Robert M. Guralnick

Discrete Mathematics and Combinatorics · 2000–2020

A researcher in the Science corpus: 22 papers; trusts 35 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 80 citations into it; #255 of 2,017 by trust here, #82 by citations
• Geometry and Topology — 59 citations into it; #3,958 of 7,422 by trust here, #1,677 by citations
• Mathematical Physics — 35 citations into it; #5,766 of 8,562 by trust here, #3,022 by citations
• Algebra and Number Theory — 28 citations into it; #1,990 of 2,864 by trust here, #1,302 by citations
• Artificial Intelligence — 25 citations into it; #11,114 of 35,345 by trust here, #12,580 by citations
• Computational Theory and Mathematics — 21 citations into it
• Electrical and Electronic Engineering — 19 citations into it; #6,999 of 16,539 by trust here, #10,154 by citations
• Applied Mathematics — 8 citations into it

Whom Robert M. Guralnick trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Martin W. Liebeck
2. Michael Larsen
3. Kenneth D. Johnson
4. Aner Shalev
5. Michael Aschbacher
6. Ingrid Bauer
7. Gunter Malle
8. T. Breuer
9. Jean-Pierre Serre
10. Jason E. Fulman

Who trusts Robert M. Guralnick overall

1. Jason E. Fulman
2. Peter J. Cameron
3. Timothy C. Burness
4. Jordan S. Ellenberg
5. Martin W. Liebeck
6. Aner Shalev
7. Akshay Venkatesh
8. I. Gordon
9. Gabriel Navarro
10. Nikolay Nikolov

Papers from Robert M. Guralnick's perspective

Ordered by how strongly the researchers Robert M. Guralnick trusts endorse each paper. Same corpus, a different order for every researcher.

1. The maximal subgroups of positive dimension in exceptional algebraic groups
2. Probabilistic generation of finite simple groups, II
3. On base sizes for actions of finite classical groups
4. Fixed point ratios in actions of finite exceptional groups of lie type.
5. The Structure of Parabolic Subgroups (Journal of Lie theory)
6. Uniform expansion bounds for Cayley graphs of SL2(Fp)
7. Growth and generation in SL_2(Z/pZ)
8. Approximate Subgroups of Linear Groups
9. Commutators in Finite Simple Groups of Lie Type
10. Word maps have large image

Their papers

• Generation of finite almost simple groups by conjugates (2003) — 122 citations
• Derangements in simple and primitive groups (2002) — 51 citations
• The spread of a finite group (2020) — 47 citations
• Expansion in finite simple groups of Lie type (2013) — 162 citations
• On base sizes for symmetric groups (2011) — 71 citations
• Products of conjugacy classes and fixed point spaces (2010) — 94 citations
• Strongly dense free subgroups of semisimple algebraic groups (2010) — 46 citations
• Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements (2009) — 145 citations
• On fixed points of permutations (2007) — 52 citations
• ON THE COMMUTING PROBABILITY IN FINITE GROUPS (2006) — 153 citations
• Presentations of finite simple groups: a quantitative approach (2006) — 54 citations
• Thompson-like characterizations of the solvable radical ✩ (2006) — 61 citations
• Cross characteristic representations of even characteristic symplectic groups (2004) — 65 citations
• Special issue celebrating the 80th birthday of Robert Steinberg (2003) — 54 citations
• Finite simple unisingular groups of Lie type (2003) — 66 citations
• Self-normalizing Sylow subgroups (2003) — 50 citations
• The rational function analogue of a question of Schur and exceptionality of permutation representations (2002) — 84 citations
• Cross characteristic representations of symplectic and unitary groups (2002) — 60 citations
• On p-singular elements in Chevalley groups in characteristic ρ (2001) — 59 citations
• Commuting pairs and triples of matrices and related varieties (2000) — 65 citations