Results 11 to 20 of about 382,475 (265)

Number of terms in the group determinant

Examples and Counterexamples, 2023
In this paper, we prove that when the number of terms in the group determinant of order odd prime p is divided by p, the remainder is 1. In addition, we give a table of the number of terms in kth power of the group determinant of the cyclic group of ...
Naoya Yamaguchi, Yuka Yamaguchi
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Crossed product of cyclic groups [PDF]

Czechoslovak Mathematical Journal, 2010
To appear in Czechoslovak Mathematical ...
Agore, Ana, Fratila, Dragos
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A Group Theoretic Approach to Cyclic Cubic Fields

Mathematics, 2023
Let (kμ)μ=14 be a quartet of cyclic cubic number fields sharing a common conductor c=pqr divisible by exactly three prime(power)s, p,q,r. For those components of the quartet whose 3-class group Cl3(kμ)≃(Z/3Z)2 is elementary bicyclic, the automorphism ...
Siham Aouissi, Daniel C. Mayer
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Orthonormal cyclic groups [PDF]

Pacific Journal of Mathematics, 1954
Sia \( \left\{A_{n}(x)\right\} \quad(n=0, \pm 1, \pm 2, \ldots) \) una successione di funzioni complesse, misurabili, formanti un gruppo ciclico moltiplicativo, esista cioè una funzione \( A_{1}(x) \) generatrice del gruppo tale che \( A_{n}(x)=\left[A_{1}(x)\right]^{n} \quad(n=0, \pm 1, \pm 2, \ldots) \). La condizione necessaria e sufficiente perchè \
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On the holomorph of a cyclic group [PDF]

Transactions of the American Mathematical Society, 1903
It is known that the holomorph (K) of a cyclic group (G) is a complete group and that its commutator subgroup is G whenever the order (g) of G is odd. WAThen g > 2 is even, the commutator subgroup of K is the subgroup of G whose order is g/2, and K is never complete.t The main object of this paper is to determine additional useful properties of Kwhose ...
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A survey on projectively equivalent representations of finite groups [PDF]

Surveys in Mathematics and its Applications, 2020
The paper is a survey type article in which we present some results on projectively equivalent representations of finite groups.
Tania Luminiţa Costache
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On logically cyclic groups [PDF]

Journal of Group Theory, 2014
Abstract A group G is called logically cyclic if it has an element s such that every element of G can be defined by a first-order formula with parameter s. The aim of this paper is to investigate the structure of such groups.
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The Rational valued characters of the Group (Q2m×C2)

Journal of Kufa for Mathematics and Computer, 2012
The main purpose of this paper is to find the rational valued characters table of the group (Q2m×C2),when m=2h , h                         Z+, which is denoted by ≡*(Q2h+1×C2) ,where Q2m is denoted to Quaternion group ,and C2  is the ...
Nesir Rasool Mahmood, Hazim Ghdhaib Kalt
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The structure of groups with cyclic commutator subgroups indecomposable to a subdirect product of groups [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
The article studies finite groups indecomposable to subdirect product of groups (subdirectly irreducible groups), commutator subgroups of which are cyclic subgroups.
Kozlov, Vladimir Anatolievich, Titov, Georgiy Nikolaevich   +1 more
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Proofs of some geometric conjectures on the power sum congruence modulo a prime [PDF]

Notes on Number Theory and Discrete Mathematics
The main purpose of this paper is to verify the geometric conjectures of Mustonen (2022) concerning the solutions and the number of solutions of the congruence xⁿ+yⁿ≡0 (mod p), where p is a prime. For p>2, the nontrivial solutions lie on the "lines" y≡cx
Pentti Haukkanen
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