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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

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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

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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

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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

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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

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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

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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

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Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups

- W. Herfort, F. Russo, K. H. Hofmann
- Mathematics
- 19 November 2018

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