Results 81 to 90 of about 8,502,672 (103)
Computing the nonabelian tensor squares of polycyclic groups [PDF]
Journal of Algebra, 2009 In this paper we develop a theory for computing the nonabelian tensor square and related computations for finitely presented groups and specialize it to polycyclic groups.
Robert Fitzgerald Morse
exaly +2 more sources
On finite nonabelian 2-groups all of whose minimal nonabelian subgroups are of exponent 4 [PDF]
Journal of Algebra, 2007 In Theorem 2.3 we determine finite 2-groups all of whose minimal nonabelian subgroups are of order 8 (i.e., they are isomorphic to D8 or Q8). In Corollary 2.4 we determine finite 2-groups all of whose minimal nonabelian subgroups are isomorphic and have ...
Janko, Zvonimir
exaly +2 more sources
2-Blocks with minimal nonabelian defect groups [PDF]
Journal of Algebra, 2011 We study numerical invariants of 2-blocks with minimal nonabelian defect groups. These groups were classified by Rédei (see Rédei, 1947 [41]). If the defect group is also metacyclic, then the block invariants are known (see Sambale [43]).
Benjamin Sambale
exaly +2 more sources
Finite nonabelian 2-groups all of whose minimal nonabelian subgroups are metacyclic and have exponent 4 [PDF]
Journal of Algebra, 2009 We classify here the title groups and note that such groups must be of exponent >4 if both D8 and H2=〈a,b|a4=b4=1,ab=a−1〉 appear as subgroups (Theorem 1.1). This solves a problem stated by Y. Berkovich in [Y. Berkovich, Groups of Prime Power Order, I and
Janko, Zvonimir
exaly +2 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
AIP Conference Proceedings, 2014
Torsion free crystallographic groups, called Bieberbach groups, appear as fundamental groups of compact, connected, flat Riemannian manifolds and have many interesting properties. New properties of the group can be obtained by, not limited to, exploring the groups and by computing their homological functors such as nonabelian tensor squares, the ...
Tan Yee Ting +4 more
openaire +1 more source
Torsion free crystallographic groups, called Bieberbach groups, appear as fundamental groups of compact, connected, flat Riemannian manifolds and have many interesting properties. New properties of the group can be obtained by, not limited to, exploring the groups and by computing their homological functors such as nonabelian tensor squares, the ...
Tan Yee Ting +4 more
openaire +1 more source
Strong indecomposability of the outer automorphism groups of nonabelian free profinite groups
Journal of Group TheoryAbstract In this paper, we prove that the outer automorphism groups of nonabelian topologically finitely generated free profinite groups are strongly indecomposable. This means that no open subgroup has a nontrivial direct product decomposition.
Arata Minamide, Shota Tsujimura
openaire +1 more source
On the normality of Cayley digraphs of valency 2 on nonabelian groups of odd square free order
Australas. J Comb., 2000Let \(G\) be a finite group and let \(S\) be a subset of \(G\). The Cayley digraph \(\Gamma=\text{Cay}(G,S)\) has \(V(\Gamma)=G\) as set of vertices and \(E(\Gamma)=\{(g,sg): g\in G,\;s\in S\}\) as set of arcs. It is well known that \(\Gamma\) is strongly connected if and only if \(S\) is a generating set of \(G\) and that the right regular ...
Jiong-Sheng Li, Ping Wang
openaire +2 more sources
PROFINITE GROUPS THAT ACT ON TREES AND DO NOT HAVE FREE NONABELIAN PRO-p-SUBGROUPS
Mathematics of the USSR-Sbornik, 1991openaire +1 more source