Computational group theory and the theory of groups: AMS Special Session on Computational Group Theory, March 3-4, 2007, Davidson College, Davidson, North Carolina / ed. by L.-C.Kappe, A.Magidin, R.F.Morse. - Providence: American Mathematical Society, 2008. - vii, 286 p.: ill. - (Contemporary mathematics; 470). - Incl. bibl. ref. - ISBN 978-0-8218-4365-9  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Preface ....................................................... vii On the application of computational group theory to the theory of groups Robert Fitzgerald Morse ...................................... 1 A classification of certain maximal subgroups of alternating groups Bret Benesh ................................................. 21 On the nonabelian tensor squares of free nilpotent groups of finite rank Russell D. Blyth, Primož Moravec, and Robert Fitzgerald Morse ....................................................... 27 Investigating p-groups by coclass with GAP Heiko Dietrich, Bettina Eick, and Dorte Feichtenschlager .... 45 Homological algebra programming Graham Ellis ................................................ 63 Groups with a finite covering by isomorphic abelian subgroups Tuval S. Foguel and Matthew F. Ragland ...................... 75 On some subnormality conditions in metabelian groups David Garrison and Luise-Charlotte Kappe .................... 89 Normalizer calculation using automorphisms Alexander Hulpke ........................................... 105 Group Theory in SAGE David Joyner and David Kohel ............................... 115 Simultaneous constructions of the sporadic groups CO2 and Fi22 Hyun Kyu Kim and Gerhard O. Michler ........................ 141 Constructing simple groups from irreducible subgroups of GLn(2) Gerhard O. Michler ......................................... 235 Dickson polynomials and the norm map between the Hecke algebras of Gelfand-Graev representations Julianne G. Rainbolt ....................................... 263 On orbit equivalent, two-step imprimitive permutation groups Ákos Seress and Keyan Yang ................................. 271