Results 21 to 30 of about 6,156 (235)
On Products of Cyclic and Non-Abelian Finite p-Groups [PDF]
Advances in Group Theory and Applications, 2020 For an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a nonabelian subgroup whose class does not exceed p/2 in most cases. Bounds for the derived length
Brendan McCann
doaj +1 more source
On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]
, 2005 Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
core +1 more source
Centralizers in pseudo-finite groups
, 2021 The role of finite centralizers of involutions in pseudo-finite groups is analyzed. It is shown that a pseudo-finite group admitting a definable involutory automorphism fixing only finitely many elements is finite-by-abelian-by-finite.
Palacín, Daniel +2 more
core +1 more source
On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^5$ [PDF]
, 2020 summary:We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order $p^5$ are centrally nilpotent of class at most ...
Niemenmaa, M. (Markku) +1 more
core +1 more source
On the Structure of Groups whose Non-Abelian Subgroups are Serial [PDF]
Advances in Group Theory and Applications, 2016 Necessary and sufficient conditions are given for a locally finite group to have all non-abelian subgroups serial. We also obtain results for groups whose non-abelian subgroups are permutable.
M.R. Dixon, L.A. Kurdachenko, N.N. Semko
doaj +1 more source
Finite automata presentable abelian groups [PDF]
Annals of Pure and Applied Logic, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
André Nies, Pavel Semukhin
openaire +2 more sources
Dynamics of Endomorphism of Finite Abelian Groups
Discrete Dynamics in Nature and Society, 2017 We study the dynamics of endomorphisms on a finite abelian group. We obtain the automorphism group for these dynamical systems. We also give criteria and algorithms to determine whether it is a fixed point system.
Zhao Jinxing, Nan Jizhu
doaj +1 more source
ON FINITE p-GROUPS WITH ABELIAN AUTOMORPHISM GROUP [PDF]
International Journal of Algebra and Computation, 2013 We construct, for the first time, various types of specific non-special finite p-groups having abelian automorphism group. More specifically, we construct groups G with abelian automorphism group such that γ2(G) < Z(G) < Φ(G), where γ2(G), Z(G) and Φ(G) denote the commutator subgroup, the center and the Frattini subgroup of G respectively. For a
Vivek K. Jain +2 more
openaire +3 more sources
On Lattices Generated by Finite Abelian Groups [PDF]
SIAM Journal on Discrete Mathematics, 2015 26 ...
Albrecht Böttcher +3 more
openaire +3 more sources
On the number of prime order subgroups of finite groups [PDF]
, 2009 Let G be a finite group and let ?(G) be the number of prime order subgroups of G. We determine the groups G with the property ?(G)??G?/2?1, extending earlier work of C. T. C.
Scott, Stuart +3 more
core +1 more source