Fritz Grunewald

3.3k total citations
95 papers, 1.5k citations indexed

About

Fritz Grunewald is a scholar working on Geometry and Topology, Discrete Mathematics and Combinatorics and Mathematical Physics. According to data from OpenAlex, Fritz Grunewald has authored 95 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 56 papers in Geometry and Topology, 53 papers in Discrete Mathematics and Combinatorics and 42 papers in Mathematical Physics. Recurrent topics in Fritz Grunewald's work include Finite Group Theory Research (52 papers), Advanced Algebra and Geometry (32 papers) and Geometric and Algebraic Topology (30 papers). Fritz Grunewald is often cited by papers focused on Finite Group Theory Research (52 papers), Advanced Algebra and Geometry (32 papers) and Geometric and Algebraic Topology (30 papers). Fritz Grunewald collaborates with scholars based in Germany, Israel and United States. Fritz Grunewald's co-authors include Jürgen Elstrodt, J. Mennicke, Dan Segal, Joyce O’Halloran, Joachim Schwermer, Marcus du Sautoy, Boris Kunyavskiı̆, Geoff C. Smith, Eugene Plotkin and Ingrid Bauer and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Fritz Grunewald

91 papers receiving 1.3k citations

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Fritz Grunewald 1.1k 886 630 517 208 95 1.5k
Bernard Host 560 0.5× 872 1.0× 527 0.8× 276 0.5× 324 1.6× 47 1.2k
Alain Valette 785 0.7× 1.2k 1.3× 180 0.3× 484 0.9× 152 0.7× 69 1.4k
Amitai Regev 1.4k 1.3× 334 0.4× 433 0.7× 1.4k 2.8× 396 1.9× 96 1.7k
Igor Dolgachev 1.4k 1.3× 859 1.0× 280 0.4× 325 0.6× 256 1.2× 58 1.6k
Alexandru Zaharescu 508 0.5× 578 0.7× 258 0.4× 939 1.8× 140 0.7× 269 1.4k
S. A. Amitsur 1.0k 1.0× 337 0.4× 292 0.5× 1.3k 2.5× 382 1.8× 74 1.8k
Efim Zelmanov 721 0.7× 270 0.3× 409 0.6× 719 1.4× 145 0.7× 67 1.1k
B. A. F. Wehrfritz 976 0.9× 592 0.7× 1.4k 2.2× 844 1.6× 188 0.9× 186 2.0k
Andrej Dujella 886 0.8× 598 0.7× 364 0.6× 888 1.7× 220 1.1× 108 1.5k
Rüdiger Göbel 986 0.9× 498 0.6× 193 0.3× 898 1.7× 245 1.2× 139 1.3k

Countries citing papers authored by Fritz Grunewald

Since Specialization
Citations

This map shows the geographic impact of Fritz Grunewald's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Fritz Grunewald with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Fritz Grunewald more than expected).

Fields of papers citing papers by Fritz Grunewald

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Fritz Grunewald. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Fritz Grunewald. The network helps show where Fritz Grunewald may publish in the future.

Co-authorship network of co-authors of Fritz Grunewald

This figure shows the co-authorship network connecting the top 25 collaborators of Fritz Grunewald. A scholar is included among the top collaborators of Fritz Grunewald based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Fritz Grunewald. Fritz Grunewald is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Grunewald, Fritz & Pavel Zalesskii. (2010). Genus for groups. Journal of Algebra. 326(1). 130–168. 14 indexed citations
2.
Gordeev, Nikolai, Fritz Grunewald, Boris Kunyavskiı̆, & Eugene Plotkin. (2010). From Thompson to Baer–Suzuki: A sharp characterization of the solvable radical. Journal of Algebra. 323(10). 2888–2904. 12 indexed citations
3.
Gordeev, Nikolai, Fritz Grunewald, Boris Kunyavskiı̆, & Eugene Plotkin. (2009). Baer–Suzuki theorem for the solvable radical of a finite group. Comptes Rendus Mathématique. 347(5-6). 217–222. 13 indexed citations
4.
Boston, Nigel, John Coates, & Fritz Grunewald. (2007). Pro-$p$ Extensions of Global Fields and pro-$p$ Groups. Oberwolfach Reports. 3(2). 1463–1536. 2 indexed citations
5.
Gordeev, Nikolai, Fritz Grunewald, Boris Kunyavskiı̆, & Eugene Plotkin. (2006). On the number of conjugates defining the solvable radical of a finite group. Comptes Rendus Mathématique. 343(6). 387–392. 6 indexed citations
6.
Grunewald, Fritz & В. П. Платонов. (2004). New properties of lattices in Lie groups. Comptes Rendus Mathématique. 338(4). 271–276. 3 indexed citations
7.
Greuel, Gert–Martin, et al.. (2003). Two-variable identities for finite solvable groups. Comptes Rendus Mathématique. 337(9). 581–586. 11 indexed citations
8.
Адян, Сергей Иванович, et al.. (2001). On embeddings of SL (2, Z) into quaternion groups. Mathematische Zeitschrift. 237(2). 389–400. 1 indexed citations
9.
Grunewald, Fritz & В. П. Платонов. (1999). Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems. Duke Mathematical Journal. 100(2). 11 indexed citations
10.
Burde, Dietrich & Fritz Grunewald. (1995). Modules for certain Lie algebras of maximal class. Journal of Pure and Applied Algebra. 99(3). 239–254. 38 indexed citations
11.
Grunewald, Fritz & Joyce O’Halloran. (1993). Deformations of Lie Algebras. Journal of Algebra. 162(1). 210–224. 17 indexed citations
12.
Grunewald, Fritz & Joyce O’Halloran. (1988). Varieties of nilpotent Lie algebras of dimension less than six. Journal of Algebra. 112(2). 315–325. 82 indexed citations
13.
Grunewald, Fritz & Joyce O’Halloran. (1988). A characterization of orbit closure and applications. Journal of Algebra. 116(1). 163–175. 39 indexed citations
14.
Grunewald, Fritz & Joyce O’Halloran. (1985). Nilpotent groups and unipotent algebraic groups. Journal of Pure and Applied Algebra. 37. 299–313. 5 indexed citations
15.
Grunewald, Fritz & Dan Segal. (1985). Decision problems concerning S-arithmetic groups. Journal of Symbolic Logic. 50(3). 743–772. 9 indexed citations
16.
Grunewald, Fritz & Joachim Schwermer. (1981). Free non-abelian quotients of SL2 over orders of imaginary quadratic numberfields. Journal of Algebra. 69(2). 298–304. 28 indexed citations
17.
Grunewald, Fritz & Dan Segal. (1981). How to solve a quadratic equation in integers. Mathematical Proceedings of the Cambridge Philosophical Society. 89(1). 1–5. 12 indexed citations
18.
Grunewald, Fritz & Rudolf Scharlau. (1979). A note on finitely generated torsion-free nilpotent groups of class 2. Journal of Algebra. 58(1). 162–175. 20 indexed citations
19.
Grunewald, Fritz, et al.. (1979). Groups of exponent eight. Bulletin of the Australian Mathematical Society. 20(1). 7–16. 2 indexed citations
20.
Grunewald, Fritz & Dan Segal. (1978). On polycyclic groups with isomorphic finite quotients. Mathematical Proceedings of the Cambridge Philosophical Society. 84(2). 235–246. 4 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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