RM
Roman Mikhailov
math.GRmath.ATmath.KTmath.GTmath.RAmath.CTcs.GTmath.GNmath.RT
On Valency
published · living versionsW_gx3mgz7w·v1 · currentpublished
W_pfv84q5q·v1published
Preprints & journals
62 papers in the corpus · 2007–2026Two-generator presentations with a relation gap2610.23637v1 · Laurent Bartholdi, Martin R. Bridson, Roman Mikhailov et al.2026 · 0 citationsarXiv
Finite Chains of Two-Complexes and Acyclic Covers2610.10074v1 · Laurent Bartholdi, Roman Mikhailov2026 · 0 citationsarXivon Valency
Dimension subrings of Lie rings2610.02042v1 · Vasily Ionin, Roman Mikhailov, Tima Petrov2026 · 0 citationsarXiv
Every countable group embeds in a group of type 2609.37562v2 · Laurent Bartholdi, Roman Mikhailov2026 · 0 citationsarXivon Valency
On symmetric and twisted-unitary modular units in group rings2609.29273v1 · Laurent Bartholdi, Iuliya Beloshapka, Roman Mikhailov2026 · 0 citationsarXiv
Dimension quotients as boundary limits: the general case2608.22327v1 · Roman Mikhailov2026 · 0 citationsarXiv
Two results on asphericity2608.20270v1 · Roman Mikhailov2026 · 0 citationsarXiv
The Parafree Conjecture for Lie rings and associative algebras2608.20570v2 · Vasily Ionin, Roman Mikhailov2026 · 0 citationsarXiv
Dimension quotients as boundary limits2405.03979v1 · Roman Mikhailov2024 · 0 citationsarXiv
Limits via relations2405.03175v1 · Sergei O. Ivanov, Roman Mikhailov, Fedor Pavutnitskiy2024 · 0 citationsarXiv
The Topology of Poker2305.02023v3 · Laurent Bartholdi, Roman Mikhailov2023 · 0 citationsGames and Economic Behavior, Volume 155, January 2026, Pages 1-9
HR-length of a free group via polynomial functors2111.11835v3 · Sergei O. Ivanov, Roman Mikhailov2021 · 0 citationsarXiv
Homotopy patterns in group theory2111.00737v1 · Roman Mikhailov2021 · 0 citationsarXiv
Homology of the pronilpotent completion and cotorsion groups2107.01485v1 · Mikhail Basok, Sergei O. Ivanov, Roman Mikhailov2021 · 0 citationsarXiv
Homological properties of parafree Lie algebras1908.04608v2 · Sergei O. Ivanov, Roman Mikhailov, Anatoly Zaikovski2019 · 7 citationsJournal of Algebra, Volume 560, 15 October 2020, Pages 1092-1106
Limits, standard complexes and fr-codes1906.08793v1 · Sergei O. Ivanov, Roman Mikhailov, Fedor Pavutnitskiy2019 · 1 citationarXiv
On homotopy aspects and cablings of virtual pure braid groups1808.09786v1 · Valeriy G. Bardakov, Roman Mikhailov, Jie Wu2018 · 0 citationsarXiv
An example of a fractal finitely generated solvable group1808.00678v1 · Roman Mikhailov2018 · 1 citationarXiv
Homotopy theory of Lie functors1808.00681v1 · Roman Mikhailov2018 · 1 citationarXiv
Group and Lie algebra filtrations and homotopy groups of spheres1805.10894v3 · Laurent Bartholdi, Roman Mikhailov2018 · 1 citationarXiv
Higher colimits, derived functors and homology1805.07754v2 · Sergei O. Ivanov, Roman Mikhailov, Vladimir Sosnilo2018 · 2 citationsarXiv
An odd order group without the dimension property1803.09428v2 · Laurent Bartholdi, Roman Mikhailov2018 · 0 citationsarXiv
On discrete homology of a free pro--group1705.09131v1 · Sergei O. Ivanov, Roman Mikhailov2017 · 6 citationsCompositio Math. 154 (2018) 2195-2204
On the third homotopy group of Orr's space1703.10537v1 · Emmanuel D. Farjoun, Roman Mikhailov2017 · 1 citationAlgebr. Geom. Topol. 18 (2018) 569-582
Dimension quotients, Fox subgroups and limits of functors1703.08304v1 · Roman Mikhailov, Inder Bir S. Passi2017 · 5 citationsarXiv
Narain Gupta's three normal subgroup problem and group homology1611.01313v1 · Roman Mikhailov, Inder Bir S. Passi2016 · 0 citationsarXiv
Free Group Rings and Derived Functors1605.08196v1 · Roman Mikhailov, Inder Bir S. Passi2016 · 6 citationsarXiv
On lengths of HZ-localization towers1605.08198v2 · Sergei O. Ivanov, Roman Mikhailov2016 · 1 citationarXiv
Higher limits, homology theories and fr-codes1510.09044v1 · Sergei O. Ivanov, Roman Mikhailov2015 · 5 citationsarXiv
The subgroup determined by a certain ideal in a free group ring1508.04400v1 · Roman Mikhailov, Inder Bir S. Passi2015 · 1 citationarXiv
Homotopy theory and generalized dimension subgroups1506.08324v1 · Sergei O. Ivanov, Roman Mikhailov, Jie Wu2015 · 3 citationsarXiv
Generalized dimension subgroups and derived functors1506.02124v2 · Roman Mikhailov, Inder Bir S. Passi2015 · 9 citationsarXiv
On the metastable homotopy of mod 2 Moore spaces1506.00945v1 · Roman Mikhailov, Jie Wu2015 · 2 citationsAlgebr. Geom. Topol. 16 (2016) 1773-1797
A combinatorial approach to the exponents of Moore spaces1506.00948v1 · Frederick R. Cohen, Roman Mikhailov, Jie Wu2015 · 3 citationsarXiv
On nontriviality of homotopy groups of spheres1506.00952v1 · Sergei O. Ivanov, Roman Mikhailov, Jie Wu2015 · 5 citationsarXiv
Leibniz rule on higher pages of unstable spectral sequences1503.08314v3 · Sergei O. Ivanov, Roman Mikhailov, Jie Wu2015 · 0 citationsarXiv
On Bousfield problem for the class of metabelian groups1407.2959v1 · Sergei O. Ivanov, Roman Mikhailov2014 · 0 citationsarXiv
A one-relator group with long lower central series1406.2550v1 · Roman Mikhailov2014 · 3 citationsarXiv
On transfinite nilpotence of the Vogel-Levine localization1406.2554v1 · Roman Mikhailov2014 · 1 citationarXiv
Derived functors of the divided power functors1312.5676v2 · Lawrence Breen, Roman Mikhailov, Antoine Touz'e2013 · 11 citationsarXiv
A higher limit approach to homology theories1309.4920v1 · Sergei O. Ivanov, Roman Mikhailov2013 · 9 citationsarXiv
Group localization and two problems of Levine1306.6065v1 · Roman Mikhailov, Kent E. Orr2013 · 0 citationsarXiv
Localization, metabelian groups, and the isomorphism problem1301.5533v2 · Gilbert Baumslag, Roman Mikhailov, Kent Orr2013 · 6 citationsarXiv
Residual properties of groups defined by basic commutators1301.4629v2 · Gilbert Baumslag, Roman Mikhailov2013 · 3 citationsarXiv
On zero-divisors in group rings of groups with torsion1209.1443v1 · S. V. Ivanov, R. Mikhailov2012 · 2 citationsCan. Math. Bull. 57 (2014) 326-334
A new look at finitely generated metabelian groups1203.5431v1 · Gilbert Baumslag, Roman Mikhailov, Kent E. Orr2012 · 13 citationsarXiv
On the splitting of polynomial functors1202.0586v2 · Roman Mikhailov2012 · 0 citationsarXiv
Homotopy groups as centers of finitely presented groups1108.6167v1 · Roman Mikhailov, Jie Wu2011 · 1 citationarXiv
A combinatorial description of homotopy groups of spheres1108.3055v1 · Roman Mikhailov, Jie Wu2011 · 4 citationsarXiv
Symmetric ideals in group rings and simplicial homotopy1002.0128v3 · Roman Mikhailov, Inder Bir S. Passi, Jie Wu2010 · 11 citationsJ. Pure Appl. Algebra 215 (2011), 1085-1092
Career total: 126 works. 62 are in this corpus.Showing the 50 most recent.
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