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On some binary codes from orthogonal geometry of characteristic two
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: B.G. RodriguesIn their natural primitive rank-3 action on the singular and non-singular points of the projective space of dimension 2m − 1, the simple orthogonal groups O ε 2m (F2), for ε = ±1 and m ≥ 3 have... -
On the stabilizers of the minimum-weight codewords of some binary codes from graphs on triples
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: B.G. RodriguesWe determine the stabilizers of the minimum-weight codewords for the binary codes C 2(n) and C 2(n)⊥ obtained from an adjacency matrix of the graph A 2(n) for n ≥ 7 and odd, with vertex set Ω{3}, and adjacency defined... -
Codes related to line graphs of triangular graphs and permutation decoding
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Washiela Fish --- Department of Mathematics and Applied Mathematics, South Africa Khumbo Kumwenda --- Department of Mathematics and Applied Mathematics, South Africa Eric Mwambene --- Department of Mathematics and Applied Mathematics, South AfricaFor any prime p, we consider p-ary linear codes obtained from the row span of incidence matrices of line graphs of triangular graphs and adjacency matrices of their line graphs. We determine parameters of the codes, their automorphism groups and... -
The automorphism groups of domains in complex space: a survey
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: StevenG. Krantz --- Department of Mathematics, U.S.AWe consider recent developments in the study of automorphism groups of domains in complex space. Particular attention is paid to results with a basis in geometry. -
Designs from the groups PSL2(q) for certain q
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: M.R. Darafsheh --- School of Mathematics, College of Science, Iran A. Iranmanesh --- Department of Mathematics, Faculty of Basic Sciences, Iran R. Kahkeshani --- Department of Mathematics, Faculty of Basic Sciences, IranUsing primitive actions of the projective special linear groups PSL2(q), q = 37, 41, 43, 47 and 49 some 1-designs are constructed. The automorphism group of all the constructed designs are found. It is shown that all subgroups of the... -
On the coincidence of automorphism groups of finite p-groups
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Rohit Garg --- Govt. Ripudaman College, India Mandeep Singh --- Arya College, IndiaLet G be a finite non-abelian p-group, where p is a prime. Let γn (G) and Zn (G) respectively denote the nth term of the lower and upper central series of G, and let Ln (G) denote the nth absolute... -
On central automorphisms of finite p-groups of class 2
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: M. Shabani-Attar --- Payame Noor University, IranLet G be a finite p-group and let Aut c (G) be the group of all central automorphisms of G. Let be the set of all central automorphisms of G fixing Z(G) elementwise. For a finite p-group of class 2,... -
A rigid Riesz space
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: A.W. Wickstead --- Queen’s University Belfast, , Northern Ireland, UKWe give an example of an Archimedean Riesz space on which every automorphism is a strictly positive multiple of the identity. -
Fixed points of principal E 6-bundles over a compact algebraic curve
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Álvaro Antón-Sancho --- Fray Luis de Leon University College of Education, Catholic University of Ávila, SpainLet X be a compact algebraic curve of genus g ≥ 2. The nontrivial outer automorphism σ of the complex Lie group E 6 acts on the moduli space M(E 6) of principal E 6-bundles over X , and this... -
Local and 2-local automorphisms of solvable Leibniz algebras with abelian and model nilradicals
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Iqboljon Karimjanov --- Saint-Petersburg State University, Russia Sardorbek Umrzaqov --- Andijan State University, Uzbekistan Bakhtiyor Yusupov --- V.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, UzbekistanIn the paper, we describe the automorphisms on the solvable Leibniz algebras with the model or abelian nilradicals, whose complementary spaces are equal to two and one, respectively. We show that any local automorphism on a solvable Leibniz algebra with... -
On conjugacy of additive actions in the affine Cremona group
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Ivan Arzhantsev --- HSE University, RussiaAn additive action on an irreducible algebraic variety X is an effective action with an open orbit of the vector group . Any two additive actions on X are conjugate by a birational automorphism of X. We prove that, if... -
On automorphism groups of the conjugacy class type Cayley graphs on the symmetric and alternating groups
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: O. Habineza --- University of the Western Cape, South Africa E. Mwambene --- University of the Western Cape, South AfricaThe automorphism groups of Cayley graphs on symmetric groups, Cay(G, S), where S is a complete set of transpositions have been determined. In a similar spirit, automorphism groups of Cayley graphs Cay(An , S) on alternating groups An , where...