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 J. Mennicke, Jürgen Elstrodt, Dan Segal, Joyce O’Halloran, Joachim Schwermer, Marcus du Sautoy, Boris Kunyavskiı̆, Geoff C. Smith, Eugene Plotkin and Fabrizio Catanese 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

Peers

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

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20 of 20 papers shown

#	Work	Indexed citations
1	From Thompson to Baer–Suzuki: A sharp characterization of the solvable radical 2010 ·Journal of Algebra ·Nikolai Gordeev, Fritz Grunewald, Boris Kunyavskiı̆, Eugene Plotkin	12
2	Genus for groups 2010 ·Journal of Algebra ·Fritz Grunewald, Pavel Zalesskii	14
3	Baer–Suzuki theorem for the solvable radical of a finite group 2009 ·Comptes Rendus Mathématique ·Nikolai Gordeev, Fritz Grunewald, Boris Kunyavskiı̆, Eugene Plotkin	13
4	Pro-$p$ Extensions of Global Fields and pro-$p$ Groups 2007 ·Oberwolfach Reports ·Nigel Boston, John Coates, Fritz Grunewald	2
5	Two-variable identities for finite solvable groups 2003 ·Comptes Rendus Mathématique ·(unknown), Gert–Martin Greuel, Fritz Grunewald, Boris Kunyavskiı̆, Gerhard Pfister, Eugene Plotkin	11
6	On embeddings of SL (2, Z) into quaternion groups 2001 ·Mathematische Zeitschrift ·(unknown), Сергей Иванович Адян, Fritz Grunewald	1
7	A Numerical Study of Eigenvalues of the Hyperbolic Laplacian for Polyhedra with One Cusp 1996 ·Experimental Mathematics ·Fritz Grunewald, (unknown)	3
8	Modules for certain Lie algebras of maximal class 1995 ·Journal of Pure and Applied Algebra ·Dietrich Burde, Fritz Grunewald	38
9	Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces 1990 ·Inventiones mathematicae ·Jürgen Elstrodt, Fritz Grunewald, J. Mennicke	30
10	Varieties of nilpotent Lie algebras of dimension less than six 1988 ·Journal of Algebra ·Fritz Grunewald, Joyce O’Halloran	82
11	A characterization of orbit closure and applications 1988 ·Journal of Algebra ·Fritz Grunewald, Joyce O’Halloran	39
12	Nilpotent groups and unipotent algebraic groups 1985 ·Journal of Pure and Applied Algebra ·Fritz Grunewald, Joyce O’Halloran	5
13	Decision problems concerning S-arithmetic groups 1985 ·Journal of Symbolic Logic ·Fritz Grunewald, Dan Segal	9
14	Free non-abelian quotients of SL2 over orders of imaginary quadratic numberfields 1981 ·Journal of Algebra ·Fritz Grunewald, Joachim Schwermer	28
15	How to solve a quadratic equation in integers 1981 ·Mathematical Proceedings of the Cambridge Philosophical Society ·Fritz Grunewald, Dan Segal	12
16	Some General Algorithms. II: Nilpotent Groups 1980 ·Annals of Mathematics ·Fritz Grunewald, Dan Segal	21
17	A note on finitely generated torsion-free nilpotent groups of class 2 1979 ·Journal of Algebra ·Fritz Grunewald, Rudolf Scharlau	20
18	Groups of exponent eight 1979 ·Bulletin of the Australian Mathematical Society ·Fritz Grunewald, George Havas, (unknown), M. F. Newman	2
19	On polycyclic groups with isomorphic finite quotients 1978 ·Mathematical Proceedings of the Cambridge Philosophical Society ·Fritz Grunewald, Dan Segal	4
20	SL 2 over complex quadratic number fields. I 1978 ·Algebra and Logic ·Fritz Grunewald, (unknown), J. Mennicke	23

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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