Results 1 to 10 of about 72,032 (249)

On Group Codes Over Elementary Abelian Groups [PDF]

Sultan Qaboos University Journal for Science, 2003
For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group.
Adnan A. Zain
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Varieties for Modules of Quantum Elementary Abelian Groups [PDF]

Algebras and Representation Theory, 2008
We define a rank variety for a module of a noncocommutative Hopf algebra $A = \rtimes G$ where $ = k[X_1, ..., X_m]/(X_1^{\ell}, ..., X_m^{\ell})$, $G = ({\mathbb Z}/\ell{\mathbb Z})^m$, and $\text{char} k$ does not divide $\ell$, in terms of certain subalgebras of $A$ playing the role of "cyclic shifted subgroups".
Julia Pevtsova, Sarah Witherspoon
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Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane

Известия Иркутского государственного университета: Серия "Математика", 2020
Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane} We investigate the hypotheses on a solvability of the full collineation group for non-Desarguesian semifield projective plane of a finite order (the question 11.76 in ...
O. V. Kravtsova
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An elementary abelian group of large rank is not a CI-group

Discrete Mathematics, 2003
AbstractIn this paper, we prove that the group Zpn is not a CI-group if n⩾2p−1+(2p−1p), that is there exist two Cayley digraphs over Zpn which are isomorphic but their connection sets are not conjugate by an automorphism of Zpn.
Mikhail Muzychuk
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An Elementary Abelian Group of Rank 4 Is a CI-Group

Journal of Combinatorial Theory, Series A, 2001
AbstractIn this paper we prove that Z4p is a CI-group; i.e., two Cayley graphs over the elementary abelian group Z4p are isomorphic if and only if their connecting sets are conjugate by an automorphism of the group Z4p.
Mitsugu Hirasaka, Mikhail Muzychuk
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On Elementary Abelian Cartesian Groups [PDF]

Canadian Mathematical Bulletin, 1991
AbstractJ. Hayden [2] proved that, if a finite abelian group is a Cartesian group satisfying a certain "homogeneity condition", then it must be an elementary abelian group. His proof required the character theory of finite abelian groups. In this note we present a shorter, elementary proof of his result.
Anthony B. Evans
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An addition theorem for the elementary abelian group

Journal of Combinatorial Theory, 1968
AbstractIn this paper we investigate the set of all sums over subsequences of a sequence a1,…, as of elements in a finite elementary Abelian group.
John E. Olson
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Elementary abelian subgroups in some special p-groups [PDF]

Journal of Group Theory, 2017
Abstract Let P be a finite p-group and p an odd prime. Let 𝒜 p ⁢
Xingzhong Xu
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Real equivariant bordism for elementary abelian 2-groups [PDF]

Homology, Homotopy and Applications, 2013
We give a description of real equivariant bordism for elementary abelian 2-groups, which is similar to the description of complex equivariant bordism for the group S^1 x ... x S^1 given by Hanke in 2005.
Firsching, Moritz
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Separating invariants for certain representations of the elementary Abelian p-groups of rank two

AIMS Mathematics
For a finite group acting linearly on a vector space, a separating set is a subset of the invariant ring that separates the orbits. In this paper, we determined explicit separating sets in the corresponding rings of invariants for four families of finite
Panpan Jia , Jizhu Nan, Yongsheng Ma
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