Burton Fein

733 total citations
55 papers, 485 citations indexed

About

Burton Fein is a scholar working on Geometry and Topology, Discrete Mathematics and Combinatorics and Mathematical Physics. According to data from OpenAlex, Burton Fein has authored 55 papers receiving a total of 485 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Geometry and Topology, 26 papers in Discrete Mathematics and Combinatorics and 19 papers in Mathematical Physics. Recurrent topics in Burton Fein's work include Finite Group Theory Research (26 papers), Algebraic Geometry and Number Theory (18 papers) and Advanced Algebra and Geometry (18 papers). Burton Fein is often cited by papers focused on Finite Group Theory Research (26 papers), Algebraic Geometry and Number Theory (18 papers) and Advanced Algebra and Geometry (18 papers). Burton Fein collaborates with scholars based in United States, Israel and Iceland. Burton Fein's co-authors include Murray Schacher, William M. Kantor, Basil Gordon, John H. Smith, David J. Saltman, Jack Sonn, Jón Kr. Arason and Adrian R. Wadsworth and has published in prestigious journals such as Transactions of the American Mathematical Society, Pacific Journal of Mathematics and Bulletin of the American Mathematical Society.

In The Last Decade

Burton Fein

48 papers receiving 340 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Burton Fein United States	10	264	231	138	131	126	55	485
Murray Schacher United States	11	325 1.2×	257 1.1×	199 1.4×	140 1.1×	117 0.9×	56	514
Hermann Hähl Germany	10	222 0.8×	206 0.9×	158 1.1×	139 1.1×	49 0.4×	27	426
J. S. Hsia United States	13	295 1.1×	110 0.5×	265 1.9×	276 2.1×	96 0.8×	49	571
William H. Gustafson United States	9	180 0.7×	207 0.9×	189 1.4×	64 0.5×	71 0.6×	27	440
Luis Ribes Canada	14	571 2.2×	277 1.2×	147 1.1×	346 2.6×	84 0.7×	38	749
Eva Bayer‐Fluckiger Switzerland	12	342 1.3×	104 0.5×	175 1.3×	237 1.8×	175 1.4×	56	565
David R. Hayes United States	10	344 1.3×	101 0.4×	241 1.7×	132 1.0×	202 1.6×	29	513
Theo Grundhöfer Germany	8	161 0.6×	158 0.7×	83 0.6×	108 0.8×	51 0.4×	28	295
R. W. K. Odoni United Kingdom	11	197 0.7×	86 0.4×	169 1.2×	118 0.9×	86 0.7×	57	356
Luise-Charlotte Kappe United States	11	170 0.6×	195 0.8×	173 1.3×	49 0.4×	84 0.7×	40	358

Countries citing papers authored by Burton Fein

Since Specialization

Citations

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

Fields of papers citing papers by Burton Fein

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Burton Fein

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

Fein, Burton, et al.. (2001). On the irreducibility of the iterates of 𝑥ⁿ-𝑏. Proceedings of the American Mathematical Society. 130(6). 1589–1596. 8 indexed citations

Fein, Burton, David J. Saltman, & Murray Schacher. (1994). Embedding Problems for Finite Dimensional Division Algebras. Journal of Algebra. 167(3). 588–626. 5 indexed citations

Fein, Burton, David J. Saltman, & Murray Schacher. (1993). Crossed Products over Rational Function Fields. Journal of Algebra. 156(2). 454–493. 9 indexed citations

Fein, Burton, David J. Saltman, & Murray Schacher. (1990). Minimal embeddings of central simple algebras. Journal of Algebra. 133(2). 404–423.

Fein, Burton & Murray Schacher. (1990). A generalization of Q-admissibility. Journal of Algebra. 131(1). 166–178. 1 indexed citations

Fein, Burton & Murray Schacher. (1984). Brauer groups and character groups of function fields, II. Journal of Algebra. 87(2). 510–534. 2 indexed citations

Schacher, Murray, Burton Fein, & William M. Kantor. (1981). Relative Brauer groups II.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1981(328). 39–57. 86 indexed citations

Fein, Burton & Murray Schacher. (1976). The Ordinary Quaternions Over a Pythagorean Field. Proceedings of the American Mathematical Society. 60(1). 16–16. 2 indexed citations

Fein, Burton & Murray Schacher. (1976). The ordinary quaternions over a Pythagorean field. Proceedings of the American Mathematical Society. 60(1). 16–16. 8 indexed citations

10.

Fein, Burton & Murray Schacher. (1976). Brauer groups of fields algebraic over Q. Journal of Algebra. 43(1). 328–337. 4 indexed citations

11.

Fein, Burton & Murray Schacher. (1976). Galois groups and division algebras. Journal of Algebra. 38(1). 182–191. 10 indexed citations

12.

Fein, Burton. (1975). Schur Indices and Sums of Squares. Proceedings of the American Mathematical Society. 51(1). 31–31. 4 indexed citations

13.

Fein, Burton. (1975). Schur indices and sums of squares. Proceedings of the American Mathematical Society. 51(1). 31–34. 3 indexed citations

14.

Fein, Burton, et al.. (1974). The Schur index and the order and exponent of a finite group. Journal of Algebra. 28(3). 496–498. 9 indexed citations

15.

Fein, Burton & Murray Schacher. (1974). Finite subgroups occuring in finite-dimensional division algebras. Journal of Algebra. 32(2). 332–338. 3 indexed citations

16.

Fein, Burton. (1972). Embedding rational division algebras. Proceedings of the American Mathematical Society. 32(2). 427–429. 7 indexed citations

17.

Fein, Burton. (1972). Embedding Rational Division Algebras. Proceedings of the American Mathematical Society. 32(2). 427–427. 4 indexed citations

18.

Fein, Burton & Murray Schacher. (1971). Embedding finite groups in rational division algebras. II. Journal of Algebra. 19(1). 131–139. 5 indexed citations

19.

Fein, Burton, Basil Gordon, & John H. Smith. (1971). On the representation of−1 as a sum of two squares in an algebraic number field. Journal of Number Theory. 3(3). 310–315. 27 indexed citations

20.

Fein, Burton. (1968). Lifting modular representations of finite groups. Proceedings of the American Mathematical Society. 19(1). 217–221. 1 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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