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Products of Subgroups Which Are Subgroups
Communications in Algebra, 2007We prove conditions for a product of distinct subgroups of an arbitrary group G to be a subgroup of G. In particular, the normal closure of any A ≤ G is equal to the product of some distinct conjugates of A. As an application of the later result we derive constraints on the size of a nontrivial conjugacy class of a finite non-Abelian simple group.
Gil Kaplan, Dan Levy
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IEEE Transactions on Information Theory, 1995
Let \(C\) be a linear code of length \(N\) over \(\text{GF} (q^m)\), and let \(S\) be a \(k\)-dimensional subspace of the additive group of \(\text{GF} (q^m)\). By representing elements from \(S\) with \(k\)-elements from \(\text{GF} (q)\), the code \(C\cap S^N\) is transformed into a code \(C_k\) of length \(N\) over a \(q^k\)-ary alphabet. Clearly, \(
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Let \(C\) be a linear code of length \(N\) over \(\text{GF} (q^m)\), and let \(S\) be a \(k\)-dimensional subspace of the additive group of \(\text{GF} (q^m)\). By representing elements from \(S\) with \(k\)-elements from \(\text{GF} (q)\), the code \(C\cap S^N\) is transformed into a code \(C_k\) of length \(N\) over a \(q^k\)-ary alphabet. Clearly, \(
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To subgroup, or not to subgroup?
Musculoskeletal Science and Practice, 2017M. Rabey +4 more
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On subgroups of the basic subgroup
Publicationes Mathematicae Debrecen, 2022openaire +2 more sources
WIREs Data Mining and Knowledge Discovery, 2015
Subgroup discovery is a broadly applicable descriptive data mining technique for identifyinginterestingsubgroups according to some property of interest. This article summarizes fundamentals of subgroup discovery, before that it also reviews algorithms and further advanced methodological issues.
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Subgroup discovery is a broadly applicable descriptive data mining technique for identifyinginterestingsubgroups according to some property of interest. This article summarizes fundamentals of subgroup discovery, before that it also reviews algorithms and further advanced methodological issues.
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Subgroups dual to dimension subgroups
Mathematical Proceedings of the Cambridge Philosophical Society, 1972Associated with, the powers of the augmentation ideal are the dimension subgroups. In the integral group ring case, they have long been conjectured to be the terms of the lower central series. This paper investigates the subgroups associated with the chain of ideals dual to the chain of powers of the augmentation ideal. The study is reduced to the case
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Russian Mathematical Surveys, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Myasthenia gravis: subgroup classification and therapeutic strategies
Lancet Neurology, 2015N. Gilhus, J. Verschuuren
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