Results 11 to 20 of about 68,261 (266)
On a Maximal Subgroup 2^6:(3^. S6) of M24 [PDF]
Mathematics Interdisciplinary Research, 2022 The Mathieu group M24 has a maximal subgroup of the form G ̅=N:G, where N=26 and G=3. S6 ≅ 3. PGL2 (9). Using Atlas, we can see that M24 has only one maximal subgroup of type 26:(3. S6). The group is a split extension of an elementary abelian group, N=26
Dennis Chikopela, Thekiso Seretlo
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The Primary Decomposition of the Factor Group [PDF]
Engineering and Technology Journal, 2011 The main purpose of this work is to find the primary decomposition of factor group K (The factor group of all z-valued class functions module the group of Z-valued generalized characters for elementary abelian group G),where G is a finite abelian group ...
Manal Naji Al-Harere
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The Primary Decomposition of the Factor Group K(G) [PDF]
Engineering and Technology Journal, 2011 The main purpose of this work is to find the primary decomposition of the factor group K (The factor group of all Z-valued class functions module the group of Z-valued generalized characters for elementary Abelian group G), where G is a finite Abelian ...
Manal N.AL-Harere, Fuad A.AL-Heety
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مجلة جامعة الانبار للعلوم الصرفة, 2012 In this paper , we define a certain subgroup ,denoted by ,as follows : of a finite group , and we give some properties of . Main result for is given in theorem 3.5 , which state that is an elementary abelian group if and only ...
YASSIN. A.W.AL-HITI
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A Simple Classification of Finite Groups of Order p2q2 [PDF]
Mathematics Interdisciplinary Research, 2018 Suppose G is a group of order p2q2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p2q2 when Q and P are
Aziz Seyyed Hadi +2 more
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Elementary Properties of Ordered Abelian Groups [PDF]
Transactions of the American Mathematical Society, 1960 Introduction. A complete classification of abelian groups by their elementary properties (i.e. properties that can be formalized in the lower predicate calculus) was given by Szmielew [9]. No such attempt, however, has so far been made with respect to ordered groups.
Robinson, Abraham, Zakon, Elias
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On Undecidability of Finite Subsets Theory for Torsion Abelian Groups
Mathematics, 2022 Let M be a commutative cancellative monoid with an element of infinite order. The binary operation can be extended to all finite subsets of M by the pointwise definition. So, we can consider the theory of finite subsets of M.
Sergey Mikhailovich Dudakov
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The first example of a simple 2−(81,6,2) design
Examples and Counterexamples, 2021 We give the very first example of a simple 2−(81,6,2)design. Its points are the elements of the elementary abelian group of order 81 and each block is the union of two parallel lines of the 4-dimensional geometry over the field of order 3.
Anamari Nakic
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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.
Phillips, R. G., Sperry, P. L.
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Computing the number of symmetric colorings of elementary Abelian groups
Alexandria Engineering Journal, 2021 Given a finite group G and a positive integer r, an r-coloring of G is any mapping χ:G→{1,…,r}. Colorings χ and φ are equivalent if there exists g∈G such that χ(xg-1)=φ(x) for all x∈G. A coloring χ is symmetric if there exists g∈G such that χ(gx-1g)=χ(x)
Yuliya Zelenyuk
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