The Width of Verbal Subgroups in the Group of Unitriangular Matrices over a Field
International journal of algebra and computation, 2012 Let K be a field and let UTn(K) and Tn(K) denote the groups of all unitriangular and triangular matrices over field K, respectively. In the paper, the lattices of verbal subgroups of the above groups are characterized.
Agnieszka Bier
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Profinite groups in which the probabilistic zeta function has no negative coefficients [PDF]
International journal of algebra and computation, 2020 To a finitely generated profinite group $G$, a formal Dirichlet series $P_G(s)=\sum_{n \in \mathbb N} {a_n(G)}/{n^s}$ is associated, where $a_n(G)=\sum_{|G:H|=n}\mu(H, G)$ and $\mu(H,G)$ denotes the Mobius function of the lattice of open subgroups of $G.$
Eloisa Detomi, A. Lucchini
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Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes [PDF]
International journal of algebra and computation, 2018 We construct vertex transitive lattices on products of trees of arbitrary dimension [Formula: see text] based on quaternion algebras over global fields with exactly two ramified places.
Nithi Rungtanapirom, J. Stix, A. Vdovina
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On the Prime Graph Question for Integral Group Rings of 4-Primary Groups II [PDF]
International journal of algebra and computation, 2016 In this article the study of the Prime Graph Question for the integral group ring of almost simple groups which have an order divisible by exactly 4 different primes is continued.
Andreas Bächle, Leo Margolis
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Generalising quasinormal subgroups [PDF]
, 2012 In Cossey and Stonehewer ['On the rarity of quasinormal subgroups', Rend. Semin. Mat. Univ. Padova 125 (2011), 81-105] it is shown that for any odd prime p and integer n >= 3, there is a finite p-group G of exponent p(n) containing a quasinormal subgroup
Stonehewer, Stewart Edward +1 more
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Personal HealthCare of Things: A novel paradigm and futuristic approach
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract This study provides an investigative approach and offers a complete review of research on Internet of Medical Things (IoMT), describing the progress in general and highlighting the research issues, trends, and future aspects of IoMT. Exploring a research strategy for IoMT systems is vital as the need for IoT in healthcare grows. By aggregating
Surbhi Gupta +5 more
wiley +1 more source
Consistent dually semimodular lattices [PDF]
, 1992 In this paper, we study combinatorial and order-theoretical properties of consistent dually semimodular lattices of finite rank. Natural examples of such lattices are lattices of subnormal subgroups of groups with composition series.
Kung, Joseph P.S, Gragg, Karen M
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Smarandache Fuzzy Algebra [PDF]
, 2003 groupoid semi group semigroup group loop group groupoid semigroup loop semi group group ...
Vasantha, Kandasamy +2 more
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On the growth of L2-invariants of locally symmetric spaces, II: exotic invariant random subgroups in rank one [PDF]
, 2018 In the first paper of this series (arxiv.org/abs/1210.2961) we studied the asymptotic behavior of Betti numbers, twisted torsion and other spectral invariants for sequences of lattices in Lie groups G. A key element of our work was the study of invariant
Nikolov, Nikolay +20 more
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Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes [PDF]
, 2019 \ua9 2019 World Scientific Publishing Company. We construct vertex transitive lattices on products of trees of arbitrary dimension d ≥ 1 based on quaternion algebras over global fields with exactly two ramified places.
Rungtanapirom N, Vdovina A, Stix J
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