Groups St Andrews 1997 in Bath: Volume 1 [Minkštas viršelis]

Volume I Introduction ix Radical rings and products of groups 1(19) B Amberg Y P Sysak Homogeneous integral table algebras of degrees two, three and four with a faithful element 20(10) Z Arad A polynomial-time theory of black box groups I 30(35) L Babai R Beals Totally and mutually permutable products of finite groups 65(4) A Ballester-Bolinches M D Perez-Ramos M C Pedraza-Aguilera Ends and algebraic directions of pseudogroups 69(12) A Bis On locally nilpotent groups with the minimal condition on centralizers 81(4) V Bludov Infinite groups in projective and symplectic geometry 85(39) F Bogomolov L Katzarkov Non-positive curvature in group theory 124(52) M R Bridson Group-theoretic applications of non-commutative toric geometry 176(19) C J B Brookes Theorems of Kegel-Wielandt type 195(7) A Carocca R Maier Singly generated radicals associated with varieties of groups 202(9) C Casacuberta J L Rodriguez D Scevenels The word problem in groups of cohomological dimension 2 211(8) D J Collins C F Miller III Polycyclic-by-finite groups: from affine to polynomial structures 219(18) K Dekimpe On groups with rank restrictions on subgroups 237(11) M R Dixon M J Evans H Smith On distances of multiplication tables of groups 248(5) A Drapal The Dade conjecture for the McLaughlin group 253(14) G Entz H Pahlings Automorphism groups of certain non-quasiprimitive almost simple graphs 267(8) X G Fang G Haves J Wang Subgroups of the upper-triangular matrix group with maximal derived length and a minimal number of generators 275(7) S P Glasby On p-pronormal subgroups of finite p-soluble groups 282(8) M Gomez-Fernandez On the system of defining relations and the Schur multiplier of periodic groups generated by finite automata 290(28) R I Grigorchuk On the dimension of groups acting on buildings 318(11) J Harlander Dades conjecture for the simple Higman-Sims group 329(17) N M Hassan E Horvath On the F*-theorem 346(7) M Hertweck W Kimmerle Covering numbers for groups 353(3) M Herzog Characterizing subnormally closed formations 356(7) M C Hofmann Symmetric words in a free nilpotent group of class 5 363(5) W Holubowski A non-residually finite square of finite groups 368(11) T Hsu D T Wise Volume II Introduction ix Galosis groups through invariant relations 379(15) J A Hulpke Construction of Co3. An example of the use of an integrated system for computational group theory 394(16) J A Hulpke S A Linton Embedding some recursively presented groups 410(7) D L Johnson The Dedekind-Frobenius group determinant: new life in an old problem 417(12) K W Johnson Group characters and π-sharpness 429(7) K W Johnson E Poimenidou Permutation group algorithms via black box recognition algorithms 436(11) W M Kantor A Seress Nonabelian tensor products of groups: the commutator connection 447(8) L-C Kappe Simple subalgebras of generalized Witt algebras of characteristic zero 455(5) N Kawamoto Applications of the Baker-Hausdorff formula in the theory of finite p-groups 460(14) E I Khukhro Generalizations of the restricted Burnside problem for groups with automorphisms 474(18) E I Khukhro The Σm-conjecture for a class of metabelian groups 492(11) D H Kochloukova Rings with periodic groups of units II 503(9) J Krempa Some free-by-cyclic groups 512(5) I J Leary G A Niblo D T Wise The residually weakly primitive geometries of the Suzuki simple group Sz(8) 517(10) D Leemans Semigroup identities and Engel groups 527(5) P Longobardi M Maj Groups whose elements have given orders 532(6) V D Mazurov W J Shi The Burnside groups and small cancellation theory 538(22) J P McCammond Solvable Engel groups with nilpotent normal closures 560(8) R F Morse Nilpotent injectors in finite groups 568(3) A Neumann Some groups with right Engel elements 571(8) W Nickel The growth of finite subgroups in p-groups 579(17) A Yu Olshanskii Symplectic amalgams and extremal subgroups 596(9) C Parker P Rowley Primitive prime divisor elements in finite classical groups 605(19) C E Praeger On the classification of generalized Hamiltonian groups 624(9) D M Reboli Permutability properties of subgroups 633(6) D J S Robinson When Schreier transversals grow wild 639(9) A Rosenmann Probabilistic group theory 648(31) A Shalev Combinatorial methods: from groups to polynomial algebras 679(10) V Shpilrain Formal languages and the word problem for groups 689(12) I A Stewart R M Thomas Periodic cohomology and free and proper actions on Rn x Sm 701(17) O Talelli On modules over group rings of soluble groups of finite rank 718(10) A V Tushev On some series of normal subgroups of the Gupta-Sidki 3-group 728 A C Vieira