Results 51 to 60 of about 1,322,838 (185)

LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART I: GENERAL THEORY

Forum of Mathematics, Sigma, 2017
Let $G$ be a totally disconnected, locally compact group. A closed subgroup of $G$
PIERRE-EMMANUEL CAPRACE, COLIN D. REID, GEORGE A. WILLIS   +2 more
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The Galois extensions induced by idempotents in a Galois algebra

International Journal of Mathematics and Mathematical Sciences, 2002
Let B be a Galois algebra with Galois group G, Jg={b∈B|bx=g(x)b   for all   x∈B} for each g∈G, eg the central idempotent such that BJg=Beg, and eK=∑g∈K,eg≠1eg for a subgroup K of G.
George Szeto, Lianyong Xue
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Some New Applications of Weakly ℋ-Embedded Subgroups of Finite Groups

Mathematics, 2019
A subgroup H of a finite group G is said to be weakly H -embedded in G if there exists a normal subgroup T of G such that H G = H T and H ∩ T ∈ H ( G ) , where H G is the normal closure of H in G, and H ( G )
Li Zhang, Li-Jun Huo, Jia-Bao Liu
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Normalizers and self-normalizing subgroups

Glasnik matematicki, 2011
Let $\mathbb K$ be a field of characteristic $\neq 2$. Suppose $G=\boldsymbol{; ; G}; ; (\mathbb K)$ is the group of $\mathbb K$-points of a reductive algebraic $\mathbb K$-group $\boldsymbol{; ; G}; ; $. Let $G_1\leq G$ be the group of $\mathbb K$-points of a reductive subgroup $\boldsymbol{; ; G}; ; _1\leq \boldsymbol{; ; G}; ; $.
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Sandwich classification theorem [PDF]

International Journal of Group Theory, 2015
The present note arises from the author's talk at the conference ``Ischia Group Theory 2014''. For subgroups FleN of a group G denote by Lat(F,N) the set of all subgroups of N , containing F . Let D be a subgroup of G .
Alexey Stepanov
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Products of Normal Supersolvable Subgroups [PDF]

Proceedings of the American Mathematical Society, 1971
It is shown in this paper that if G is a finite group which is the product of two normal supersolvable subgroups of relatively prime index, then G is supersolvable.
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Gaussian Measure of Normal Subgroups

The Annals of Probability, 1983
Let $(\mu_t)_{t>0}$ be a Gaussian semigroup on a metric, separable, complete group $G$. If $H$ is a Borel measurable normal subgroup of $G$ such that $\mu_t(H) > 0$ for all $t$, then $\mu_t(H) = 1$ for every $t$. If, in addition, $\mu_t$ are symmetric, then $\mu_t(H) > 0$ for a single $t$ implies $\mu_t(H) = 1$ for all $t$.
Byczkowski, T., Hulanicki, A.
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PERFECTLY STABLE AND NORMAL SUBGROUPS

Proceedings of the YSU A: Physical and Mathematical Sciences, 2022
The equivalence between the concepts of normal and perfectly stable  subgroups is shown. The proof of the main theorem is based on a novel concept of hypergroups over a group.
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On normalizers of nilpotent subgroups

Journal of Algebra, 2003
The authors give a very wide generalization (not only for finite groups) of \textit{G. Glauberman}'s theorem [Math. Z. 107, 1-20 (1968; Zbl 0172.03002)] which characterizes finite two-dimensional special linear groups as groups acting on \(p\)-groups with certain features. The precise formulation is too complicated to be stated here.
Baumann, Bernd, Meierfrankenfeld, Ulrich
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Torsion Groups with the Norm of pd-Subgroup of Finite Index

Researches in Mathematics
The authors study the relations between the properties of torsion groups and their norms of $pd$-subgroups. The norm $N_G^{pdI}$ of $pd$-subgroups of a group $G$ is the intersection of the normalizers of all its $pd$-subgroups or a group itself, if the ...
T.D. Lukashova, M.G. Drushlyak, A.V. Pidopryhora   +2 more
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