Results 41 to 50 of about 176,865 (291)

Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index

Journal of Harbin University of Science and Technology, 2023
In order to give a further study of the solvability of a finite group in which every non-nilpotent maximal subgroup has prime index, the methods of the proof by contradiction and the counterexample of the smallest order and a theorem of Wielandt on the ...
TIAN Yunfeng, SHI Jiangtao, LIU Wenjing
doaj   +1 more source

Elementary Extensions of Linear Topological Abelian Groups [PDF]

Proceedings of the American Mathematical Society, 1972
R. MacDowell and E. Specker obtain a structure theorem for elementary extensions of the integers by considering a certain residue mapping. In this paper we characterize those abelian groups in which an analogous situation exists and obtain the MacDowell-Specker result as a special case of our theory.
R. G. Phillips, P. L. Sperry
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An approach to Quillen’s conjecture via centralisers of simple groups

Forum of Mathematics, Sigma, 2021
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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Solvable intransitive permutation groups with constant movement [PDF]

Journal of Mahani Mathematical Research
In this paper, all solvable intransitive permutation groups with constant movement are classified and we show that they are one of the following groups: a cyclic $p$-group, an elementary abelian $p$-group, a Frobenius group of order 12 or a Frobenius ...
Mehdi Rezaei, Mehdi Alaeiyan, Zeinab Foruzanfar   +2 more
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Sum structures in abelian groups

Examples and Counterexamples, 2023
Any set S of elements from an abelian group produces a graph with colored edges G(S), with its points the elements of S, and the edge between points P and Q assigned for its “color” the sum P+Q.
Robert Haas
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Derived Subgroups of Fixed Points in Profinite Groups [PDF]

, 2011
The main result of this paper is the following theorem. Let q be a prime, A an elementary abelian group of order q^3. Suppose that A acts as a coprime group of automorphisms on a profinite group G in such a manner that C_G(a)' is periodic for each ...
Acciarri, C., Lima, A. de Souza, Shumyatsky, P.   +2 more
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Transform Domain Characterization of Dual Group Codes of Cyclic Group Codes over Elementary Abelian Groups

Sultan Qaboos University Journal for Science, 2009
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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2-elements in an Autotopism Group of a Semifield Projective Plane

Известия Иркутского государственного университета: Серия "Математика", 2022
We investigate the well-known hypothesis of D.R. Hughes that the full collineation group of non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written down by N.D. Podufalov). The spread
Olga Kravtsova
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Elementary abelian groups of rank 5 are DCI-groups [PDF]

Journal of Combinatorial Theory, Series A, 2018
In this paper, we show that the group $\mathbb{Z}_p^5$ is a DCI-group for any odd prime $p,$ that is, two Cayley digraphs Cay$(\mathbb{Z}_p^5,S)$ and Cay$(\mathbb{Z}_p^5,T)$ are isomorphic if and only if $S=T^ $ for some automorphism $ $ of the group $\mathbb{Z}_p^5$.
Kovács, István, Feng, Yan-Quan
openaire   +4 more sources

A Note On Transversals [PDF]

, 2013
Let $G$ be a finite group and $H$ a core-free subgroup of $G$. We will show that if there exists a solvable, generating transversal of $H$ in $G$, then $G$ is a solvable group. Further, if $S$ is a generating transversal of $H$ in $G$ and $S$ has order 2
Jain, Vivek Kumar
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