منابع مشابه
COMPUTATIONAL RESULTS ON FINITE P-GROUPS OF EXPONENT P2
The Fibonacci lengths of the finite p-groups have been studied by R. Dikici and co-authors since 1992. All of the considered groups are of exponent p, and the lengths depend on the celebrated Wall number k(p). The study of p-groups of nilpotency class 3 and exponent p has been done in 2004 by R. Dikici as well. In this paper we study all of the p-groups of nilpotency class 3 and exponent p2. Th...
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– We classify pointed finite-dimensional complex Hopf algebras whose group of group-like elements is abelian of prime exponent p, p > 17. The Hopf algebras we find are members of a general family of pointed Hopf algebras we construct from Dynkin diagrams. As special cases of our construction we obtain all the Frobenius–Lusztig kernels of semisimple Lie algebras and their parabolic subalgebras. ...
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We investigate the properties of Lie algebras of characteristic p which satisfy the Engel identity xy" = 0 for some n < p. We establish a criterion which (when satisfied) implies that if a and b are elements of an Engel-n Lie algebra L then abn~2 generates a nilpotent ideal of I. We show that this criterion is satisfied for n = 6, p = 1, and we deduce that if G is a finite m-generator group of ...
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We survey properties of the set of possible exponents of subsets of Zn (equivalently, exponents of primitive circulant digraphs on n vertices). Let En denote this exponent set. We point out that En contains the positive integers up to √ n, the ‘large’ exponents ⌊ 3 ⌋+1, ⌊ 2 ⌋, n−1, and for even n ≥ 4, the additional value n 2 −1. It is easy to see that no exponent in [n 2 +1, n−2] is possible, ...
متن کاملSome Definition of the Artin Exponent of Finite Groups
The Artin exponent induced from cyclic subgroups of finite groups was studied extensively by T.Y. Lam in [5]. A Burnside ring theoretic version of the results in [5] for p-groups was given in [6]. Here we shall be interested in looking at the Artin exponent induced from the elementary abelian subgroups of finite p-groups using some results of A. Dress in [3].
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1975
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700023686