Marciniak, Zbigniew; Sehgal, Sudarshan K. Constructing free products of cyclic subgroups inside the group of units of integral group rings. (English) Zbl 1514.20020 Proc. Am. Math. Soc. 151, No. 4, 1487-1493 (2023). MSC: 20C05 16U60 16S34 20E06 PDFBibTeX XMLCite \textit{Z. Marciniak} and \textit{S. K. Sehgal}, Proc. Am. Math. Soc. 151, No. 4, 1487--1493 (2023; Zbl 1514.20020) Full Text: DOI
Jespers, Eric (ed.); Kimmerle, Wolfgang (ed.); Marciniak, Zbigniew (ed.); Nebe, Gabriele (ed.) Mini-workshop: Arithmetic of group rings. Abstracts from the mini-workshop held November 25 – December 1, 2007. (Mini-workshop: Arithmetik von Gruppenringen.) (English) Zbl 1177.16002 Oberwolfach Rep. 4, No. 4, 3209-3240 (2007). MSC: 16-06 20-06 16S34 20C05 20C07 16U60 00B05 PDFBibTeX XMLCite \textit{E. Jespers} (ed.) et al., Oberwolfach Rep. 4, No. 4, 3209--3240 (2007; Zbl 1177.16002) Full Text: DOI Link
Marciniak, Zbigniew; Sehgal, Sudarshan K. Generic units in \(\mathbb{Z} C\). (English) Zbl 1110.16034 Giambruno, Antonio (ed.) et al., Groups, rings and group rings. Proceedings of the conference, Ubatuba, Brazil, July 26–31, 2004. In honor of the 60th birthday of Prof. César Polcino Milies. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-581-5/pbk). Lecture Notes in Pure and Applied Mathematics 248, 279-286 (2006). Reviewer: Michael Dokuchaev (Murcia) MSC: 16U60 20C05 16S34 12E10 PDFBibTeX XMLCite \textit{Z. Marciniak} and \textit{S. K. Sehgal}, Lect. Notes Pure Appl. Math. 248, 279--286 (2006; Zbl 1110.16034)
Marciniak, Zbigniew; Sehgal, Sudarshan K. Generic units in Abelian group rings. (English) Zbl 1087.16018 J. Group Theory 8, No. 6, 777-799 (2005). Reviewer: Jürgen Ritter (Augsburg) MSC: 16U60 20C05 16S34 12E10 PDFBibTeX XMLCite \textit{Z. Marciniak} and \textit{S. K. Sehgal}, J. Group Theory 8, No. 6, 777--799 (2005; Zbl 1087.16018) Full Text: DOI
Marciniak, Zbigniew; Sehgal, Sudarshan K. The unit group of \(1+\Delta(G)\Delta(A)\) is torsion-free. (English) Zbl 1044.16027 J. Group Theory 6, No. 2, 223-228 (2003). Reviewer: Inder Bir Singh Passi (Allahabad) MSC: 16U60 20C05 16S34 PDFBibTeX XMLCite \textit{Z. Marciniak} and \textit{S. K. Sehgal}, J. Group Theory 6, No. 2, 223--228 (2003; Zbl 1044.16027) Full Text: DOI
Marciniak, Z. S.; Roggenkamp, K. W. The normalizer of a finite group in its integral group ring and Čech cohomology. (English) Zbl 0989.20002 Roggenkamp, Klaus W. (ed.) et al., Algebra - representation theory. Proceedings of the NATO Advanced Study Institute, Constanta, Romania, August 2-12, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 28, 159-188 (2001). Reviewer: Alexander Zimmermann (Amiens) MSC: 20C05 20J06 16S34 16U60 PDFBibTeX XMLCite \textit{Z. S. Marciniak} and \textit{K. W. Roggenkamp}, NATO Sci. Ser. II, Math. Phys. Chem. 28, 159--188 (2001; Zbl 0989.20002)
Marciniak, Zbigniew S.; Sehgal, Sudarshan K. Corrigendum: Torsion matrices over Abelian group rings. (English) Zbl 0967.16019 J. Group Theory 4, No. 1, 109-111 (2001). MSC: 16U60 20C05 16S34 PDFBibTeX XMLCite \textit{Z. S. Marciniak} and \textit{S. K. Sehgal}, J. Group Theory 4, No. 1, 109--111 (2001; Zbl 0967.16019) Full Text: DOI
Marciniak, Zbigniew S.; Sehgal, Sudarshan K. Torsion matrices over Abelian group rings. (English) Zbl 0943.16013 J. Group Theory 3, No. 1, 67-75 (2000). Reviewer: A.Zimmermann (Amiens) MSC: 16U60 20C05 16S34 PDFBibTeX XMLCite \textit{Z. S. Marciniak} and \textit{S. K. Sehgal}, J. Group Theory 3, No. 1, 67--75 (2000; Zbl 0943.16013) Full Text: DOI
Marciniak, Zbigniew S.; Sehgal, Sudarshan K. Units in group rings and geometry. (English) Zbl 0944.16029 Drensky, Vesselin S. (ed.) et al., Methods in ring theory. Proceedings of the Trento conference, Trento, Italy. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 198, 185-198 (1998). Reviewer: Michael Dokuchaev (Sao Paulo) MSC: 16U60 16S34 20C07 20E07 20F05 20H15 PDFBibTeX XMLCite \textit{Z. S. Marciniak} and \textit{S. K. Sehgal}, Lect. Notes Pure Appl. Math. 198, 185--198 (1998; Zbl 0944.16029)
Marciniak, Zbigniew S.; Sehgal, Sudarshan K. Subnormal subgroups of group ring units. (English) Zbl 0894.16016 Proc. Am. Math. Soc. 126, No. 2, 343-348 (1998). Reviewer: A.Zimmermann (Amiens) MSC: 16U60 20E07 16S34 20C07 20E15 PDFBibTeX XMLCite \textit{Z. S. Marciniak} and \textit{S. K. Sehgal}, Proc. Am. Math. Soc. 126, No. 2, 343--348 (1998; Zbl 0894.16016) Full Text: DOI
Marciniak, Zbigniew S.; Sehgal, Sudarshan K. Zassenhaus conjecture for infinite groups. (English) Zbl 0906.16017 Dlab, Vlastimil (ed.) et al., Trends in ring theory. Proceedings of a conference at Miskolc, Hungary, July 15–20, 1996. Providence, RI: American Mathematical Society. CMS Conf. Proc. 22, 99-111 (1998). Reviewer: S.V.Mihovski (Plovdiv) MSC: 16U60 16S34 20C07 20F18 PDFBibTeX XMLCite \textit{Z. S. Marciniak} and \textit{S. K. Sehgal}, CMS Conf. Proc. 22, 99--111 (1998; Zbl 0906.16017)
Marciniak, Zbigniew S.; Sehgal, Sudarshan K. Constructing free subgroups of integral group ring units. (English) Zbl 0869.16020 Proc. Am. Math. Soc. 125, No. 4, 1005-1009 (1997). Reviewer: A.A.Bovdi (Debrecen) MSC: 16U60 20E07 20C07 16S34 PDFBibTeX XMLCite \textit{Z. S. Marciniak} and \textit{S. K. Sehgal}, Proc. Am. Math. Soc. 125, No. 4, 1005--1009 (1997; Zbl 0869.16020) Full Text: DOI
Marciniak, Zbigniew Units in group rings. (Polish) Zbl 0959.20001 Rocz. Pol. Tow. Mat., Ser. II, Wiadom. Mat. 33, 47-51 (1997). Reviewer: Jan Okniński (Warszawa) MSC: 20C05 16U60 16S34 PDFBibTeX XMLCite \textit{Z. Marciniak}, Rocz. Pol. Tow. Mat., Ser. II, Wiad. Mat. 33, 47--51 (1997; Zbl 0959.20001)
Marciniak, Zbigniew S.; Sehgal, Sudarshan K. Zassenhaus conjecture and infinite nilpotent groups. (English) Zbl 0859.16024 J. Algebra 184, No. 1, 207-212 (1996). Reviewer: A.Zimmermann (Amiens) MSC: 16U60 20C07 20F18 16S34 20E07 20E36 PDFBibTeX XMLCite \textit{Z. S. Marciniak} and \textit{S. K. Sehgal}, J. Algebra 184, No. 1, 207--212 (1996; Zbl 0859.16024) Full Text: DOI
Marciniak, Zbigniew S.; Sehgal, Sudarshan K. Finite matrix groups over nilpotent group rings. (English) Zbl 0847.16016 J. Algebra 181, No. 2, 565-583 (1996). Reviewer: A.A.Bovdi (Debrecen) MSC: 16S34 16U60 20G15 20F18 20C07 20E07 PDFBibTeX XMLCite \textit{Z. S. Marciniak} and \textit{S. K. Sehgal}, J. Algebra 181, No. 2, 565--583 (1996; Zbl 0847.16016) Full Text: DOI
Marciniak, Zbigniew S.; Sehgal, Sudarshan K. Hirsch induction and torsion units in group rings. (English) Zbl 0823.16021 Arch. Math. 64, No. 5, 374-384 (1995). Reviewer: Z.S.Marciniak (Warszawa) MSC: 16U60 20F16 20C07 16S34 20F19 20E07 PDFBibTeX XMLCite \textit{Z. S. Marciniak} and \textit{S. K. Sehgal}, Arch. Math. 64, No. 5, 374--384 (1995; Zbl 0823.16021) Full Text: DOI
Bovdi, Adalbert; Marciniak, Zbigniew; Sehgal, Sudarshan K. Torsion units in infinite group rings. (English) Zbl 0804.16036 J. Number Theory 47, No. 3, 284-299 (1994). Reviewer: J.Ritter (Augsburg) MSC: 16U60 16S34 20C07 20F18 15A21 PDFBibTeX XMLCite \textit{A. Bovdi} et al., J. Number Theory 47, No. 3, 284--299 (1994; Zbl 0804.16036) Full Text: DOI
Krempa, Jan; Marciniak, Zbigniew Group rings. (Polish) Zbl 0733.16010 Rocz. Pol. Tow. Mat., Ser. II, Wiadom. Mat. 28, No. 2, 137-148 (1990). Reviewer: S.Balcerzyk (Toruń) MSC: 16S34 20C07 16U60 20C05 PDFBibTeX XMLCite \textit{J. Krempa} and \textit{Z. Marciniak}, Rocz. Pol. Tow. Mat., Ser. II, Wiad. Mat. 28, No. 2, 137--148 (1990; Zbl 0733.16010)
Marciniak, Z.; Ritter, J.; Sehgal, S. K.; Weiss, A. Torsion units in integral group rings of some metabelian groups. II. (English) Zbl 0611.16007 J. Number Theory 25, 340-352 (1987). Reviewer: H.A.Merklen MSC: 16U60 16S34 20C05 PDFBibTeX XMLCite \textit{Z. Marciniak} et al., J. Number Theory 25, 340--352 (1987; Zbl 0611.16007) Full Text: DOI
Marciniak, Zbigniew Cyclic homology of group rings. (English) Zbl 0637.16015 Geometric and algebraic topology, Banach Cent. Publ. 18, 305-312 (1986). Reviewer: M.Golasiński MSC: 16Exx 16S34 16E40 20J05 PDFBibTeX XML
Marciniak, Zbigniew Cyclic homology and idempotents in group rings. (English) Zbl 0609.16006 Transformation groups, Proc. Symp., Poznań/Pol. 1985, Lect. Notes Math. 1217, 253-257 (1986). Reviewer: St.Papadima MSC: 16S34 16U99 16E40 PDFBibTeX XML
Marciniak, Zbigniew S. Idempotents in group rings. (English) Zbl 0513.16009 Math. Z. 184, 19-27 (1983). MSC: 16S34 16U99 PDFBibTeX XMLCite \textit{Z. S. Marciniak}, Math. Z. 184, 19--27 (1983; Zbl 0513.16009) Full Text: DOI EuDML
Farkas, Daniel R.; Marciniak, Zbigniew S. Idempotents in group rings: A surprise. (English) Zbl 0512.16010 J. Algebra 81, 266-267 (1983). MSC: 16S34 16U99 16D40 PDFBibTeX XMLCite \textit{D. R. Farkas} and \textit{Z. S. Marciniak}, J. Algebra 81, 266--267 (1983; Zbl 0512.16010) Full Text: DOI
Farkas, Daniel R.; Marciniak, Zbigniew S. Lifting idempotents in group rings. (English) Zbl 0482.16012 J. Pure Appl. Algebra 25, 25-32 (1982). MSC: 16S34 16U99 PDFBibTeX XMLCite \textit{D. R. Farkas} and \textit{Z. S. Marciniak}, J. Pure Appl. Algebra 25, 25--32 (1982; Zbl 0482.16012) Full Text: DOI