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Abstract A finite group G is called G a 𝒯-group if each subnormal subgroup of G is normal in G and a subgroup K of G is called an ℋ-subgroup of G if N G (K) ∩ K g ⊆ K for all g ∈ G. Using the… (More)
Buchsteiner loops are those which satisfy the identity x\(xy · z) = (y · zx)/x. We show that a Buchsteiner loop modulo its nucleus is an abelian group of exponent four, and construct an example where… (More)
Multiplication groups of (finite) loops with commuting inner permutations are investigated. Special attention is paid to the normal closure of the abelian permutation group.
In this paper we consider groups G which have connected transversals to nonabelian subgroups whose order is a product of two odd primes p and q, where pq andp= 2 qm+ 1. In our main theorem we show… (More)
Using Vojvoda approach  we demonstrate that cryptographical primitives proposed in  are vulnerable relative to chosen ciphertext attack and chosen plaintext attack. We develop proposed in… (More)
Abstract.We get new characterizations of finite supersolvable groups based on the structure of the generalized Fitting subgroup. Then we extend our results to the saturated formations containing the… (More)
By T. Kepka and M. Niemenmaa if the inner mapping group of a finite loop Q is abelian, then the loop Q is centrally nilpotent. For a long time there was no example of a nilpotency degree greater than… (More)