Results 31 to 40 of about 2,666 (229)
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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Discussiones Mathematicae - General Algebra and Applications, 2017 It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
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Green’s relations for 2 × 2 matrices over linearly ordered abelian groups [PDF]
Proceedings of the Estonian Academy of SciencesWe consider semigroups of 2 Ã 2 matrices over linearly ordered abelian groups with respect to multiplication, which is defined similarly to tropical algebra. We study Greenâs relations on such semigroups.
Marilyn Kutti, Valdis Laan
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Semi-Extraspecial Groups with an Abelian Subgroup of Maximal Possible Order [PDF]
Advances in Group Theory and Applications, 2018 Let p be a prime. A finite p-group G is defined to be semi-extraspecial if for every maximal subgroup N in Z(G) the quotient G/N is a an extraspecial group. In addition, we say that G is ultraspecial if G is semi-extraspecial and |G : G′| = |G′|^2.
Mark L. Lewis
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Abelian Groups that are unions of proper subgroups [PDF]
Bulletin of the Australian Mathematical Society, 1992 The abelian groups that can be written as a union of proper subgroups are characterised, all the ways that this can be done for a given group are indicated, and the minimal number of subgroups necessary for such a decomposition of a given group is determined.
Bhaskara Rao, K. P. S., Reid, J. D.
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Centralisers of finite subgroups in soluble groups of type FPn
, 2009 We show that for soluble groups of type FPn , centralisers of finite subgroups need not be of type ...
Martínez-Pérez, Conchita +5 more
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Fully inert subgroups of divisible Abelian groups [PDF]
, 2013 A subgroup H of an Abelian group G is said to be fully inert if the quotient (H + phi(H)/H is finite for every endomorphism phi of G. Clearly, this is a common generalization of the notions of fully invariant, finite and finite-index subgroups.
Salce, Luigi +6 more
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Pinned-flags of some operations on fuzzy subgroups
International Journal of Mathematics and Mathematical Sciences, 2005 Fuzzy subgroups of finite groups have been treated recently using the concept of pinned-flags. In this paper, we consider the operations of intersection, sum, product, and quotient of fuzzy subgroups of finite abelian groups in general, in terms of ...
B. B. Makamba, V. Murali
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When the intrinsic algebraic entropy is not really intrinsic
Topological Algebra and its Applications, 2015 The intrinsic algebraic entropy ent(ɸ) of an endomorphism ɸ of an Abelian group G can be computed using fully inert subgroups of ɸ-invariant sections of G, instead of the whole family of ɸ-inert subgroups.
Goldsmith Brendan, Salce Luigi
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Minimal non-abelian groups with an average condition on subgroups [PDF]
Journal of Mahani Mathematical ResearchFor a finite group $G$, the average order $o(G)$ is defined to be the average of all order elements in $G$. We say that $G$ satisfies the average condition if $o(H)\leq o(G)$ for all subgroups $H$ of $G$.
Bijan Taeri, Ziba Tooshmalani
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