl 1213.11130 Miret, Josep M.; Pujolàs, Jordi; Rio, Anna 6 2009 An octahedral-elliptic type equality in \(\text{Br}_ 2(k)\). Zbl 0837.11061 Lario, Joan-C.; Rio, Anna 5 1995 Elliptic modularity for octahedral Galois representations. Zbl 0870.11035 Lario, Joan-C.; Rio, Anna 4 1996 Halving for the 2-Sylow subgroup of genus 2 curves over binary fields. Zbl 1219.11096 Miret, J. M.; Moreno, R.; Pujolàs, J.; Rio, A. 3 2009 Octahedral Galois representations arising from \(\mathbb{Q}\)-curves of degree 2. Zbl 1044.11042 Fernández, J.; Lario, J.-C.; Rio, A. 3 2002 Non-isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras. Zbl 1319.16025 Crespo, Teresa; Rio, Anna; Vela, Montserrat 3 2015 Explicit 2-power torsion of genus 2 curves over finite fields. Zbl 1225.11086 Miret, Josep M.; Pujolàs, Jordi; Rio, Anna 3 2010 The Hopf Galois property in subfield lattices. Zbl 1350.12001 Crespo, Teresa; Rio, Anna; Vela, Montserrat 3 2016 Hopf Galois structures on symmetric and alternating extensions. Zbl 1467.12007 Crespo, Teresa; Rio, Anna; Vela, Montserrat 3 2018 Generalization of Vélu’s formulae for isogenies between elliptic curves. Zbl 1183.11031 Miret, Josep M.; Moreno, Ramiro; Rio, Anna 2 2007 On twists of the modular curves \(X(p)\). Zbl 1084.11025 Fernández, Julio; Lario, Joan-C.; Rio, Anna 2 2005 From Galois to Hopf Galois: theory and practice. Zbl 1355.12001 Crespo, Teresa; Rio, Anna; Vela, Montserrat 2 2015 Induced Hopf Galois structures and their local Hopf Galois modules. Zbl 1492.11151 Gil-Muñoz, Daniel; Rio, Anna 2 2022 Equivariant extensions of categorical groups. Zbl 1072.18007 Garzón, A. R.; Río, A. 1 2005 Left braces of size \(8p\). Zbl 1511.16028 Crespo, Teresa; Gil-Muñoz, Daniel; Rio, Anna; Vela, Montserrat 1 2023 Left braces of size \(8p\). Zbl 1511.16028 Crespo, Teresa; Gil-Muñoz, Daniel; Rio, Anna; Vela, Montserrat 1 2023 Induced Hopf Galois structures and their local Hopf Galois modules. Zbl 1492.11151 Gil-Muñoz, Daniel; Rio, Anna 2 2022 Hopf Galois structures on symmetric and alternating extensions. Zbl 1467.12007 Crespo, Teresa; Rio, Anna; Vela, Montserrat 3 2018 On the Galois correspondence theorem in separable Hopf Galois theory. Zbl 1331.12009 Crespo, Teresa; Rio, Anna; Vela, Montserrat 12 2016 Induced Hopf Galois structures. Zbl 1408.16024 Crespo, Teresa; Rio, Anna; Vela, Montserrat 11 2016 The Hopf Galois property in subfield lattices. Zbl 1350.12001 Crespo, Teresa; Rio, Anna; Vela, Montserrat 3 2016 Non-isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras. Zbl 1319.16025 Crespo, Teresa; Rio, Anna; Vela, Montserrat 3 2015 From Galois to Hopf Galois: theory and practice. Zbl 1355.12001 Crespo, Teresa; Rio, Anna; Vela, Montserrat 2 2015 Explicit 2-power torsion of genus 2 curves over finite fields. Zbl 1225.11086 Miret, Josep M.; Pujolàs, Jordi; Rio, Anna 3 2010 Computing the \(\ell \)-power torsion of an elliptic curve over a finite field. Zbl 1215.11062 Miret, J.; Moreno, R.; Rio, A.; Valls, M. 7 2009 Bisection for genus 2 curves in odd characteristic. Zbl 1213.11130 Miret, Josep M.; Pujolàs, Jordi; Rio, Anna 6 2009 Halving for the 2-Sylow subgroup of genus 2 curves over binary fields. Zbl 1219.11096 Miret, J. M.; Moreno, R.; Pujolàs, J.; Rio, A. 3 2009 Generalization of Vélu’s formulae for isogenies between elliptic curves. Zbl 1183.11031 Miret, Josep M.; Moreno, Ramiro; Rio, Anna 2 2007 Dyadic exercises for octahedral extensions. II. Zbl 1149.11053 Rio, Anna 7 2006 Determining the \(2\)-Sylow subgroup of an elliptic curve over a finite field. Zbl 1084.11032 Miret, J.; Moreno, R.; Rio, A.; Valls, M. 10 2005 On twists of the modular curves \(X(p)\). Zbl 1084.11025 Fernández, Julio; Lario, Joan-C.; Rio, Anna 2 2005 Equivariant extensions of categorical groups. Zbl 1072.18007 Garzón, A. R.; Río, A. 1 2005 Octahedral Galois representations arising from \(\mathbb{Q}\)-curves of degree 2. Zbl 1044.11042 Fernández, J.; Lario, J.-C.; Rio, A. 3 2002 Dyadic exercises for octahedral extensions. Zbl 0941.12001 Bayer, Pilar; Rio, Anna 10 1999 On curves of genus 2 with Jacobian of \(\text{GL}_2\)-type. Zbl 0998.11032 Cardona, G.; González, J.; Lario, J. C.; Rio, A. 9 1999 Elliptic modularity for octahedral Galois representations. Zbl 0870.11035 Lario, Joan-C.; Rio, Anna 4 1996 An octahedral-elliptic type equality in \(\text{Br}_ 2(k)\). Zbl 0837.11061 Lario, Joan-C.; Rio, Anna 5 1995 all cited Publications top 5 cited Publications all top 5 Cited by 94 Authors 11 Miret, Josep M. 10 Rio, Anna 8 Pujolàs, Jordi 6 Crespo Vicente, Teresa 6 Thériault, Nicolas 5 Gil-Muñoz, Daniel 5 Truman, Paul J. 4 Koch, Alan 4 Moreno, Ramiro 4 Vela, Montserrat 3 Byott, Nigel P. 3 Fernandez, Julio 3 Kohl, Timothy 3 Riquelme, Edgardo 3 Roberts, David Peter 3 Sadornil, Daniel 3 Valera, Javier 3 Valls, Magda 2 Alabdali, Ali A. 2 Banerjee, Debargha 2 Caranti, Andrea 2 Cardona, Gabriel 2 Childs, Lindsay N. 2 Jones, John William 2 Lario, Joan-Carles 2 Mandal, Tathagata 2 Pacetti, Ariel 2 Stefanello, Lorenzo 2 Sutherland, Andrew V. 2 Tena Ayuso, Juan Gabriel 2 Underwood, Robert G. 1 Adamus, Elżbieta 1 Ahmadi, Omran 1 Artebani, Michela 1 Calegari, Frank 1 Campedel, Elena 1 Česnavičius, Kęstutis 1 Cheltsov, Ivan Anatol’evich 1 Chidambaram, Shiva 1 Chow, Rudolf 1 De Feo, Luca 1 Dèbes, Pierre 1 Del Corso, Ilaria 1 Dieulefait, Luis Victor 1 Ezome, Tony 1 Fité, Francesc 1 Fouazou Lontouo, Perez Broon 1 Fouotsa, Emmanuel 1 Fouquet, Mireille 1 Garra, Ricard 1 González-Jiménez, Enrique 1 Gonzalez Rovira, Josep 1 Granger, Robert A. 1 Greither, Cornelius 1 Hajto, Zbigniew 1 Hanh, Dang Dinh 1 Harbater, David 1 Hu, Honggang 1 Hugounenq, Cyril 1 Jarvis, Frazer 1 Kida, Masanari 1 Koziarz, Vincent 1 Laface, Antonio 1 Lemmermeyer, Franz Josef 1 Lennon, Catherine 1 Li, Songsong 1 Lia, Stefano 1 Loeffler, David 1 Louboutin, Stéphane R. 1 Martin-Lyons, Isabel 1 Naito, Hirotada 1 Neururer, Michael O. 1 Okazaki, Ryotaro 1 Ouyang, Yi 1 Plût, Jérôme 1 Quang, Nguyen Tien 1 Quer, Jordi 1 Rito, Carlos 1 Roulleau, Xavier 1 Salguero, Marta 1 Schost, Éric 1 Tarakanov, V. E. 1 Tena, Juan 1 Testa, Damiano 1 Tieudjo, Daniel 1 Timpanella, Marco 1 Trappeniers, Senne 1 Tsaknias, Panagiotis 1 Tsang, Cindy 1 Tsyganov, Andreĭ Vladimirovich 1 van Bommel, Raymond 1 Wang, Bei 1 Weinstein, Jared 1 Yamauchi, Takuya all top 5 Cited in 37 Serials 11 Journal of Algebra 7 Mathematics of Computation 5 Journal of Number Theory 5 Journal of Pure and Applied Algebra 4 Finite Fields and their Applications 3 Proceedings of the Japan Academy. Series A 3 Journal de Théorie des Nombres de Bordeaux 3 Journal of Algebra and its Applications 2 Communications in Algebra 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Proceedings of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 Publicacions Matemàtiques 2 Applicable Algebra in Engineering, Communication and Computing 2 Journal of the European Mathematical Society (JEMS) 2 Advances in Mathematics of Communications 1 Mathematical Notes 1 Journal of Geometry and Physics 1 Bulletin of the London Mathematical Society 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Note di Matematica 1 Journal of Symbolic Computation 1 SIAM Journal on Discrete Mathematics 1 International Journal of Algebra and Computation 1 International Journal of Computer Mathematics 1 The Ramanujan Journal 1 LMS Journal of Computation and Mathematics 1 Central European Journal of Mathematics 1 Journal of Homotopy and Related Structures 1 Arnold Mathematical Journal 1 Proceedings of the American Mathematical Society. Series B all top 5 Cited in 13 Fields 50 Number theory (11-XX) 33 Algebraic geometry (14-XX) 25 Associative rings and algebras (16-XX) 23 Field theory and polynomials (12-XX) 13 Group theory and generalizations (20-XX) 3 Information and communication theory, circuits (94-XX) 2 Topological groups, Lie groups (22-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Citations by Year