Results 61 to 70 of about 234 (126)
Finite groups with supersolvable subgroup cofactors
, 2008 Let in group О maximal subgroup cofactors be supersolvable. It is proved that non-Abelian composition factors are iso morphic to group PSL(2, p\ p - primes, p = ± 1 (mod 8). If group G is soluble then its nilpotent length does not exceed 3, p-length /ДО)
Евтухова, С. М. +1 more
core
M-groups and the supersolvable residual
Mathematische Zeitschrift, 1969 A finite group G is an M-group (monomial group) if each irreducible complex character of G is induced from a linear character of a subgroup of G. It is well known that M-groups are always solvable and that certain types of solvable groups are M-groups. In [5] Dornhoff proved a theorem implying that the class of M-groups is rather large.
openaire +1 more source
Supersolvable Subgroups of Order Divisible by 3
We determine the structure of the finite non-solvable groups of order divisible by 3 all whose maximal subgroups of order divisible by 3 are supersolvable.
Beltrán, Antonio, Shao, Changguo
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A new notion of rank for finite supersolvable groups and free linear actions on products of spheres [PDF]
, 2003 For a finite supersolvable group G, we define the saw rank of G to be the minimum number of sections Gk/Gk-1 of a cyclic normal series G* such that Gk -Gk-1 contains an element of prime order. The axe rank of G, studied by Ray [10], is the minimum number
Yalçın, E., Barker, L.
core
Groups in which every non-cyclic subgroup contains its centralizer
, 2013 We study groups having the property that every non-cyclic subgroup contains its centralizer. The structure of nilpotent and supersolvable groups in this class is described.
DELIZIA, Costantino +7 more
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Finite groups with complementable maximal primary cyclic subgroups
, 1997 Вивчаготься скінченні непримарні групи вказаного типу i дається опис ycix таких надрозв'язних груп.We study finite nonprimary groups with complementable maximal primary cyclic subgroups and give a description of all supersolvable groups of this ...
Крекнин, В.А. +1 more
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Maximal covers of finite groups
, 2019 Let λ(G) be the maximum number of subgroups in an irredundant covering of the finite group G. We prove that if G is a group with λ(G) ≤ 6, then G is supersolvable. We also describe the structure of groups G with λ(G) = 6. Moreover, we show that if G is a
Bastos, Raimundo +2 more
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On finite groups factorised by submodular subgroups
, 2023 A subgroup $H$ of a finite group $G$ is submodular in $G$ if there is a subgroup chain $H=H_0\leq\ldots\leq H_i\leq H_{i+1}\leq \ldots \leq H_n=G$ such that $H_i$ is a modular subgroup of $H_{i+1}$ for every $i$.
Monakhov, Victor S., Sokhor, Irina L.
core
Generating Fast Fourier Transforms of Solvable Groups
, 2006 This paper presents a new algorithm for constructing a complete list of pairwise inequivalent ordinary irreducible representations of a finite solvable group G.
M. Müller, M. Clausen
core
On the density of various classes of groups
, 1983 Let T be a subset of the set of all isomorphism classes of finite groups. We consider the number Fg(x) of positive integers n≤x such that all groups of order n lie in T.
Murty, M.Ram, Murty, V.Kumar
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