Results 31 to 40 of about 94 (79)
On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]
, 2004 The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Kevin Bowman +5 more
core
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
core +1 more source
On large orbits of supersoluble subgroups of linear groups [PDF]
, 2019 The research of this paper has been supported by the grant MTM2014-54707-C3-1-P from the Ministerio de Economia y Competitividad, Spain, and FEDER, European Union, by the grant PGC2018-095140-B-I00 from the Ministerio de Ciencia, Innovacion y ...
Ballester-Bolinches, A. +4 more
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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
core +1 more source
The index complex of a maximal subalgebra of a Lie algebra. [PDF]
, 2011 Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion for M if C is not contained in M but every proper subalgebra of C that is an ideal of L is contained in M.
Towers, David A., David A. Towers
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The pro-supersolvable topology on a free group: deciding denseness
, 2023 Let $F$ be a free group of arbitrary rank and let $H$ be a finitely generated subgroup of $F$. Given a pseudovariety $\mathbf{V}$ of finite groups, i.e.
Tracey, Gareth +2 more
core
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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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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On the solvable, nilpotent, and supersolvable groups of order at most two hundred
, 1998 The emphasis of this paper is to determine whether a group is solvable (resp., nilpotent, supersolvable) based on its order. Throughout the thesis, a number is considered solvable (resp., nilpotent, supersolvable) if every group of that particular order ...
Smith, Derek Keith
core
A note on p-nilpotence and solvability of finite groups
, 2009 In this note, we first give some examples to show that some hypotheses of some well-known results for a group G to be p-nilpotent, solvable and supersolvable are essential and cannot be removed. Second, we give some generalizations of two theorems in [A.
Shi, Jiangtao, Shi, Wujie, Zhang, Cui
core +1 more source