Results 11 to 20 of about 6,757,466 (293)
Extensions of Finite Quantum Groups by Finite Groups [PDF]
Transformation Groups, 2008 We give a necessary and sufficient condition for two Hopf algebras presented as central extensions to be isomorphic, in a suitable setting. We then study the question of isomorphism between the Hopf algebras constructed in 0707.0070v1 as quantum subgroups of quantum groups at roots of 1.
Andruskiewitsch, N., García, G. A.
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On structural aspects of finite simple groups of Lie type [PDF]
, 2011 PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
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On commutativity and finiteness in groups [PDF]
Bulletin of the Brazilian Mathematical Society, New Series, 2009 22 ...
Oliveira, Ricardo N., Sidki, Said N.
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The maximal subgroups of the classical groups in dimension 13, 14 and 15 [PDF]
, 2015 One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is of great importance to have a ...
Schröder, Anna Katharina
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Finiteness properties of profinite groups [PDF]
, 2010 PhDBroadly speaking, a finiteness property of groups is any generalisation of the property of having finite order. A large part of infinite group theory is concerned with finiteness properties and the relationships between them. Profinite groups are an
Reid, Colin David
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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.
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Journal of Symbolic Computation, 1999 The authors give an algorithm to determine all groups of a given order up to isomorphism. Following a suggestion of \textit{W. Gaschütz} [Math. Z. 58, 160-170 (1953; Zbl 0050.02202)] they first construct the possible solvable Frattini factors \(G/\Phi(G)\). These factors are obtained as subdirect products of irreducible subgroups of \(\text{GL}(d,q)\).
Hans Ulrich Besche, Bettina Eick
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FINITE GROUPS WITH THE SAME JOIN GRAPH AS A FINITE NILPOTENT GROUP [PDF]
Glasgow Mathematical Journal, 2020 AbstractGiven a finite group G, we denote by Δ(G) the graph whose vertices are the proper subgroups of G and in which two vertices H and K are joined by an edge if and only if G = ⟨H, K⟩. We prove that if there exists a finite nilpotent group X with Δ(G) ≅ Δ(X), then G is supersoluble.
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The Quarterly Journal of Mathematics, 1987 This paper deals with the problem of enumerating the number f(n) of isomorphism types of groups of order n. There are three results which give upper bounds for f(n). The first bound holds for arbitrary groups, the second one deals with solvable groups, while the third one applies to groups with abelian Sylow subgroups.
Mciver, A, Neumann, P
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The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic [PDF]
, 2016 Let G be a Sylow p -subgroup of the unitary groups GU(3,q2)GU(3,q2), GU(4,q2)GU(4,q2), the symplectic group Sp(4,q)Sp(4,q) and, for q odd, the orthogonal group O+(4,q)O+(4,q).
Fleischmann, Peter +2 more
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