Results 1 to 10 of about 602 (48)
On intersections of two non-incident subgroups of finite p-groups
Open Mathematics, 2021 In this paper, we investigate finite p-groups GG such that whenever A ...
Wang Jiao
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Counterexamples to a conjecture of Lemmermeyer [PDF]
, 1998 We produce infinitely many finite 2-groups that do not embed with index 2 in any group generated by involutions. This disproves a conjecture of Lemmermeyer and restricts the possible Galois groups of unramified 2-extensions, Galois over the rationals, of
Boston, Nigel, Leedham-Green, Charles
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Breaking points in centralizer lattices [PDF]
, 2018 In this note, we prove that the centralizer lattice ${\mathfrak C}(G)$ of a group $G$ cannot be written as a union of two proper intervals. In particular, it follows that ${\mathfrak C}(G)$ has no breaking point.
Tărnăuceanu, Marius
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On CSQ-normal subgroups of finite groups
Open Mathematics, 2016 We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups.
Xu Yong, Li Xianhua
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Breaking points in the poset of conjugacy classes of subgroups of a finite group [PDF]
, 2018 In this note, we determine the finite groups whose poset of conjugacy classes of subgroups has breaking points. This leads to a new characterization of the generalized quaternion $2$-groups.
Tărnăuceanu, Marius
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FINITE $p$-GROUPS WITH SMALL AUTOMORPHISM GROUP
Forum of Mathematics, Sigma, 2015 For each prime $p$ we construct a family $\{G_{i}\}$ of finite $p$-groups such that $|\text{Aut}(G_{i})|/|G_{i}|$ tends to zero as $i$ tends to infinity.
JON GONZÁLEZ-SÁNCHEZ +1 more
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2-generated Cayley digraphs on nilpotent groups have hamiltonian paths [PDF]
, 2011 Suppose G is a nilpotent, finite group. We show that if {a,b} is any 2-element generating set of G, then the corresponding Cayley digraph Cay(G;a,b) has a hamiltonian path.
Morris, Dave Witte
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A note on the structure of a finite group G having a subgroup H maximal in 〈H, Hg〉
Open Mathematics, 2019 Let G be a finite group and H ≤ G. The authors study the structure of finite groups G having a subgroup H which is maximal in 〈H, Hg〉 for some g ∈ G. Some results on the structure of 〈H, Hg〉 and G are set up.
Xu Yong, Li Xianhua, Chen Guiyun
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Maximal representation dimension of finite p-groups [PDF]
, 2010 The representation dimension of a finite group G is the smallest positive integer m for which there exists an embedding of G in GL_m(C). In this paper we find the largest value of representation dimensions, as Granges over all groups of order p^n, for a ...
Gurevich S. +4 more
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Remarks on the tensor degree of finite groups
, 2014 The present paper is a note on the tensor degree of finite groups, introduced recently in literature. This numerical invariant generalizes the commutativity degree through the notion of nonabelian tensor square.
Alghamdi, Ahmad M. A. +1 more
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