Results 71 to 80 of about 234 (126)
THE LOCAL STRUCTURE OF THE ARTIN ROOT NUMBER. [PDF]
Proc Natl Acad Sci U S A, 1955 Dwork B.
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Construction of central units in integral group rings of finite groups
, 2011 In this paper we give new constructions of central units that generate a subgroup of finite index in the central units of the integral group ring Z G \mathbb {Z} G of a finite group.
Eric Jespers, M. Parmenter
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Minimal non-nilpotent groups which are supersolvable
, 2009 The structure of a group which is not nilpotent but all of whose proper subgroups are nilpotent has interested the researches of several authors both in the finite case and in the infinite case. The present paper generalizes some classic descriptions of M. Newman, H. Smith and J. Wiegold in the context of supersolvable groups.
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Approximate groups and doubling metrics
, 2011 We develop a version of Freĭman's theorem for a class of non-abelian groups, which includes finite nilpotent, supersolvable and solvable A-groups. To do this we have to replace the small doubling hypothesis with a stronger relative polynomial growth ...
TOM SANDERS
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A contribution to the theory of finite supersolvable groups
Journal of Algebra, 1979 The relationship between nilpotence of finite groups and the normality of (i) all maximal subgroups or (ii) all Sylow subgroups, is well known. Using Sylow systems of a subgroup, the author defines concepts of weak normaliser and weak centraliser and uses these to describe properties of supersolvable groups. For example, previous results of the author [
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Character Correspondences and Subgroups of Operator Groups
, 1998 LetAandGbe finite groups with coprime orders, and suppose thatAacts onGby automorphisms. Let π(G,A):IrrA(G)→Irr(CG(A)) be the Glauberman–Isaacs correspondence. LetB≤Aand let χ∈IrrA(G).
Puin, Christopher
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On chief factors of finite groups
, 2007 Let H and K be normal subgroups of a finite group G and let K≤H. If A is a subgroup of G such that AH=AK or A∩H=A∩K, we say that A covers or avoids H/K respectively. The purpose of this paper is to investigate factor groups of a finite group G using this
Liu, Xiaolei, Ding, Nanqing
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Supersolvable automorphism groups of solvable groups
Mathematische Zeitschrift, 1983 openaire +1 more source
On the Prime Divisors of Conjugacy Lengths of Solvable Groups
, 2008 Suppose that G is a finite group. We prove that if G/F (G) is solvable of odd order or supersolvable; and G does not contain abelian normal non-central Sylow subgroups, then |cρ(G)| ≤ 3cσ(G). Let m be the total number of abelian Sylow subgroups and n the
Liguo He
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New characterizations of p-nilpotency and Sylow tower groups
, 2013 We introduce a new subgroup embedding property of finite groups called s*-permutably embedding. By using this embedding property and formation theory, we obtain some new characterizations of p-nilpotency and Sylow tower groups of supersolvable type. Some
Mohd Aizat bin Mohamad Nor
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