Zassenhaus conjecture for A 6

Martin Hertweck1
1(Universität Stuttgart)

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Tài liệu tham khảo

Bhandari Ashwani K and Luthar Indar S, Certain conjugacy classes of units in integral group rings of metacyclic groups, J. Number Theory 18(2) (1984) 215–228

Bovdi V, Höfert C and Kimmerle W, On the first Zassenhaus conjecture for integral group rings, Publ. Math. Debrecen 65(3–4) (2004) 291–303

Bovdi V A, Jespers E and Konovalov A B, Integral group ring of the first Janko simple group, manuscript (eprint arXiv:math.GR/0608441)

Bovdi V A and Konovalov A B, Integral group ring of the first Mathieu simple group, Groups St. Andrews 2005, vol. 1, London Math. Soc. Lecture Note Ser., no. 340 (Cambridge: Cambridge Univ. Press) (2007) pp. 237–245

Bovdi V A and Konovalov A B, Integral group ring of the Mathieu simple group M 23, Comm. Algebra, to appear (eprint arXiv:math.RA/0612640)

Bovdi V A, Konovalov A B and Siciliano S, Integral group ring of the Mathieu simple group M 12, Rend. Circ. Mat. Palermo (2) 56(1) (2007) 125–136 (eprint arXiv:math.RA/0612638)

Bovdi Victor and Hertweck Martin, Zassenhaus conjecture for central extensions of S 5, J. Group Theory, 11(1) (2008) 63–74 (eprint arXiv:math.RA/0609435)

Cohn James A and Livingstone Donald, On the structure of group algebras. I, Canad. J. Math. 17 (1965) 583–593

Dokuchaev Michael A, Juriaans Stanley O and Milies César Polcino, Integral group rings of Frobenius groups and the conjectures of H. J. Zassenhaus, Comm. Algebra 25(7) (1997) 2311–2325

The GAP Group, GAP — Groups, Algorithms, and Programming, Version 4.4 (2006) ( http://www.gap-system.org )

Guralnick Robert M and Lorenz Martin, Orders of finite groups of matrices, Groups, Rings and Algebras, A conference in honor of Donald S Passman (eds) W Chin, J Osterburg and D Quinn, Contemp. Math., vol. 420 (Providence, RI: Amer. Math. Soc.) (2006) pp. 141–161

Hertweck Martin, Torsion units in integral group rings of certain metabelian groups, Proc. Edinburgh Math. Soc. (2), to appear

Hertweck Martin, Partial augmentations and Brauer character values of torsion units in group rings, Comm. Algebra, to appear (eprint arXiv:math.RA/0612429v2)

Hertweck Martin, On the torsion units of some integral group rings, Algebra Colloq. 13(2) (2006) 329–348

Höfert Christian and Kimmerle Wolfgang, On torsion units of integral group rings of groups of small order, Groups, rings and group rings, Lect. Notes Pure Appl. Math., vol. 248 (Boca Raton, FL: Chapman & Hall/CRC) (2006) pp. 243–252

Luthar I S and Bhandari A K, Torsion units of integral group rings of metacyclic groups, J. Number Theory 17(2) (1983) 270–283

Luthar I S and Passi I B S, Zassenhaus conjecture for A 5, Proc. Indian Acad. Sci. (Math. Sci.) 99(1) (1989) 1–5

Luthar I S and Sehgal Poonam, Torsion units in integral group rings of some metacyclic groups, Res. Bull. Panjab Univ. Sci. 48(1–4) (1998) 137–153

Luthar I S and Trama Poonam, Zassenhaus conjecture for certain integral group rings, J. Indian Math. Soc. (N.S.) 55(1–4) (1990) 199–212

Luthar I S and Trama Poonam, Zassenhaus conjecture for S 5, Comm. Algebra 19(8) (1991) 2353–2362

Marciniak Z, Ritter J, Sehgal S K and Weiss A, Torsion units in integral group rings of some metabelian groups. II, J. Number Theory 25(3) (1987) 340–352

Salim Mohamed Ahmed M, Torsion units in the integral group ring of the alternating group of degree 6, Comm. Algebra 35(12) (2007) 4198–4204