Peter Abramenko

University of Virginia — United States

Mathematics · Physical Sciences

10h-index731citations41works0.02yr avg
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Research Topics

Advanced Algebra and Geometry(15), Finite Group Theory Research(13), Geometric and Algebraic Topology(8), Algebraic structures and combinatorial models(6), Advanced Combinatorial Mathematics(6)

Publications41 total

Applications of the Fixed Point Theorem for group actions on buildings to algebraic groups over polynomial rings
Journal of Algebra·2023· 1 cited
Applications of the Fixed Point Theorem for group actions on buildings to algebraic groups over polynomial rings
arXiv (Cornell University)·2022Open Access
Concept of crime in the field of service activities performed by penitentiary system personnel
Scientific Herald of Sivershchyna Series Law·2020Open Access
Finite presentability of Kac-Moody groups over finite fields
arXiv (Cornell University)·2019· 2 citedOpen Access
Distance regularity in buildings and structure constants in Hecke algebras
Journal of Algebra·2017· 1 citedOpen Access
Distance regularity in buildings and structure constants in Hecke\n algebras
arXiv (Cornell University)·2015Open Access
A classification of commutative parabolic Hecke algebras
Journal of Algebra·2013· 7 citedOpen Access
A classification of commutative parabolic Hecke algebras
arXiv (Cornell University)·2011· 1 citedOpen Access
Some reductive anisotropic groups that admit no non-trivial split spherical BN-pairs
arXiv (Cornell University)·2011Open Access
Some reductive anisotropic groups that admit no non-trivial split\n spherical BN-pairs
arXiv (Cornell University)·2011Open Access
Strongly and Weyl transitive group actions on buildings arising from Chevalley groups
arXiv (Cornell University)·2011· 2 citedOpen Access
Intersections of apartments
Journal of Combinatorial Theory Series A·2009· 3 cited
Automorphisms of non-spherical buildings have unbounded displacement
Innovations in incidence geometry·2009· 17 citedOpen Access
On finite and elementary generation of SL_2(R)
arXiv (Cornell University)·2008· 2 citedOpen Access
Intersections of Apartments
arXiv (Cornell University)·2008Open Access
Buildings: Theory and Applications
2008· 179 cited
Buildings
Graduate texts in mathematics·2008· 257 cited
Automorphisms of non-spherical buildings have unbounded displacement
arXiv (Cornell University)·2007Open Access
Transitivity properties for group actions on buildings
Journal of Group Theory·2007· 11 cited
Transitivity properties for group actions on buildings
arXiv (Cornell University)·2006· 1 citedOpen Access
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Frequent Co-authors

Hendrik Van Maldeghem(11), Kenneth S. Brown(5), James Parkinson(4), Matthew C. B. Zaremsky(3), Andrei S. Rapinchuk(2), Igor A. Rapinchuk(2), Kenneth S. Brown(1), Bernhard Mühlherr(1), Gabriele Nebe(1), Mark Ronan(1), Herbert Abels(1), Bertrand R Emy(1), Zachary Gates(1), O. Zvenyhorodskyi(1)