Results 31 to 40 of about 552 (63)
The class of evolving groups is defined and investigated, as well as their connections to examples in the field of Galois cohomology. Evolving groups are proved to be Sylow Tower groups in a rather strong sense.
Stanojkovski, Mima
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Lie algebras with given properties of subalgebras and elements
Results about the following classes of finite-dimensional Lie algebras over a field of characteristic zero are presented: anisotropic (i.e., Lie algebras for which each adjoint operator is semisimple), regular (i.e., Lie algebras in which each nonzero ...
AG Gein, DA Towers, S Garibaldi
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Antichain cutsets of strongly connected posets
Rival and Zaguia showed that the antichain cutsets of a finite Boolean lattice are exactly the level sets. We show that a similar characterization of antichain cutsets holds for any strongly connected poset of locally finite height.
A Aramova +20 more
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Branes in Anti de Sitter Space-Time [PDF]
An intense study of the relationship between certain quantum theories of gravity realized on curved backgrounds and suitable gauge theories, has been originated by a remarkable conjecture put forward by Maldacena almost one year ago.
Trigiante, M.
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S-Permutability, Semipermutability, c-Normality And c-Permutability Of Subgroups In Finite Groups [PDF]
All groups and subgroups considered in this thesis are nite. In this thesis, some new theories and related proofs on S-permutable (also referred to as Sylow per- mutable), semipermutable, c-normal and c-permutable subgroups of a nite group G are ...
Al-Sharo, Doa'a Mustafa
core
A new algorithm for fast generalized DFTs
We give an new arithmetic algorithm to compute the generalized Discrete Fourier Transform (DFT) over finite groups $G$. The new algorithm uses $O(|G|^{\omega/2 + o(1)})$ operations to compute the generalized DFT over finite groups of Lie type, including ...
Hsu, Chloe Ching-Yun, Umans, Chris
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GBRDs over supersolvable groups and solvable groups of order prime to 3
Designs, Codes and Cryptography, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abel, R. Julian R. +3 more
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Criteria for the p-solvability and p-supersolvability of finite groups
Mathematical Notes, 2013A subgroup \(A\) of a finite group \(G\) \textit{covers} the maximal pair \((K,H)\), where \(K\) and \(H\) are subgroups of \(G\) such that \(K\) is a maximal subgroup of \(H\), if \(AH=AK\) and \textit{avoids} \((K,H)\) if \(A\cap K=A\cap H\). Every permutable subgroup covers or avoids every maximal pair, but the converse is not true in general.
Liu, Yufeng +3 more
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Some characterizations of $\pi$-solvable and supersolvable groups using $\theta$-pairs
Publicationes Mathematicae Debrecen, 2002Summary: For a finite group \(G\), \(D_p(G)\) is a generalization of the Frattini subgroup of \(G\). We obtain some results on \(\pi\)-solvable and supersolvable groups with the help of \(D_p(G)\) using \(\theta\)-pairs.
Dutta, T. K., Sen, P.
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Notes on Solvability andp-Supersolvability of Finite Groups
Algebra Colloquium, 2019A subgroup H of G is called ℳ-supplemented in G if there exists a subgroup B of G such that G = HB and HiB < G for every maximal subgroup Hiof H. In this paper, we use ℳ-supplemented subgroups to study the structure of finite groups and obtain some new characterization about solvability and p-supersolvability for a fixed prime p. Some results in the
Jia Zhang +3 more
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