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Roman’kov, V. A.

Embedding of free nilpotent (metabelian) groups in partially commutative nilpotent (metabelian) groups. (English. Russian original) Zbl 1535.20168

Math. Notes 114, No. 5, 914-919 (2023); translation from Mat. Zametki 114, No. 5, 773-779 (2023).

Reviewer: Egle Bettio (Venezia)

MSC: 20F18 20F36 20F16

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Timoshenko, E. I.

Group signature formulas constructed from graphs. (English. Russian original) Zbl 1522.20104

Algebra Logic 61, No. 2, 139-152 (2022); translation from Algebra Logika 61, No. 2, 201-219 (2022).

Reviewer: Enrico Jabara (Venezia)

MSC: 20E10 20F10 05C25 20F19 03C60

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Timoshenko, E. I.

On partially commutative groups and the relevant algebras with commutation. (English. Russian original) Zbl 1516.20004

Sib. Math. J. 63, No. 5, 967-973 (2022); translation from Sib. Mat. Zh. 63, No. 5, 1150-1157 (2022).

Reviewer: Enrico Jabara (Venezia)

MSC: 20A15 20E10 20F18 03C60

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Timoshenko, E. I.

Mal’tsev bases for partially commutative nilpotent groups. (English) Zbl 1516.20070

Int. J. Algebra Comput. 32, No. 1, 1-9 (2022).

Reviewer: Enrico Jabara (Venezia)

MSC: 20F18 05C25 20E10

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Timoshenko, E. I.

On the decomposition of partially commutative groups of varieties and their defining graphs. (English. Russian original) Zbl 1534.20048

Sib. Math. J. 62, No. 4, 742-746 (2021); translation from Sib. Mat. Zh. 62, No. 4, 911-916 (2021).

MSC: 20E10 05C25 20D15

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Poroshenko, Evgeny Nikolaevich; Timoshenko, Evgeny Iosifovich

Partially commutative groups and Lie algebras. (English) Zbl 1535.20139

Sib. Èlektron. Mat. Izv. 18, No. 1, 668-693 (2021).

MSC: 20E10 20E36 20F16 20F18 20F28 17B01

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Romanovskii, N. S.; Timoshenko, E. I.

Elementary equivalence and direct product decompositions of partially commutative groups of varieties. (English. Russian original) Zbl 1481.20003

Sib. Math. J. 61, No. 3, 538-541 (2020); translation from Sib. Mat. Zh. 61, No. 3, 681-686 (2020).

MSC: 20A15 03C60 20E10

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Poroshenko, E. N.

Universal equivalence of partially commutative Lie algebras. (English. Russian original) Zbl 1431.03050

Algebra Logic 56, No. 2, 133-148 (2017); translation from Algebra Logika 56, No. 2, 202-225 (2017).

MSC: 03C60 05C25 17B30

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Poroshenko, E. N.

Universal equivalence of some countably generated partially commutative structures. (English. Russian original) Zbl 1419.17009

Sib. Math. J. 58, No. 2, 296-304 (2017); translation from Sib. Mat. Zh. 58, No. 2, 386-398 (2017).

MSC: 17B01 17B30 03C60 20F05

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Certain combinatorial topics in group theory. (English) Zbl 1307.20030

Int. J. Group Theory 2, No. 1, 91-107 (2013).

Reviewer: Gerhard Rosenberger (Hamburg)

MSC: 20F05 20F16 20E22 20E05 20F19

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Mishchenko, A. A.; Treier, A. V.

Algorithmic decidability of the universal equivalence problem for partially commutative nilpotent groups. (English. Russian original) Zbl 1280.20039

Algebra Logic 52, No. 2, 147-158 (2013); translation from Algebra Logika 52, No. 2, 219-235 (2013).

MSC: 20F10 03C07 03D40 20F18 05C25

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Gupta, Ch. K.; Timoshenko, E. I.

Properties and universal theories for partially commutative nilpotent metabelian groups. (English. Russian original) Zbl 1284.20030

Algebra Logic 51, No. 4, 285-305 (2012); translation from Algebra Logika 51, No. 4, 429-457 (2012).

MSC: 20F05 20F70 20E10 03B10 03C60 20F10 20F16 20F18

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Baumann, Pierre; Kamnitzer, Joel

Preprojective algebras and MV polytopes. (English) Zbl 1242.05273

Represent. Theory 16, 152-188 (2012).

MSC: 05E10 16G20 17B10 22E46 52B20

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Mishchenko, A. A.; Trejer, A. V.

On the satisfiability of graph formulas on a partially commutative nilpotent group of class 2. (Russian. English summary) Zbl 1299.20051

Pinus, A. G. (ed.) et al., Algebra and model theory 8. Collection of papers from the 9th summer school “Frontiers in model theory and universal algebra”, Erlogol, Russia, June 22–28, 2011. Novosibirsk: Novosibirsk State Technical University (ISBN 978-5-7782-1819-2). 48-59 (2011).

MSC: 20F18 05C25 20F10 03C07 03D40

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Timoshenko, E. I.

A Mal’tsev basis for a partially commutative nilpotent metabelian group. (English. Russian original) Zbl 1259.20035

Algebra Logic 50, No. 5, 439-446 (2011); translation from Algebra Logika 50, No. 5, 647-658 (2011).

MSC: 20E10 20F16 20F10

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Mishchenko, A. A.; Timoshenko, E. I.

Universal equivalence of partially commutative nilpotent groups. (English. Russian original) Zbl 1243.20046

Sib. Math. J. 52, No. 5, 884-891 (2011); translation from Sib. Mat. Zh. 52, No. 5, 1113-1122 (2011).

Reviewer: Eric Jaligot (Grenoble)

MSC: 20F18 03C07 20E10 03C60

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Two results for the automorphism group for partially commutative class two nilpotent groups. (Russian. English summary) Zbl 1249.20043

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 10, No. 2, 85-97 (2010).

MSC: 20F28 20F18 05C25 20H20

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Remeslennikov, V. N.; Treier, A. V.

Structure of the automorphism group for partially commutative class two nilpotent groups. (English. Russian original) Zbl 1195.20039

Algebra Logic 49, No. 1, 43-67 (2010); translation from Algebra Logika 49, No. 1, 60-97 (2010).

MSC: 20F28 20F18 05C25 20H20

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Mishchenko, A. A.

Structure of coordinate groups for algebraic sets in partially commutative nilpotent groups. (English. Russian original) Zbl 1245.20053

Algebra Logic 48, No. 3, 214-227 (2009); translation from Algebra Logika 48, No. 3, 378-399 (2009).

MSC: 20F70 20F18 03C07 20E10

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Mishchenko, A. A.

Universal equivalence of partially commutative class two nilpotent \(\mathbb{Q}\)-groups. (English) Zbl 1207.20028

Vestn. Omsk. Univ. 2008, Spec. Issue, 61-67 (2008).

MSC: 20F18 03C07 20E10

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Blatherwick, Vikki A.

Centraliser dimension of free partially commutative nilpotent groups of class 2. (English) Zbl 1149.20029

Glasg. Math. J. 50, No. 2, 251-269 (2008).

Reviewer: V. A. Roman’kov (Omsk)

MSC: 20F18 20E05 20E10 14A22 05C25 20F05 20F36

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Mishchenko, A. A.; Trejer, A. V.

Commuting graphs for partially commutative nilpotent \(\mathbb{Q}\)-groups of class 2. (Russian. English summary) Zbl 1134.20304

Sib. Èlektron. Mat. Izv. 4, 460-481 (2007).

MSC: 20D60 05C25 20D15

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