Murray Schacher

836 total citations
56 papers, 514 citations indexed

About

Murray Schacher is a scholar working on Geometry and Topology, Discrete Mathematics and Combinatorics and Algebra and Number Theory. According to data from OpenAlex, Murray Schacher has authored 56 papers receiving a total of 514 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Geometry and Topology, 23 papers in Discrete Mathematics and Combinatorics and 17 papers in Algebra and Number Theory. Recurrent topics in Murray Schacher's work include Finite Group Theory Research (23 papers), Algebraic Geometry and Number Theory (21 papers) and Advanced Algebra and Geometry (12 papers). Murray Schacher is often cited by papers focused on Finite Group Theory Research (23 papers), Algebraic Geometry and Number Theory (21 papers) and Advanced Algebra and Geometry (12 papers). Murray Schacher collaborates with scholars based in United States, Israel and Iceland. Murray Schacher's co-authors include Burton Fein, William M. Kantor, Claudio Procesi, Jack Sonn, David J. Saltman, Lance W. Small, I. N. Herstein, Basil Gordon, E. G. Straus and V. S. Varadarajan and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Pacific Journal of Mathematics.

In The Last Decade

Murray Schacher

53 papers receiving 427 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Murray Schacher United States	11	325	257	199	140	117	56	514
Burton Fein United States	10	264 0.8×	231 0.9×	138 0.7×	131 0.9×	126 1.1×	55	485
Hermann Hähl Germany	10	222 0.7×	206 0.8×	158 0.8×	139 1.0×	49 0.4×	27	426
O. Timothy O’Meara United States	10	248 0.8×	263 1.0×	214 1.1×	256 1.8×	74 0.6×	20	502
R. W. K. Odoni United Kingdom	11	197 0.6×	86 0.3×	169 0.8×	118 0.8×	86 0.7×	57	356
J. S. Hsia United States	13	295 0.9×	110 0.4×	265 1.3×	276 2.0×	96 0.8×	49	571
David J. Saltman United States	16	644 2.0×	268 1.0×	354 1.8×	353 2.5×	88 0.8×	50	800
H. Heilbronn Canada	6	256 0.8×	123 0.5×	211 1.1×	164 1.2×	54 0.5×	12	378
S. Bachmuth United States	12	294 0.9×	222 0.9×	69 0.3×	156 1.1×	46 0.4×	27	405
Rudolf Scharlau Germany	11	187 0.6×	125 0.5×	79 0.4×	133 0.9×	48 0.4×	25	308
Helmut Völklein United States	10	311 1.0×	133 0.5×	93 0.5×	194 1.4×	48 0.4×	40	367

Countries citing papers authored by Murray Schacher

Since Specialization

Citations

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

Fields of papers citing papers by Murray Schacher

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Murray Schacher

This figure shows the co-authorship network connecting the top 25 collaborators of Murray Schacher. A scholar is included among the top collaborators of Murray Schacher 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 Murray Schacher. Murray Schacher is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Guralnick, Robert M., Murray Schacher, & Jack Sonn. (2005). Irreducible polynomials which are locally reducible everywhere. Proceedings of the American Mathematical Society. 133(11). 3171–3177. 2 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

Elman, Richard, et al.. (1993). Linear Algebraic Groups and Their Representations. Contemporary mathematics - American Mathematical Society. 15 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

Gordon, Basil & Murray Schacher. (1979). The admissibility of A5. Journal of Number Theory. 11(4). 498–504. 11 indexed citations

10.

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

11.

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

12.

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

13.

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

14.

Herstein, I. N., Claudio Procesi, & Murray Schacher. (1975). Algebraic valued functions on noncommutative rings. Journal of Algebra. 36(1). 128–150. 22 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.

Schacher, Murray & Lance W. Small. (1973). Noncrossed products in characteristic p. Journal of Algebra. 24(1). 100–103. 13 indexed citations

17.

Schacher, Murray, et al.. (1972). The Schur subgroup II. Journal of Algebra. 22(2). 378–385. 62 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.

Schacher, Murray. (1968). Subfields of division rings, I. Journal of Algebra. 9(4). 451–477. 54 indexed citations

20.

Lane, Saunders Mac, Murray Schacher, & Richard Ross Shaker. (1964). Axiomatic set theory. 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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