Peter A. Linnell

1.3k total citations
48 papers, 510 citations indexed

About

Peter A. Linnell is a scholar working on Geometry and Topology, Algebra and Number Theory and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Peter A. Linnell has authored 48 papers receiving a total of 510 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 24 papers in Algebra and Number Theory and 21 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Peter A. Linnell's work include Finite Group Theory Research (20 papers), Rings, Modules, and Algebras (19 papers) and Geometric and Algebraic Topology (17 papers). Peter A. Linnell is often cited by papers focused on Finite Group Theory Research (20 papers), Rings, Modules, and Algebras (19 papers) and Geometric and Algebraic Topology (17 papers). Peter A. Linnell collaborates with scholars based in United States, United Kingdom and Germany. Peter A. Linnell's co-authors include Thomas Schick, Peter H. Kropholler, Beno Eckmann, Jonathan A. Hillman, Andrzej Żuk, Rostislav Grigorchuk, Józef Dodziuk, Varghese Mathai, F. T. Farrell and K. W. Gruenberg and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Journal of Functional Analysis and Pacific Journal of Mathematics.

In The Last Decade

Peter A. Linnell

47 papers receiving 416 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Peter A. Linnell United States	12	370	334	145	121	111	48	510
Piotr Pragacz Poland	15	488 1.3×	330 1.0×	334 2.3×	216 1.8×	91 0.8×	48	639
Dino Lorenzini United States	14	436 1.2×	191 0.6×	113 0.8×	134 1.1×	213 1.9×	35	512
Alain Robert Switzerland	6	190 0.5×	243 0.7×	60 0.4×	163 1.3×	75 0.7×	13	403
Laurent Bartholdi Germany	11	294 0.8×	264 0.8×	89 0.6×	64 0.5×	171 1.5×	41	409
W. Wickless United States	14	287 0.8×	148 0.4×	83 0.6×	422 3.5×	149 1.3×	52	591
David Mond United Kingdom	14	422 1.1×	277 0.8×	63 0.4×	129 1.1×	85 0.8×	37	562
Martin A. Roller United Kingdom	7	664 1.8×	592 1.8×	152 1.0×	86 0.7×	158 1.4×	9	810
A. Leibman United States	14	413 1.1×	355 1.1×	561 3.9×	236 2.0×	110 1.0×	34	684
Torsten Ekedahl Sweden	10	372 1.0×	241 0.7×	116 0.8×	128 1.1×	81 0.7×	24	439
Emmanuel Breuillard France	14	361 1.0×	322 1.0×	222 1.5×	80 0.7×	106 1.0×	34	555

Countries citing papers authored by Peter A. Linnell

Since Specialization

Citations

This map shows the geographic impact of Peter A. Linnell'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 Peter A. Linnell with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter A. Linnell more than expected).

Fields of papers citing papers by Peter A. Linnell

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter A. Linnell. 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 Peter A. Linnell. The network helps show where Peter A. Linnell may publish in the future.

Co-authorship network of co-authors of Peter A. Linnell

This figure shows the co-authorship network connecting the top 25 collaborators of Peter A. Linnell. A scholar is included among the top collaborators of Peter A. Linnell 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 Peter A. Linnell. Peter A. Linnell 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

Linnell, Peter A., et al.. (2017). On the Center-Valued Atiyah Conjecture for $L^2$-Betti Numbers. Documenta Mathematica. 22. 659–677. 1 indexed citations

Athreya, Jayadev S., Marc Bourdon, Gerhard Knieper, et al.. (2016). Geometry, Topology, and Dynamics in Negative Curvature. Cambridge University Press eBooks. 2 indexed citations

Dicks, Warren & Peter A. Linnell. (2010). On the Local-indicability Cohen-Lyndon Theorem. 1 indexed citations

Linnell, Peter A., Wolfgang Lück, & Roman Sauer. (2010). The limit of $\mathbb{F}_{p}$-Betti numbers of a tower of finite covers with amenable fundamental groups. Proceedings of the American Mathematical Society. 139(2). 421–421. 9 indexed citations

Dicks, Warren, et al.. (2009). Non-orientable surface-plus-one-relation groups. Journal of Algebra. 326(1). 4–33. 3 indexed citations

Gruenberg, K. W. & Peter A. Linnell. (2008). Generation gaps and abelianized defects of free products. Journal of Group Theory. 11(5). 3 indexed citations

Linnell, Peter A., A. H. Rhemtulla, & Dale Rolfsen. (2008). Invariant group orderings and Galois conjugates. Journal of Algebra. 319(12). 4891–4898. 6 indexed citations

Linnell, Peter A., et al.. (2006). Idempotent ideals and nonfinitely generated projective modules over integral group rings of polycyclic-by-finite groups. Journal of Algebra. 305(2). 845–858. 1 indexed citations

Linnell, Peter A.. (2000). A Rationality Criterion for Unbounded Operators. Journal of Functional Analysis. 171(1). 115–123. 5 indexed citations

10.

Grigorchuk, Rostislav, Peter A. Linnell, Thomas Schick, & Andrzej Żuk. (2000). On a question of Atiyah. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 331(9). 663–668. 43 indexed citations

11.

Linnell, Peter A.. (1992). Cohomology of Finite Groups. VTechWorks (Virginia Tech). 2 indexed citations

12.

Linnell, Peter A.. (1991). Zero divisors and group von Neumann algebras. Pacific Journal of Mathematics. 149(2). 349–363. 27 indexed citations

13.

Brandl, Rolf & Peter A. Linnell. (1989). Character degrees and CLT-groups. Bulletin of the Australian Mathematical Society. 39(2). 249–254. 4 indexed citations

14.

Crawley-Boevey, William, et al.. (1988). Torsion-free soluble groups, completions, and the zero divisor conjecture. Journal of Pure and Applied Algebra. 54(2-3). 181–196. 7 indexed citations

15.

Linnell, Peter A.. (1987). Cohomology of finite soluble groups. Journal of Algebra. 107(1). 53–62. 5 indexed citations

16.

Linnell, Peter A.. (1983). On accessibility of groups. Journal of Pure and Applied Algebra. 30(1). 39–46. 18 indexed citations

17.

Linnell, Peter A.. (1983). Indecomposability of the augmentation ideal as a two-sided ideal. Journal of Algebra. 82(2). 328–330.

18.

Linnell, Peter A.. (1982). Nonfree Projective Modules for Integral Group Rings. Bulletin of the London Mathematical Society. 14(2). 124–126. 6 indexed citations

19.

Linnell, Peter A.. (1981). Relation modules and augmentation ideals of finite groups. Journal of Pure and Applied Algebra. 22(2). 143–164. 5 indexed citations

20.

Linnell, Peter A.. (1977). Zero divisors and idempotents in group rings. Mathematical Proceedings of the Cambridge Philosophical Society. 81(3). 365–368. 6 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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