نتایج جستجو برای: th nilpotency degree

تعداد نتایج: 343369  

Journal: :Proceedings of the American Mathematical Society 1980

Journal: :Comptes Rendus Mathematique 2005

Journal: :Journal of Algebra and Its Applications 2018

Journal: :Journal of Algebra 2020

2007
MARIA A. AVIÑO-DIAZ

In this paper we describe an algorithm for finding the nilpotency class, and the upper central series of the maximal normal p-subgroup ∆(G) of the automorphism group, Aut(G) of a bounded (or finite) abelian p-group G. This is the first part of two papers devoted to compute the nilpotency class of ∆(G) using formulas, and algorithms that work in almost all groups. Here, we prove that for p ≥ 3 t...

Journal: :Proceedings of the American Mathematical Society 1983

2010
ALEŠ DRÁPAL PETR VOJTĚCHOVSKÝ

Groups with commuting inner mappings are of nilpotency class at most two, but there exist loops with commuting inner mappings and of nilpotency class higher than two, called loops of Csörgő type. In order to obtain small loops of Csörgő type, we expand our programme from Explicit constructions of loops with commuting inner mappings, European J. Combin. 29 (2008), 1662–1681, and analyze the foll...

2008
Pierre Guillon Gaétan Richard

A one-dimensional cellular automaton is a dynamical system which consisting in a juxtaposition of cells whose state changes over discrete time according to that of their neighbors. One of its simplest behaviors is nilpotency: all configurations of cells are mapped after a finite time into a given “null” configuration. Our main result is that nilpotency is equivalent to the condition that all co...

Journal: :Transactions of the American Mathematical Society 1981

Journal: :Pacific Journal of Mathematics 1964

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