Publications
Most of the recent preprints can be found at
arXiv.
- On two group functors extending Schur multipliers.
Exp. Math., 2020. DOI: 10.1080/10586458.2020.1796857
(with
H. Dietrich)
(pdf, previous version: On a group functor describing invariants of algebraic surfaces Oberwolfach Preprints 2019-08)
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Gaps in probabilities of satisfying some commutator-like identities.
Israel J. Math. 237 (2020), no. 1, 115-140.
(with
C. Delizia ,
U. Jezernik, and
C. Nicotera)
(pdf)
-
Idempotent-fixing automorphisms of completely regular semigroups.
Semigroup Forum 99 (2019), 517-521.
(pdf)
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On finite p-groups satisfying given laws.
Monatsh. Math. 190 (2019), no. 3, 589-593.
(pdf)
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On the exponent of Bogomolov multipliers.
J. Group Theory 22 (2019), no 3, 491-504.
(pdf)
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On Tamura's identity yx=f(x,y) in groups.
Comm. Algebra 47 (2019), no 5, 2204-2208.
(pdf,
erratum).
-
Commutativity preserving extensions of groups.
Proc. Roy. Soc. Edinburgh Sect. A 148 (2018), 575-592.
(with
U. Jezernik)
(pdf)
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Groups in which every non-abelian subgroup is self-normalized.
Monatsh. Math. 185 (2018), no. 4, 591-600.
(with
C. Delizia ,
U. Jezernik, and
C. Nicotera)
(pdf)
-
Groups in which every non-nilpotent subgroup is self-normalizing.
Ars Math. Contemp. 15 (2018), 39-51.
(with
C. Delizia ,
U. Jezernik, and
C. Nicotera)
(pdf)
-
Locally finite groups in which every non-cyclic subgroup is self-centralizing.
J. Pure Appl. Algebra, 221 (2017), 401-410.
(with
C. Delizia ,
U. Jezernik,
C. Nicotera, and
C. Parker )
(pdf)
-
Groups in which every non-abelian subgroup is self-centralizing.
J. Algebra 462 (2016), 23-36.
(with C. Delizia ,
H. Dietrich, and
C. Nicotera)
(pdf)
-
Universal commutator relations, Bogomolov multipliers, and commuting probability.
J. Algebra 428 (2015), 1-25.
(with
U. Jezernik)
(pdf)
- Bogomolov multipliers of groups of order 128.
Exp. Math. 23 (2014), no. 2, 174-180.
(with
U. Jezernik)
(pdf)
-
Groups in which every non-cyclic subgroup contains its centralizer.
J. Algebra Appl. 13 (2014), no. 5, 11 pages.
(with C. Delizia ,
U. Jezernik, and
C. Nicotera)
(pdf)
- Unramified Brauer groups and isoclinism.
Ars Math. Contemp. 7 (2014), 337-340. (pdf)
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Groups with all centralizers subnormal of defect at most two.
J. Algebra 374 (2013), 132-140.
(with C. Delizia and
C. Nicotera)
(pdf)
- Unramified Brauer groups of finite and infinite groups.
Amer. J. Math. 134 (2012), no. 6, 1679-1704. (pdf, accompanying GAP code)
- Groups of order p^5 and their unramified Brauer groups.
J. Algebra 372 (2012), 320-327.
(pdf)
- On the centralizer and the commutator subgroup of an
automorphism. Monatsh. Math 167 (2012), no. 2, 165-174.
(with G. Endimioni)
(pdf)
- On the Schur multipliers of finite p-groups of given coclass.
Israel J. Math. 185 (2011), 189-205. (pdf)
- On the autocommutator subgroup and absolute center of a group. J. Algebra 341 (2011), 150-157.
(with H. Dietrich)
(pdf)
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Finite rings in which commutativity is transitive.
Monatsh. Math 162 (2011), no. 2, 143-155.
(with D. Dolžan and I. Klep)
(pdf)
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Powerful actions and nonabelian tensor products of powerful p-groups.
J. Group Theory 13 (2010), no. 3, 417-427.
(pdf)
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Basic commutators as relators. A computational perspective.
Computational Group Theory and the Theory of Groups, II. Providence, RI: American Mathematical Society (AMS).
Contemporary Mathematics 511, 83-91 (2010).
(with
R. F. Morse)
(pdf)
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Lie algebras with abelian centralizers.
Algebra Colloq. 17 (2010), no. 4, 629-636.
(with I. Klep)
(pdf)
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On *-orderable semigroups.
Semigroup Forum 80 (2010), no. 1, 143-154.
(with I. Klep)
(pdf)
-
Groups of prime power order and their nonabelian tensor squares.
Israel J. Math. 174 (2009), no. 1, 19-28.
(pdf)
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On pro-p groups with potent filtrations.
J. Algebra 322 (2009), no. 1, 254-258.
(pdf)
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Transitivity of properties of 2-generator subgroups.
Ischia Group Theory 2008, Proceedings of the conference, World Scientific, 68-78 (2009).
(with C. Delizia and
C. Nicotera)
(pdf)
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On the derived subgroups of free
nilpotent groups of finite rank.
Fine, Benjamin (ed.) et al., Aspects of infinite groups. Hackensack, NJ: World Scientific. Algebra and Discrete Mathematics (Hackensack) 1, 45-53 (2008).
(with R. D. Blyth and
R. F. Morse)
(pdf)
-
Powerful 2-Engel groups.
Comm. Algebra 36 (2008), no. 11, 4096-4119.
(with G. Traustason)
(pdf)
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Completely simple semigroups with nilpotent structure groups.
Semigroup Forum 77 (2008), no. 2, 316-324.
(pdf)
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Schur multipliers of n-Engel groups.
Internat. J. Algebra Comput.
18 (2008), no. 6, 1101-1115.
(pdf)
-
On the nonabelian tensor squares of free nilpotent groups of
finite rank.
Kappe, Luise-Charlotte (ed.) et al., Computational group theory and the theory of groups.
Providence, RI: American Mathematical Society (AMS). Contemporary Mathematics 470, 27-43 (2008).
(with R. D. Blyth and
R. F. Morse)
(pdf)
-
On the exponent semigroups of finite p-groups.
J. Group Theory 11 (2008), no. 4, 511-524.
(pdf)
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The exponents of nonabelian tensor products of groups.
J. Pure Appl. Algebra 212 (2008), 1840-1848.
(pdf)
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The nonabelian tensor product of polycyclic groups is polycyclic.
J. Group Theory 10 (2007), no. 6, 795-798.
(pdf)
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Locally graded Bell groups.
Publ. Math. Debrecen 71 (2007), no. 1-2, 1-9.
(with C. Delizia and
C. Nicotera)
(pdf)
-
Finite groups in which some property of two-generator subgroups is transitive.
Bull. Austral. Math. Soc. 75 (2007), no. 2, 313-320.
(with C. Delizia and
C. Nicotera)
(pdf)
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Groups in which the bounded nilpotency of two-generator subgroups is a transitive relation.
Beiträge Algebra Geom. 48 (2007), no. 1, 69-82.
(with C. Delizia and
C. Nicotera)
(pdf)
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Schur multipliers and power endomorphisms of groups.
J. Algebra 308 (2007), no. 1, 12-25.
(pdf)
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Power centralized semigroups.
Semigroup Forum 73 (2006), no. 1, 143-155.
(pdf)
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On power endomorphisms of n-central groups.
J. Group Theory
9 (2006), no. 4, 519-536.
(pdf)
-
Some groups with n-central normal closures.
Publ. Math. Debrecen
67 (2005), no. 3-4, 355-372.
(ps)
-
On *-orderable groups.
J. Pure Appl. Algebra
200 (2005), no. 1-2, 25-35.
(with I. Klep)
(ps)
-
On nonabelian tensor analogues of 2-Engel conditions.
Glasgow Math. J.
47 (2005), 77-86.
(pdf)
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On n-central semigroups.
Semigroup Forum
68 (2004), no. 3, 477-487.
(ps)
-
Some commutator group laws equivalent to the commutative law.
Comm. Algebra
30 (2002), no. 2, 671-691.
(ps)
Other material
-
GAP code for computing Bogomolov multipliers of finite solvable groups
(with U. Jezernik).
-
Bogomolov multipliers of all groups of order 128. Extended notes with full details on calculations; not for publication.
(with U. Jezernik)
(pdf)
- Bogomolov multipliers in
HAP (by Graham Ellis).
Links
Current funding
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Member of the research program P1-0222 (Algebra in Operator Theory and Financial Mathematics).
Funded by the ARRS.
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