A. Karrass

3.1k total citations · 2 hit papers
29 papers, 2.1k citations indexed

About

A. Karrass is a scholar working on Geometry and Topology, Discrete Mathematics and Combinatorics and Mathematical Physics. According to data from OpenAlex, A. Karrass has authored 29 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Geometry and Topology, 15 papers in Discrete Mathematics and Combinatorics and 6 papers in Mathematical Physics. Recurrent topics in A. Karrass's work include Geometric and Algebraic Topology (16 papers), Finite Group Theory Research (14 papers) and Advanced Topology and Set Theory (4 papers). A. Karrass is often cited by papers focused on Geometric and Algebraic Topology (16 papers), Finite Group Theory Research (14 papers) and Advanced Topology and Set Theory (4 papers). A. Karrass collaborates with scholars based in Canada, United Kingdom and United States. A. Karrass's co-authors include D. Solitar, Wilhelm Magnus, P. M. Cohn, R. G. Burns and Gilbert Baumslag and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

A. Karrass

29 papers receiving 1.6k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Combinatorial Group Theory.

1967 948 citations A. Karrass, D. Solitar et al. profile →
Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations

1966 540 citations A. Karrass, D. Solitar et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. Karrass Canada	14	1.6k	917	734	637	298	29	2.1k
D. Solitar Canada	15	1.7k 1.1×	1.0k 1.1×	818 1.1×	703 1.1×	329 1.1×	35	2.4k
Gilbert Baumslag United States	27	1.8k 1.1×	1.0k 1.1×	1.0k 1.4×	808 1.3×	452 1.5×	141	2.5k
Ralph H. Fox United States	15	1.2k 0.7×	725 0.8×	426 0.6×	389 0.6×	210 0.7×	35	1.6k
John R. Stallings United States	19	1.6k 1.0×	1.2k 1.3×	387 0.5×	584 0.9×	229 0.8×	30	2.1k
Richard G. Swan United States	28	2.0k 1.2×	1.4k 1.5×	482 0.7×	481 0.8×	1.4k 4.7×	72	2.9k
W. B. R. Lickorish United Kingdom	24	2.5k 1.5×	1.6k 1.8×	1.0k 1.4×	559 0.9×	118 0.4×	61	2.8k
William C. Waterhouse United States	18	928 0.6×	617 0.7×	228 0.3×	307 0.5×	637 2.1×	146	1.5k
Charles W. Curtis United States	16	1.6k 1.0×	1.2k 1.3×	1.3k 1.7×	305 0.5×	1.1k 3.7×	50	2.8k
Michel Kervaire Switzerland	21	1.2k 0.8×	844 0.9×	248 0.3×	415 0.7×	462 1.6×	48	1.8k
Paul E. Schupp United States	18	2.1k 1.3×	1.3k 1.4×	826 1.1×	1.5k 2.4×	191 0.6×	58	3.0k

Countries citing papers authored by A. Karrass

Since Specialization

Citations

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

Fields of papers citing papers by A. Karrass

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. Karrass

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

1.

Burns, R. G., A. Karrass, & D. Solitar. (1987). A note on groups with separable finitely generated subgroups. Bulletin of the Australian Mathematical Society. 36(1). 153–160. 43 indexed citations

2.

Karrass, A. & D. Solitar. (1978). One relator groups having a finitely presented normal subgroup. Proceedings of the American Mathematical Society. 69(2). 219–222. 1 indexed citations

3.

Karrass, A. & D. Solitar. (1977). Subgroups with centre in HNN groups. Journal of the Australian Mathematical Society. 24(3). 350–361. 2 indexed citations

4.

Karrass, A. & D. Solitar. (1973). On finitely generated subgroups which are of finite index in generalized free products. Proceedings of the American Mathematical Society. 37(1). 22–28. 3 indexed citations

5.

Karrass, A., et al.. (1973). Finite and infinite cyclic extensions of free groups. Journal of the Australian Mathematical Society. 16(4). 458–466. 91 indexed citations

6.

Karrass, A., et al.. (1972). On One-Relator Groups Having Elements of Finite Order. Proceedings of the American Mathematical Society. 33(2). 297–297. 10 indexed citations

7.

Karrass, A., et al.. (1972). On one-relator groups having elements of finite order. Proceedings of the American Mathematical Society. 33(2). 297–301. 21 indexed citations

8.

Karrass, A. & D. Solitar. (1972). On a Theorem of Cohen and Lyndon About Free Bases for Normal Subgroups. Canadian Journal of Mathematics. 24(6). 1086–1091. 6 indexed citations

9.

Karrass, A. & D. Solitar. (1971). Subgroups of HNN Groups and Groups with one Defining Relation. Canadian Journal of Mathematics. 23(4). 627–643. 57 indexed citations

10.

Karrass, A. & D. Solitar. (1970). The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup. Transactions of the American Mathematical Society. 150(1). 227–227. 32 indexed citations

11.

Baumslag, Gilbert, A. Karrass, & D. Solitar. (1970). Torsion-free groups and amalgamated products. Proceedings of the American Mathematical Society. 24(4). 688–690. 3 indexed citations

12.

Karrass, A. & D. Solitar. (1970). The subgroups of a free product of two groups with an amalgamated subgroup. Transactions of the American Mathematical Society. 150(1). 227–255. 127 indexed citations

13.

Karrass, A. & D. Solitar. (1970). On the free product of two groups with an amalgamated subgroup of finite index in each factor. Proceedings of the American Mathematical Society. 26(1). 28–32. 6 indexed citations

14.

Karrass, A. & D. Solitar. (1969). On finitely generated subgroups of a free group. Proceedings of the American Mathematical Society. 22(1). 209–213. 19 indexed citations

15.

Karrass, A. & D. Solitar. (1969). On groups with one defining relation having an abelian normal subgroup.. Proceedings of the American Mathematical Society. 23(1). 5–10. 4 indexed citations

16.

Karrass, A. & D. Solitar. (1969). On the failure of the howson property for a group with a single defining relation. Mathematische Zeitschrift. 108(3). 235–236. 4 indexed citations

17.

Karrass, A. & D. Solitar. (1969). On finitely generated subgroups of a free product. Mathematische Zeitschrift. 108(4). 285–287. 7 indexed citations

18.

Karrass, A. & D. Solitar. (1958). On free products. Proceedings of the American Mathematical Society. 9(2). 217–221. 11 indexed citations

19.

Karrass, A. & D. Solitar. (1958). Subgroup theorems in the theory of groups given by defining relations. Communications on Pure and Applied Mathematics. 11(4). 547–571. 6 indexed citations

20.

Karrass, A. & D. Solitar. (1956). Some remarks on the infinite symmetric groups. Mathematische Zeitschrift. 66(1). 64–69. 12 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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