Now showing items 1-10 of 145241
Automorphism Groups of Generalized (Binary) Icosahedral, Tetrahedral and Octahedral Groups
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2011)
Let G be any of the (binary) icosahedral, generalized octahedral (tetrahedral) groups or their quotients by the center. We calculate the automorphism group Aut(G).
On subdirect products of free pro-p groups and Demushkin groups of infinite depth
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2011)
Twisted conjugacy classes in symplectic groups, mapping class groups and braid groups (with an appendix written jointly with Francois Dahmani)
We prove that the symplectic group Sp(2n, Z) and the mapping class group Mod(S) of a compact surface S satisfy the R(infinity) property. We also show that B(n)(S), the full braid group on n-strings of a surface S, satisfies ...
Abelian torsion groups with a countably compact group topology
(ELSEVIER SCIENCE BV, 2010)
Comfort and Remus [W.W. Comfort, D. Remus, Abelian torsion groups with a pseudo-compact group topology, Forum Math. 6 (3) (1994) 323-337] characterized algebraically the Abelian torsion groups that admit a pseudocompact ...
On cohomologies and extensions of cyclic groups
(ELSEVIER SCIENCE BV, 2011)
Cohomology groups H(s)(Z(n), Z(m)) are studied to describe all groups up to isomorphism which are (central) extensions of the cyclic group Z(n) by the Z(n)-module Z(m). Further, for each such a group the number of ...
Collective intelligence and group performance
(Sage Publications Inc, 2015-12)
We review recent research on collective intelligence, which we define as the ability of a group to perform a wide variety of tasks. We focus on two influences on a group's collective intelligence: (a) group composition ...
Hyperbolic unit groups and quaternion algebras
(INDIAN ACAD SCIENCES, 2009)
We classify the quadratic extensions K = Q[root d] and the finite groups G for which the group ring o(K)[G] of G over the ring o(K) of integers of K has the property that the group U(1)(o(K)[G]) of units of augmentation 1 ...
Abelian-by-polycyclic groups of homological type FP3
(Walter De Gruyter & CoBerlinAlemanha, 2008)
Star-group identities and groups of units
(BIRKHAUSER VERLAG AG, 2010)
Analogous to *-identities in rings with involution we define *-identities in groups. Suppose that G is a torsion group with involution * and that F is an infinite field with char F not equal 2. Extend * linearly to FG. We ...
SIGMA THEORY AND TWISTED CONJUGACY CLASSES
(PACIFIC JOURNAL MATHEMATICSEstados Unidos, 2010)