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On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups
Comptes Rendus. Mathématique, 2023 We prove that every elementary abelian $p$-group, for odd primes $p$, occurs as the Schur multiplier of some non-abelian finite $p$-group.
Rai, Pradeep K.
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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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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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RINGS WITH AN ELEMENTARY ABELIAN p-GROUP OF UNITS
Journal of Commutative Algebra, 2023 11 pages, 1 figure, to appear in the Journal of Commutative ...
Chebolu, Sunil K. +3 more
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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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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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Rigid automorphisms of linking systems
Forum of Mathematics, Sigma, 2021 A rigid automorphism of a linking system is an automorphism that restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup.
George Glauberman, Justin Lynd
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Elementary Abelian p-groups revisited [PDF]
Bulletin of the Australian Mathematical Society, 1995 For each prime p, a Fraenkel-Mostowski model is constructed in which there are two elementary Abelian p-groups with the same cardinality that are not isomorphic.
Howard, Paul, Rubin, Jean E.
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Determine the value d(M(G)) for non-abelian p-groups of order q = pnk of Nilpotency c
Ratio Mathematica, 2020 In this paper we prove that if n, k and t be positive integer numbers such that t < k < n and G is a non abelian p-group of order pnk with derived subgroup of order pkt and nilpotency class c, then the minimal number of generators of G is at most p1 2 (
Behnam Razzaghmaneshi
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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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