Results 21 to 30 of about 12,672,108 (295)
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.
doaj +1 more source
Commutativity Degree of Certain Finite AC-Groups [PDF]
Mathematics Interdisciplinary Research, 2021 For a finite group G, the probability of two elements of G that commute is the commutativity degree of G denoted by P(G). As a matter of fact, if C = {(a; b) ∈ G×G | ab = ba}, then P(G) = |C|/|G|2 .
Azizollah Azad, Sakineh Rahbariyan
doaj +1 more source
THE CYCLIC DECOMPOSITION OF THE FACTOR GROUP CF(Dnh,Z)/R(Dnh) WHEN N IS AN ODD NUMBER
Journal of Kufa for Mathematics and Computer, 2010 For fixed positive integer n³3 ,let Dn be the dihedral group, Dnh= Dn ÏC2 and cf(Dnh,Z) be the abelian group of Z-valued class functions of the group Dnh .The intersection of cf(Dnh,Z) with the group of all generalized characters of Dnh , R(Dnh) is a ...
Hussein Hadi Abbas +1 more
doaj +1 more source
On the Norm of the Abelian p-Group-Residuals
Mathematics, 2021 Let G be a group. Dp(G)=⋂H≤GNG(H′(p)) is defined and, the properties of Dp(G) are investigated. It is proved that Dp(G)=P[A], where P=D(P) is the Sylow p-subgroup and A=N(A) is a Hall p′-subgroup of Dp(G), respectively.
Baojun Li, Yu Han, Lü Gong, Tong Jiang
doaj +1 more source
On nilpotent but not abelian groups and abelian but not cyclic groups
Journal of Number Theory, 1988 Using general sieve-type methods of number theory and certain density estimates for prime numbers, the authors derive asymptotic formulae for \(A(n)-C(n)\) and \(N(n)-A(n)\), where \(A(n)=\#\{m\leq n:\) every group of order \(m\) is abelian\(\},\) \(C(n)=\#\{m\leq n:\) every group of order \(m\) is cyclic\(\}\), and \(N(n)=\#\{m\leq n:\) every group of
Paul Erdös, Michael E. Mays
openaire +3 more sources
Renormalization of an Abelian tensor group field theory: solution at leading order [PDF]
, 2015 A bstractWe study a just-renormalizable tensorial group field theory of rank six with quartic melonic interactions and Abelian group U(1). We introduce the formalism of the intermediate field, which allows a precise characterization of the leading order ...
Vincent Lahoche, D. Oriti, V. Rivasseau
semanticscholar +1 more source
Complementary dual abelian codes in group algebras of some finite abelian groups [PDF]
ITM Web of ConferencesLinear complementary dual codes have become an interesting sub-family of linear codes over finite fields since they can be practically applied in various fields such as cryptography and quantum error-correction. Recently, properties of complementary dual
Jitman Somphong
doaj +1 more source
On groups and counter automata [PDF]
, 2006 We study finitely generated groups whose word problems are accepted by counter automata. We show that a group has word problem accepted by a blind n-counter automaton in the sense of Greibach if and only if it is virtually free abelian of rank n; this ...
Dixon J. D. +8 more
core +2 more sources
Proceedings of the American Mathematical Society, 1959 The question of the existence of noninner, nonouter Abelian Galois groups of noncommutative rings seems not to have been considered previously. Amitsur [1 ] may have come closest when he constructed noninner, nonouter cyclic division ring extensions.
openaire +2 more sources
General Matter Coupled N=4 Gauged Supergravity in Five Dimensions [PDF]
, 2001 We construct the general form of matter coupled N=4 gauged supergravity in five dimensions. Depending on the structure of the gauge group, these theories are found to involve vector and/or tensor multiplets. When self-dual tensor fields are present, they
Dall'Agata, Gianguido +2 more
core +2 more sources