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LAGUNA bibliography
    Independent citations

  1. Zh. Balogh, Yuanlin Li. On the derived length of the group of units of a group algebra, J. Algebra Appl. 6 (2007), no. 6, 991--999.
  2. Zh. Balogh. Filtered multiplicative basis and group of units of group algebras. PhD thesis, University of Debrecen, 2005.
  3. K. Brommann. XiStrat manual (http://xistrat.sourceforge.net/docbook/index.xhtml)
  4. L. Creedon. The Units of Modular Group Algebras. PhD thesis, University of Alberta, 2000.
  5. J.Gildea, The Special Circulant Matrix and Units in Group Rings, Acta Mathematica Academiae Paedagogiace Nyiregyhaziensis, vol.24 (2008), 221--225.
  6. J.Gildea, On The Order of U(F2k D10) when 5 | (2k-1), Proceedings of the 5th International Conference of Applied Mathematics and Computing (Plovdiv, August 2008), to appear.
  7. M. Gupta. Weight of a group and unit group of group rings. PhD thesis, Indian Institute of Technology Delhi (IITD), 2008.
  8. M.Hertweck, A note on the modular group algebras of odd p-groups of M-length three, Publ. Math. Debrecen 71 (2007), no. 1-2, 83--93.
  9. M.Hertweck and M.Soriano. On the modular isomorphism problem: groups of order 26. Groups, rings and algebras, 177--213, Contemp. Math., 420, Amer. Math. Soc., Providence, RI, 2006. MR2279240.
  10. C.Höfert, W.Kimmerle. On torsion units of integral group rings of groups of small order. In Groups, rings and group rings, p.243-252, Lect. Notes Pure Appl. Math., 248, Chapman & Hall/CRC, Boca Raton, FL, 2006. MR2226199. Also available as: University of Stuttgart. Preprint 2005/003 (http://www.mathematik.uni-stuttgart.de/preprints/downloads/2005/2005-003.pdf).
  11. T.Juhász. On the Derived Length of Lie Solvable Group Algebras. PhD thesis, University of Debrecen, 2006.
  12. W.Kimmerle. On the prime graph of the unit group of integral group rings of finite groups. In Groups, rings and algebras, p.215-228, Contemp. Math., 420, Amer. Math. Soc., Providence, RI, 2006. MR2279241.
  13. G.Olteanu, Á. del Río. An algorithm to compute the Wedderburn decomposition of semisimple group algebras implemented in the GAP package Wedderga. J. Symbolic Computation 44 (2009), 507-516

  14. M.Salim. Torsion units in the integral group ring of the alternating group of degree 6, Comm. Algebra 35 (2007), no. 12, 4198--4204.
  15. E.Spinelli. Lie properties of modular group algebras and restricted universal enveloping algebras. PhD thesis, University of Lecce, 2005.
  16. A.Tsapok. Computer investigations of modular group algebras. Actual problems of mathematics and computer science. Abstracts of the 2nd regional scientific conference of young researchers. Zaporozhye, Ukraine, April 22-23, 2004, p.31-32.
  17. A.G.Tsapok Symmetric subgroups of the unit group of the modular group algebra of a finite p-group. X International Scientific Kravchuk Conference, 13-15 May 2004, Kyiv. Conference materials. p.545.
  18. A.G.Tsapok The isomorphism problem for unit groups of modular group algebras of 2-groups of order not greater then 16. Actual problems of mathematics and computer science. Abstracts of the 3rd regional scientific conference of young researchers. Zaporozhye, Ukraine, April 21-22, 2005, p.28.

    19. Other citations

  19. V.Bovdi. Modular group algebras with almost maximal Lie nilpotency indices II. Scientiae Mathematicae Japonicae 65 (2007), no. 2, 267--271.
  20. V.Bovdi, M.Hertweck. Zassenhaus conjecture for central extensions of S5. J. Group Theory 11 (2008), no. 1, 63--74.
  21. V.Bovdi, C.Höfert, W.Kimmerle. On the first Zassenhaus conjecture for integral group rings. Publ. Math. Debrecen 65 (2004), no. 3-4, 291-303 (http://arxiv.org/abs/math.GR/0507246).
  22. V.Bovdi, E.Jespers, A.Konovalov. Integral group ring of the first Janko simple group. Preprint (http://arxiv.org/abs/math.GR/0608441).
  23. V.Bovdi, A.Konovalov. Integral group ring of the first Mathieu simple group, Groups St. Andrews 2005. Vol. 1, 237--245, London Math. Soc. Lecture Note Ser., 339, Cambridge Univ. Press, Cambridge, 2007. http://arxiv.org/abs/math.RA/0605319.
  24. V.Bovdi, A.Konovalov. Integral group ring of the McLaughlin simple group, Algebra Discrete Math. 2007, no. 2, 43--53.
  25. V.Bovdi, A.Konovalov, S.Linton. Torsion units in integral group ring of the Mathieu simple group M22, LMS J. Comput. Math. 11 (2008), 28--39.
  26. V.Bovdi, A.Konovalov. Integral group ring of the Mathieu simple group M23, Comm. Algebra 36 (2008), no. 7, 2670--2680. http://arxiv.org/abs/math.RA/0605319.
  27. V.Bovdi, A.Konovalov, E.N.Marcos. Integral group ring of the Suzuki sporadic simple group, Publ. Math. Debrecen 72 (2008), no. 3-4, 487--503.
  28. V.Bovdi, A.Konovalov, C.Schneider and R.Rossmanith: Investigations in unit groups of modular group algebras using the GAP4 package LAGUNA 3.0. 4th International Algebraic Conference in Ukraine. Abstracts. Lviv, Ukraine, August 4-9, 2003, p.52-53.
  29. V.Bovdi, A.Konovalov, S.Siciliano. Integral group ring of the Mathieu simple group M12, Rend. Circ. Mat. Palermo (2) 56 (2007), no. 1, 125--136.
  30. N.Boyko, A.Konovalov and E.Shepel. Wreath products in the unit group of the modular group algebra of the group G(32,15). Actual problems of mathematics and computer science. Abstracts of the 2nd regional scientific conference of young researchers. Zaporozhye, Ukraine, April 22-23, 2004, p.32-33.
  31. Yu.Boyko, A.Gnezdovsky and A.Konovalov. Investigation of linearly independent subgroups of unit groups of modular group algebras of finite 2-groups. Actual problems of mathematics and computer science. Abstracts of the 2nd regional scientific conference of young researchers. Zaporozhye, Ukraine, April 22-23, 2004, p.24-25.
  32. D.Joyner, A.Konovalov. Applications of the computer algebra system GAP in coding theory. 2nd International conference "Modern coding methods in electronic systems". October 26-27, 2004, Sumy, Ukraine. Abstracts. Sumy University Publishers, Sumy, 2004, p.18-19.
  33. W.Kimmerle, A.Konovalov. An algorithm for the embedding of the given p-group into the normalised unit group of the modular group algebra of a finite p-group. International Conference on Algebras, Modules and Rings. Abstracts. Lisboa, Portugal, July 14-18, 2003, p.45-46.
  34. A.Konovalov. Computer investigations of the modular isomorphism problem. Groups and Group Rings XI, Bedlewo (near Poznan), Poland, June 04-11, 2005. Abstracts, p.14.
  35. A.Konovalov, A.Krivokhata. On the isomorphism problem for unit groups of modular group algebras. Acta Sci. Math. (Szeged) 73 (2007), no. 1-2, 53--59. (http://arxiv.org/abs/math.RA/0607287)
  36. A.Konovalov, D.Lysenko and A.A.Sudakov. Investigation of the modular isomorphism problem using the computer algebra system GAP. Actual problems of mathematics and computer science. Abstracts of the 2nd regional scientific conference of young researchers. Zaporozhye, Ukraine, April 22-23, 2004, p.28-29.
  37. A.Konovalov, A.Tsapok. Symmetric subgroups of the normalised unit group of the modular group algebra of a finite p-group, Nauk. Visn. Uzhgorod. Univ., Ser. Mat., 9 (2004), p.20-24.
  38. A.Konovalov, A.Tsapok. The isomorphism problem for unit groups of modular group algebras of 2-groups of orders 16 and 32. 5th International Algebraic Conference in Ukraine (Odessa, Ukraine, July 20-27, 2005). Abstracts, p.104.
  39. A.Konovalov, E.Yakimenko. GAP package UnitLib - the library of normalized unit groups of modular group algebras, Version 2.0 (http://homepages.vub.ac.be/~okonoval/unitlib.htm)
  40. C.Schneider. GAP package Sophus - Computing in nilpotent Lie algebras (http://www.sztaki.hu/~schneider/Research/Sophus/).
Last updated: 14 October, 2008
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