Results 31 to 40 of about 5,422,708 (286)
The Dade group of (almost) extraspecial $p$-groups. [PDF]
, 2004 In this paper, we determine a presentation by explicit generators and relations for the Dade group of all (almost) extraspecial $p$-groups. The proof of the main result uses the cohomological properties of the Tits building corresponding to the natural ...
Mazza, Nadia, Bouc, Serge
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Refined solvable presentations for polycyclic groups [PDF]
International Journal of Group Theory, 2012 We describe a new type of presentation that, when consistent, describes a polycyclic group. This presentation is obtained by re ning a series of normal subgroups with abelian sections.
René Hartung, Gunnar Traustason
doaj
Tarski’s problem for solvable groups [PDF]
Proceedings of the American Mathematical Society, 1986 In this paper, we show that the free solvable groups (as well as the free nilpotent groups) of finite rank have different elementary theories (i.e., they do not satisfy the same first order sentences of group theory). This result is obtained using a result in group theory (probably due to Malcev and following immediately from a theorem of Auslander and
Rogers, Pat +2 more
openaire +1 more source
GRUPOS DE PERMUTAÇÕES E GRUPOS FINITOS SIMPLES
Colloquium Exactarum, 2011 The normality of subgroups in a finite group has a property discovered by E. Galois in 1832, study-group of permutations of roots of polynomial equations.
Lauro Maycon Fernandes Ferreira +2 more
doaj +1 more source
Classifying Character Degree Graphs with Seven Vertices [PDF]
Advances in Group Theory and ApplicationsWe study here the graphs with seven vertices in an effort to classify which of them appear as the prime character degree graphs of finite solvable groups. This classification is complete for the disconnected graphs.
Jacob Laubacher +2 more
doaj +1 more source
On homogeneous spaces with finite anti-solvable stabilizers
Comptes Rendus. Mathématique, 2022 We say that a group is anti-solvable if all of its composition factors are non-abelian. We consider a particular family of anti-solvable finite groups containing the simple alternating groups for $n\ne 6$ and all 26 sporadic simple groups. We prove that,
Lucchini Arteche, Giancarlo
doaj +1 more source
Some results on π-solvable and supersolvable groups
International Journal of Mathematics and Mathematical Sciences, 1994 For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π-solvable, p-solvable and supersolvable groups with the help of the structures of these subgroups.
T. K. Dutta, A. Bhattacharyya
doaj +1 more source
Finite Almost Simple Groups whose Holomorph Contains a Solvable Regular Subgroup [PDF]
Advances in Group Theory and ApplicationsIn our previous paper, we gave a complete list of the finite non-abelian simple groups whose holomorph contains a solvable regular subgroup. In this paper, we refine our previous work by considering all finite almost simple groups.
Cindy (Sin Yi)Tsang
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben +4 more
wiley +1 more source
Generation problems for finite groups [PDF]
, 2012 It can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then given any generating set A for G there exists a subset of A of size r that generates G. We have denoted this property B.
McDougall-Bagnall, Jonathan M.
core +2 more sources