Herbert Abels

982 total citations
40 papers, 455 citations indexed

About

Herbert Abels is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Herbert Abels has authored 40 papers receiving a total of 455 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Mathematical Physics, 21 papers in Geometry and Topology and 13 papers in Algebra and Number Theory. Recurrent topics in Herbert Abels's work include Advanced Topics in Algebra (12 papers), Advanced Algebra and Geometry (11 papers) and Homotopy and Cohomology in Algebraic Topology (10 papers). Herbert Abels is often cited by papers focused on Advanced Topics in Algebra (12 papers), Advanced Algebra and Geometry (11 papers) and Homotopy and Cohomology in Algebraic Topology (10 papers). Herbert Abels collaborates with scholars based in Germany, United States and Israel. Herbert Abels's co-authors include G. A. Margulis, Kenneth S. Brown, É. B. Vinberg, Peter Abramenko and Andreas Dress and has published in prestigious journals such as Lecture notes in mathematics, Advances in Mathematics and Journal of Differential Geometry.

In The Last Decade

Herbert Abels

37 papers receiving 386 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Herbert Abels Germany 12 348 299 116 81 58 40 455
Boju Jiang China 12 319 0.9× 319 1.1× 50 0.4× 62 0.8× 29 0.5× 28 398
George A. Willis Australia 14 546 1.6× 321 1.1× 266 2.3× 129 1.6× 109 1.9× 66 656
Matthew G. Brin United States 11 272 0.8× 317 1.1× 44 0.4× 122 1.5× 37 0.6× 24 401
J. B. Wagoner United States 13 395 1.1× 289 1.0× 149 1.3× 22 0.3× 42 0.7× 35 491
Manuel Ojanguren Switzerland 12 296 0.9× 485 1.6× 299 2.6× 82 1.0× 20 0.3× 41 576
W. Sinnott United States 9 230 0.7× 370 1.2× 181 1.6× 59 0.7× 43 0.7× 14 432
R. Sridharan India 14 238 0.7× 465 1.6× 416 3.6× 64 0.8× 42 0.7× 57 590
Ted Chinburg United States 14 410 1.2× 512 1.7× 147 1.3× 103 1.3× 49 0.8× 77 576
I. Luengo Spain 11 168 0.5× 283 0.9× 99 0.9× 52 0.6× 42 0.7× 45 330
Willem Veys Belgium 11 190 0.5× 279 0.9× 149 1.3× 63 0.8× 73 1.3× 47 337

Countries citing papers authored by Herbert Abels

Since Specialization
Citations

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

Fields of papers citing papers by Herbert Abels

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Herbert Abels. 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 Herbert Abels. The network helps show where Herbert Abels may publish in the future.

Co-authorship network of co-authors of Herbert Abels

This figure shows the co-authorship network connecting the top 25 collaborators of Herbert Abels. A scholar is included among the top collaborators of Herbert Abels 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 Herbert Abels. Herbert Abels 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.
Abels, Herbert, et al.. (2023). The Frattini subgroup of a Lie group and the topological rank of a Lie group. Journal of Algebra. 640. 326–367.
2.
Abels, Herbert, et al.. (2011). Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices. Advances in Mathematics. 229(3). 1862–1872. 10 indexed citations
3.
Abels, Herbert & É. B. Vinberg. (2010). Generating semisimple groups by tori. Journal of Algebra. 328(1). 114–121. 5 indexed citations
4.
Abels, Herbert. (1998). A projection property for buildings. Discrete Mathematics. 192(1-3). 3–10. 1 indexed citations
5.
Abels, Herbert, et al.. (1997). Properly discontinuous groups of affine transformations with orthogonal linear part. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 324(3). 253–258. 27 indexed citations
6.
Abels, Herbert, et al.. (1995). Semigroups containing proximal linear maps. Israel Journal of Mathematics. 91(1-3). 1–30. 50 indexed citations
7.
Abels, Herbert, et al.. (1993). Higher Generation by Subgroups. Journal of Algebra. 160(2). 310–341. 11 indexed citations
8.
Abels, Herbert & Peter Abramenko. (1993). On the Homotopy Type of Subcomplexes of Tits Buildings. Advances in Mathematics. 101(1). 78–86. 6 indexed citations
9.
Abels, Herbert. (1991). The gallery distance of flags. Order. 8(1). 77–92. 10 indexed citations
10.
Abels, Herbert. (1991). Finiteness properties of certain arithmetic groups in the function field case. Israel Journal of Mathematics. 76(1-2). 113–128. 15 indexed citations
11.
Abels, Herbert & Kenneth S. Brown. (1987). Finiteness properties of solvable S-arithmetic groups: An example. Journal of Pure and Applied Algebra. 44(1-3). 77–83. 12 indexed citations
12.
Abels, Herbert. (1987). Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups. Lecture notes in mathematics. 29 indexed citations
13.
Abels, Herbert. (1982). Some Topological Aspects of Proper Group Actions; Non-Compact Dimension of Groups. Journal of the London Mathematical Society. s2-25(3). 525–538. 4 indexed citations
14.
Abels, Herbert, et al.. (1981). Homogeneous factors of Riemannian manifolds. Journal of Differential Geometry. 16(1). 2 indexed citations
15.
Abels, Herbert. (1978). Distal affine transformation groups.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1978(299-300). 294–300. 10 indexed citations
16.
Abels, Herbert. (1978). A universal properG-space. Mathematische Zeitschrift. 159(2). 143–158. 40 indexed citations
17.
Abels, Herbert. (1977). On a problem of Freudenthal's. Compositio Mathematica. 35(1). 39–47. 4 indexed citations
18.
Abels, Herbert, et al.. (1976). A characterization of the sphere and euclidean space by transformation groups. Mathematische Zeitschrift. 146(2). 137–142. 1 indexed citations
19.
Abels, Herbert. (1972). Kompakt definierbare topologische Gruppen. Mathematische Annalen. 197(3). 221–233. 9 indexed citations
20.
Abels, Herbert. (1968). �ber die Erzeugung von eigentlichen Transformationsgruppen. Mathematische Zeitschrift. 103(5). 333–357. 10 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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