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- Publications
- Influence
A Note on the Schur Multiplier of a Nilpotent Lie Algebra
- P. Niroomand, F. Russo
- Mathematics
- 4 January 2010
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
Relative n-isoclinism classes and relative n-th nilpotency degree of finite groups
- A. Erfanian, R. Rezaei, F. Russo
- Mathematics
- 11 March 2010
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 of… Expand
COMMUTING POWERS AND EXTERIOR DEGREE OF FINITE GROUPS
- P. Niroomand, R. Rezaei, F. Russo
- Mathematics
- 11 February 2011
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 gives… Expand
A note on the exterior centralizer
- P. Niroomand, F. Russo
- Mathematics
- 28 November 2009
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 product… Expand
On the WGSC Property in Some Classes of Groups
- D. E. Otera, F. Russo
- Mathematics
- 14 November 2009
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 simple… Expand
An improvement of a bound of Green
- F. Russo, P. Niroomand
- Mathematics
- 14 November 2012
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
On a notion of breadth in the sense of Frobenius
- H. Heineken, F. Russo
- Mathematics
- 15 February 2015
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 restrictions… Expand