• Publications
  • Influence
A Note on the Schur Multiplier of a Nilpotent Lie Algebra
For a nilpotent Lie algebra L of dimension n and dim (L 2) = m ≥ 1, we find the upper bound , where M(L) denotes the Schur multiplier of L. In case m = 1, the equality holds if and only if L ≅ H(1) ⊕Expand
  • 48
  • 2
  • PDF
Relative n-isoclinism classes and relative n-th nilpotency degree of finite groups
The purpose of the present paper is to consider the notion of isoclinism between two finite groups and its generalization to n-isoclinism, introduced by J. C. Bioch in 1976. A weaker form ofExpand
  • 17
  • 2
  • PDF
COMMUTING POWERS AND EXTERIOR DEGREE OF FINITE GROUPS
Recently, we have introduced a group invariant, which is re- lated to the number of elements x and y of a nite group G such that x ^ y = 1 G^ G in the exterior square G ^ G of G. This number givesExpand
  • 13
  • 1
  • PDF
A note on the exterior centralizer
The notion of the exterior centralizer $${C_G^{^\wedge}(x)}$$ of an element x of a group G is introduced in the present paper in order to improve some known results on the non-abelian tensor productExpand
  • 20
  • 1
  • PDF
On the WGSC Property in Some Classes of Groups
The property of quasi-simple filtration (or qsf) for groups has been introduced in literature more than 10 years ago by S. Brick. This is equivalent, for groups, to the weak geometric simpleExpand
  • 16
  • 1
An improvement of a bound of Green
A p-group G of order pn (p prime, n ≥ 1) satisfies a classic Green's bound logp |M(G)| ≤ ½n(n - 1) on the order of the Schur multiplier M(G) of G. Ellis and Wiegold sharpened this restriction,Expand
  • 9
  • 1
  • PDF
On a notion of breadth in the sense of Frobenius
Abstract Given a finite group G and an integer e ≥ 1 dividing the order of G , the size of the set L e ( G ) = { x ∈ G | x e = 1 } was studied originally by Frobenius, in order to find restrictionsExpand
  • 6
  • 1
Groups described by element numbers
  • 8
  • 1
On compact Just-Non-Lie groups
  • 10
  • 1