Results 21 to 30 of about 803,275 (234)
Elementary equivalence and the commutator subgroup [PDF]
If G and H are elementarily equivalent groups (that is, no elementary statement of group theory distinguishes between G and H) then the definable subgroups of G are elementarily equivalent to the corresponding ones of H. But G′ of G, consisting of all products of commutators [a, b] = a−1b−1ab of elements a and b of G, may not be definable.
van den Dries, L. P. D. +4 more
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Emergent Intelligence via Self-Organization in a Group of Robotic Devices
Networked systems control is a known problem complicated because of the need to work with large groups of elementary agents. In many applications, it is impossible (or difficult) to validate agent movement models and provide sufficiently reliable control
Konstantin Amelin +3 more
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On algebraic convergence of non-elementary discrete subgroups of SL(2,Qp)
In the Kelinian groups, the study of the algebraic convergence of the sequence of the discrete subgroups is a very important topic, since the algebraic convergence of the sequence of the discrete subgroups can be applied to study the deformations the ...
Yang Jinghua
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Relatively Good News Amid Covid-19
This study examined publicly available data from The Institution of Education Sciences (IES) survey of school leaders concerning modes of instructions offered and subgroups prioritized during the Covid-19 pandemic.
Jesse Moon Longhurst, Michael Thier
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Throw Them All in One Pot? Differences in Stereotypes About Subgroups of Pre-Service Teachers
According to the stereotype content model, stereotypes can be described by using the dimensions competence and warmth. Compared to other professions, teaching is associated with a paternalistic stereotype consisting of high warmth and low competence.
Martin O. Stuckert +3 more
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This study examined the prevalence of obesity and severe obesity among Mississippi K-12 public school students and the obesity rate differences within subgroups categorized by sex, race, and grade level.
Lei Zhang +3 more
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The group of characters of an elementary Abelian group has been used to define duality between its subgroups, which in turn is extended to duality between group codes.
Adnan Abdulla Zain
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Rigid automorphisms of linking systems
A rigid automorphism of a linking system is an automorphism that restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup.
George Glauberman, Justin Lynd
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Centralizer of the elementary subgroup of an isotropic reductive group [PDF]
Let G be an isotropic reductive algebraic group over a commutative ring R. Assume that, for any maximal ideal M of R, the rank of the relative root system of G_{R_M} is greater or equal than 2. We show that under this assumption the centralizer of E(R) in G(R) coincides with the abstract group-theoretic center of G(R) and with Cent(G)(R).
Kulikova, E., Stavrova, Anastasia K.
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An approach to Quillen’s conjecture via centralisers of simple groups
For any given subgroup H of a finite group G, the Quillen poset ${\mathcal {A}}_p(G)$ of nontrivial elementary abelian p-subgroups is obtained from ${\mathcal {A}}_p(H)$ by attaching elements via their centralisers in H.
Kevin Iván Piterman
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