Balogh, Zsolt; Bovdi, Victor The isomorphism problem of unitary subgroups of modular group algebras. (English) Zbl 1463.16060 Publ. Math. Debr. 97, No. 1-2, 27-39 (2020). Reviewer: Todor Mollov (Plovdiv) MSC: 16U60 20D15 20C05 16S34 PDFBibTeX XMLCite \textit{Z. Balogh} and \textit{V. Bovdi}, Publ. Math. Debr. 97, No. 1--2, 27--39 (2020; Zbl 1463.16060) Full Text: DOI
Bovdi, V. Group algebras whose unit group is locally nilpotent. (English) Zbl 1481.20010 J. Aust. Math. Soc. 109, No. 1, 17-23 (2020). MSC: 20C05 16S34 20F45 20F19 16U60 PDFBibTeX XMLCite \textit{V. Bovdi}, J. Aust. Math. Soc. 109, No. 1, 17--23 (2020; Zbl 1481.20010) Full Text: DOI arXiv
Bovdi, Victor; Breuer, Thomas; Maróti, Attila Finite simple groups with short Galois orbits on conjugacy classes. (English) Zbl 1437.16031 J. Algebra 544, 151-169 (2020). Reviewer: Todor Mollov (Plovdiv) MSC: 16U60 16S34 20E45 20K15 20D05 PDFBibTeX XMLCite \textit{V. Bovdi} et al., J. Algebra 544, 151--169 (2020; Zbl 1437.16031) Full Text: DOI arXiv
Bovdi, V. A.; Grishkov, A. N. Unitary and symmetric units of a commutative group algebra. (English) Zbl 1458.16029 Proc. Edinb. Math. Soc., II. Ser. 62, No. 3, 641-654 (2019). MSC: 16S34 16U60 20C05 PDFBibTeX XMLCite \textit{V. A. Bovdi} and \textit{A. N. Grishkov}, Proc. Edinb. Math. Soc., II. Ser. 62, No. 3, 641--654 (2019; Zbl 1458.16029) Full Text: DOI arXiv
Balogh, Zsolt; Bovdi, Victor Isomorphism problem of Unitary Subgroups of Group Algebras. arXiv:1908.03877 Preprint, arXiv:1908.03877 [math.RA] (2019). MSC: 16U60 20D15 20C05 16S34 BibTeX Cite \textit{Z. Balogh} and \textit{V. Bovdi}, ``Isomorphism problem of Unitary Subgroups of Group Algebras'', Preprint, arXiv:1908.03877 [math.RA] (2019) Full Text: arXiv OA License
Bovdi, Victor; Salim, Mohammed Group algebras whose groups of normalized units have exponent 4. (English) Zbl 1458.16030 Czech. Math. J. 68, No. 1, 141-148 (2018). MSC: 16S34 16U60 PDFBibTeX XMLCite \textit{V. Bovdi} and \textit{M. Salim}, Czech. Math. J. 68, No. 1, 141--148 (2018; Zbl 1458.16030) Full Text: DOI arXiv
Bovdi, V.; Salim, M. On the unit group of a commutative group ring. (English) Zbl 1322.16024 Acta Sci. Math. 80, No. 3-4, 433-445 (2014). Reviewer: Tibor Juhász (Eger) MSC: 16U60 20C05 16S34 PDFBibTeX XMLCite \textit{V. Bovdi} and \textit{M. Salim}, Acta Sci. Math. 80, No. 3--4, 433--445 (2014; Zbl 1322.16024) Full Text: DOI arXiv
Bovdi, Victor Free subgroups in group rings. arXiv:1406.6771 Preprint, arXiv:1406.6771 [math.GR] (2014). MSC: 16S34 16U60 BibTeX Cite \textit{V. Bovdi}, ``Free subgroups in group rings'', Preprint, arXiv:1406.6771 [math.GR] (2014) Full Text: arXiv OA License
Bovdi, Victor Group rings in which the group of units is hyperbolic. (English) Zbl 1254.16028 J. Group Theory 15, No. 2, 227-235 (2012). Reviewer: János Kurdics (Nyíregyháza) MSC: 16U60 20F67 16S34 20C05 20C07 PDFBibTeX XMLCite \textit{V. Bovdi}, J. Group Theory 15, No. 2, 227--235 (2012; Zbl 1254.16028) Full Text: DOI
Bovdi, Victor; Konovalov, Alexander Integral group ring of the Mathieu simple group \(M_{24}\). (English) Zbl 1247.16032 J. Algebra Appl. 11, No. 1, Article ID 1250016, 10 p. (2012). Reviewer: János Kurdics (Nyíregyháza) MSC: 16U60 20C05 16S34 20D08 PDFBibTeX XMLCite \textit{V. Bovdi} and \textit{A. Konovalov}, J. Algebra Appl. 11, No. 1, Article ID 1250016, 10 p. (2012; Zbl 1247.16032) Full Text: DOI arXiv
Bovdi, V. A.; Konovalov, A. B.; Linton, S. Torsion units in integral group rings of Conway simple groups. (English) Zbl 1234.16025 Int. J. Algebra Comput. 21, No. 4, 615-634 (2011). Reviewer: S. V. Mihovski (Plovdiv) MSC: 16U60 20C05 16S34 20D08 PDFBibTeX XMLCite \textit{V. A. Bovdi} et al., Int. J. Algebra Comput. 21, No. 4, 615--634 (2011; Zbl 1234.16025) Full Text: DOI arXiv
Bovdi, V. A.; Jespers, E.; Konovalov, A. B. Torsion units in integral group rings of Janko simple groups. (English) Zbl 1209.16026 Math. Comput. 80, No. 273, 593-615 (2011). MSC: 16U60 20C05 16S34 20D08 PDFBibTeX XMLCite \textit{V. A. Bovdi} et al., Math. Comput. 80, No. 273, 593--615 (2011; Zbl 1209.16026) Full Text: DOI arXiv
Bovdi, Victor A.; Konovalov, Alexander B. Torsion units in integral group ring of Higman-Sims simple group. (English) Zbl 1221.16026 Stud. Sci. Math. Hung. 47, No. 1, 1-11 (2010). Reviewer: János Kurdics (Nyíregyháza) MSC: 16U60 20C05 16S34 20D08 PDFBibTeX XMLCite \textit{V. A. Bovdi} and \textit{A. B. Konovalov}, Stud. Sci. Math. Hung. 47, No. 1, 1--11 (2010; Zbl 1221.16026) Full Text: DOI arXiv
Bovdi, V. A.; Konovalov, A. B. Integral group ring of Rudvalis simple group. (English) Zbl 1209.16027 Ukr. Mat. Zh. 61, No. 1, 1-13 (2009) and Ukr. Math. J. 61, No. 1, 3-13 (2009). MSC: 16U60 20C05 16S34 20D08 PDFBibTeX XMLCite \textit{V. A. Bovdi} and \textit{A. B. Konovalov}, Ukr. Mat. Zh. 61, No. 1, 1--13 (2009; Zbl 1209.16027) Full Text: DOI arXiv
Bovdi, Victor Group algebras whose group of units is powerful. (English) Zbl 1194.20005 J. Aust. Math. Soc. 87, No. 3, 325-328 (2009). Reviewer: S. V. Mihovski (Plovdiv) MSC: 20C05 16U60 20D15 16S34 PDFBibTeX XMLCite \textit{V. Bovdi}, J. Aust. Math. Soc. 87, No. 3, 325--328 (2009; Zbl 1194.20005) Full Text: DOI arXiv
Bovdi, V.; Grishkov, A.; Konovalov, A. Kimmerle conjecture for the Held and O’Nan sporadic simple groups. (English) Zbl 1182.16030 Sci. Math. Jpn. 69, No. 3, 353-362 (2009). Reviewer: Eric Jespers (Brüssel) MSC: 16U60 20C05 16S34 20D08 PDFBibTeX XMLCite \textit{V. Bovdi} et al., Sci. Math. Jpn. 69, No. 3, 353--362 (2009; Zbl 1182.16030) Full Text: arXiv Link
Bovdi, V. A.; Konovalov, A. B.; Linton, S. Torsion units in integral group ring of the Mathieu simple group \(M_{22}\). (English) Zbl 1225.16017 LMS J. Comput. Math. 11, 28-39 (2008). MSC: 16U60 20C05 16S34 20D08 PDFBibTeX XMLCite \textit{V. A. Bovdi} et al., LMS J. Comput. Math. 11, 28--39 (2008; Zbl 1225.16017) Full Text: DOI arXiv
Bovdi, Victor A.; Konovalov, Alexander B.; Marcos, Eduardo Do Nascimento Integral group ring of the Suzuki sporadic simple group. (English) Zbl 1156.16022 Publ. Math. Debr. 72, No. 3-4, 487-503 (2008). MSC: 16U60 20C05 16S34 20D08 PDFBibTeX XMLCite \textit{V. A. Bovdi} et al., Publ. Math. Debr. 72, No. 3--4, 487--503 (2008; Zbl 1156.16022) Full Text: arXiv
Bovdi, V. A.; Konovalov, A. B. Integral group ring of the Mathieu simple group \(M_{23}\). (English) Zbl 1148.16027 Commun. Algebra 36, No. 7, 2670-2680 (2008). Reviewer: János Kurdics (Nyíregyháza) MSC: 16U60 20C05 16S34 20D08 PDFBibTeX XMLCite \textit{V. A. Bovdi} and \textit{A. B. Konovalov}, Commun. Algebra 36, No. 7, 2670--2680 (2008; Zbl 1148.16027) Full Text: DOI arXiv
Bovdi, Victor; Hertweck, Martin Zassenhaus conjecture for central extensions of \(S_5\). (English) Zbl 1143.16032 J. Group Theory 11, No. 1, 63-74 (2008). Reviewer: Inder Bir Singh Passi (Chandigarh) MSC: 16U60 20C05 16S34 20C30 PDFBibTeX XMLCite \textit{V. Bovdi} and \textit{M. Hertweck}, J. Group Theory 11, No. 1, 63--74 (2008; Zbl 1143.16032) Full Text: DOI arXiv
Bovdi, V. A.; Konovalov, A. B. Integral group ring of the McLaughlin simple group. (English) Zbl 1159.16028 Algebra Discrete Math. 2007, No. 2, 43-53 (2007). MSC: 16U60 20C05 16S34 20D08 PDFBibTeX XMLCite \textit{V. A. Bovdi} and \textit{A. B. Konovalov}, Algebra Discrete Math. 2007, No. 2, 43--53 (2007; Zbl 1159.16028) Full Text: arXiv
Bovdi, Victor Modular group algebras with almost maximal Lie nilpotency indices. II. (English) Zbl 1130.16016 Sci. Math. Jpn. 65, No. 2, 267-271 (2007). MSC: 16S34 17B30 20C05 16W10 20D15 20D30 PDFBibTeX XMLCite \textit{V. Bovdi}, Sci. Math. Jpn. 65, No. 2, 267--271 (2007; Zbl 1130.16016) Full Text: arXiv
Bovdi, V. A.; Konovalov, A. B.; Siciliano, S. Integral group ring of the Mathieu simple group \(M_{12}\). (English) Zbl 1125.16020 Rend. Circ. Mat. Palermo (2) 56, No. 1, 125-136 (2007). Reviewer: János Kurdics (Nyíregyháza) MSC: 16U60 20C05 16S34 20D08 PDFBibTeX XMLCite \textit{V. A. Bovdi} et al., Rend. Circ. Mat. Palermo (2) 56, No. 1, 125--136 (2007; Zbl 1125.16020) Full Text: DOI arXiv
Bovdi, Victor; Konovalov, Alexander Integral group ring of the first Mathieu simple group. (English) Zbl 1120.16025 Campbell, C.M. (ed.) et al., Groups St. Andrews 2005. Vol. I. Selected papers of the conference, St. Andrews, UK, July 30–August 6, 2005. Cambridge: Cambridge University Press (ISBN 978-0-521-69469-8/pbk). London Mathematical Society Lecture Note Series 339, 237-245 (2007). MSC: 16U60 16S34 20C05 20D08 PDFBibTeX XMLCite \textit{V. Bovdi} and \textit{A. Konovalov}, Lond. Math. Soc. Lect. Note Ser. 339, 237--245 (2007; Zbl 1120.16025) Full Text: arXiv
Bovdi, Victor Symmetric units and group identities in group algebras. I. (English) Zbl 1120.16301 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 22, No. 2, 149-159 (2006). MSC: 16U60 16W10 16S34 20C07 16R50 PDFBibTeX XMLCite \textit{V. Bovdi}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 22, No. 2, 149--159 (2006; Zbl 1120.16301) Full Text: arXiv EuDML
Bovdi, Victor; Juhász, Tibor; Spinelli, Ernesto Modular group algebras with almost maximal Lie nilpotency indices. (English) Zbl 1115.16012 Algebr. Represent. Theory 9, No. 3, 259-266 (2006). MSC: 16S34 17B30 20C05 16W10 20D15 20D30 PDFBibTeX XMLCite \textit{V. Bovdi} et al., Algebr. Represent. Theory 9, No. 3, 259--266 (2006; Zbl 1115.16012) Full Text: DOI arXiv
Bovdi, Victor; Höfert, C.; Kimmerle, W. On the first Zassenhaus conjecture for integral group rings. (English) Zbl 1076.16028 Publ. Math. Debr. 65, No. 3-4, 291-303 (2004). MSC: 16U60 20C05 16S34 PDFBibTeX XMLCite \textit{V. Bovdi} et al., Publ. Math. Debr. 65, No. 3--4, 291--303 (2004; Zbl 1076.16028) Full Text: arXiv
Bovdi, Victor; Dokuchaev, Michael Group algebras whose involutory units commute. (English) Zbl 1002.20003 Algebra Colloq. 9, No. 1, 49-64 (2002). Reviewer: Alexander Zimmermann (Amiens) MSC: 20C07 16S34 16U60 20E07 20F50 PDFBibTeX XMLCite \textit{V. Bovdi} and \textit{M. Dokuchaev}, Algebra Colloq. 9, No. 1, 49--64 (2002; Zbl 1002.20003) Full Text: arXiv
Bovdi, Victor On symmetric units in group algebras. (English) Zbl 0994.16023 Commun. Algebra 29, No. 12, 5411-5422 (2001). Reviewer: Alexander Zimmermann (Amiens) MSC: 16U60 16S34 20C07 20F18 PDFBibTeX XMLCite \textit{V. Bovdi}, Commun. Algebra 29, No. 12, 5411--5422 (2001; Zbl 0994.16023) Full Text: DOI arXiv
Bovdi, Victor On elements in algebras having finite number of conjugates. (English) Zbl 0969.16012 Publ. Math. Debr. 57, No. 1-2, 231-239 (2000). Reviewer: János Kurdics (Nyíregyháza) MSC: 16U60 20F24 16N40 20E07 20C07 16S34 PDFBibTeX XMLCite \textit{V. Bovdi}, Publ. Math. Debr. 57, No. 1--2, 231--239 (2000; Zbl 0969.16012) Full Text: arXiv
Bovdi, Victor; Rosa, A. L. On the order of the unitary subgroup of a modular group algebra. (English) Zbl 0952.16022 Commun. Algebra 28, No. 4, 1897-1905 (2000). Reviewer: Alexander Zimmermann (Amiens) MSC: 16U60 20C05 16S34 PDFBibTeX XMLCite \textit{V. Bovdi} and \textit{A. L. Rosa}, Commun. Algebra 28, No. 4, 1897--1905 (2000; Zbl 0952.16022) Full Text: DOI arXiv
Bovdi, Victor Structure of normal twisted group rings. (English) Zbl 0906.16013 Publ. Math. Debr. 51, No. 3-4, 279-293 (1997). MSC: 16S35 16W10 PDFBibTeX XMLCite \textit{V. Bovdi}, Publ. Math. Debr. 51, No. 3--4, 279--293 (1997; Zbl 0906.16013) Full Text: arXiv
Bovdi, V.; Parmenter, M. M. Symmetric units in integral group rings. (English) Zbl 0881.16019 Publ. Math. Debr. 50, No. 3-4, 369-372 (1997). Reviewer: B.Király (Eger) MSC: 16U60 16S34 20E07 20C07 PDFBibTeX XMLCite \textit{V. Bovdi} and \textit{M. M. Parmenter}, Publ. Math. Debr. 50, No. 3--4, 369--372 (1997; Zbl 0881.16019) Full Text: arXiv
Bovdi, Victor; Kovács, L. G.; Sehgal, S. K. Symmetric units in modular group algebras. (English) Zbl 0846.20007 Commun. Algebra 24, No. 3, 803-808 (1996). Reviewer: A.Zimmermann (Stuttgart) MSC: 20C07 20F50 16U60 16S34 20E07 PDFBibTeX XMLCite \textit{V. Bovdi} et al., Commun. Algebra 24, No. 3, 803--808 (1996; Zbl 0846.20007) Full Text: DOI arXiv Link
Bovdi, Victor Twisted group rings whose units form an FC-group. (English) Zbl 0830.16016 Can. J. Math. 47, No. 2, 274-289 (1995). Reviewer: S.V.Mihovski (Plovdiv) MSC: 16S35 20C07 16U60 20F24 20E07 16N40 PDFBibTeX XMLCite \textit{V. Bovdi}, Can. J. Math. 47, No. 2, 274--289 (1995; Zbl 0830.16016) Full Text: DOI arXiv
Bovdi, Victor; Kovács, L. G. Unitary units in modular group algebras. (English) Zbl 0816.16027 Manuscr. Math. 84, No. 1, 57-72 (1994). Reviewer: T.Mollov (Plovdiv) MSC: 16U60 16S34 20C07 20E07 PDFBibTeX XMLCite \textit{V. Bovdi} and \textit{L. G. Kovács}, Manuscr. Math. 84, No. 1, 57--72 (1994; Zbl 0816.16027) Full Text: DOI arXiv EuDML
Bovdi, Viktor; Rozgonyi, Tibor On the unitary subgroup of modular group algebras. (English) Zbl 0925.16020 Acta Acad. Paedagog. Nyházi., Mat.-Inform. Közl. 13/D, 13-17 (1992). MSC: 16U60 20C05 16S34 PDFBibTeX XMLCite \textit{V. Bovdi} and \textit{T. Rozgonyi}, Acta Acad. Paedagog. Nyházi., Mat.-Inform. Közl. 13/D, 13--17 (1992; Zbl 0925.16020) Full Text: arXiv
Bovdi, V. On the FC-subgroup of the multiplicative group of a twisted group algebra. (Russian. English summary) Zbl 0797.16040 Roomeldi, R. (ed.), Monoids, rings and algebras. Tartu: Tartuskij Universitet, Tartu Ülik. Toim., Mat.-Meh.-Alaseid Töid. 878, 17-22 (1990). MSC: 16U60 20C07 16S35 20F24 20E07 PDFBibTeX XMLCite \textit{V. Bovdi}, in: Monoidy, kol'tsa i algebry. Tartu: Tartuskij Universitet. 17--22 (1990; Zbl 0797.16040)