A characterization of semilattices of left groups
A characterization of semilattices of left or right groups
A characterization of sequences with the minimum number of k-sums modulo k
Let G be an additive abelian group of order k, and S be a sequence over G of length k+r, where 1 ≤ r ≤ k-1. We call the sum of k terms of S a k-sum. We show that if 0 is not a k-sum, then the number of k-sums is at least r+2 except for S containing only two distinct elements, in which case the number of k-sums equals r+1. This result improves the Bollobás-Leader theorem, which states that there are at least r+1 k-sums if 0 is not a k-sum.
A characterization of Shapley index of power via automorphisms.
In the class of complete games, the Shapley index of power is the characteristic invariant of the group of automorphisms, for these are exactly the permutations of players preserving the index.
A characterization of Sheffer functions by hyperidentities.
A characterization of some idempotent abelian groupoids
A characterization of subgroup lattices of finite abelian groups.
A characterization of symplectic groups related to Fermat primes
We proved that the symplectic groups , where is a Fermat prime number is uniquely determined by its order, the first largest element orders and the second largest element orders.
A characterization of the arc by means of the C-index of itssemigroup.
A characterization of the Desarguesian planes of order by .
A Characterization of the Finite Groups PSL (n, q).
A characterization of the group congruences on a semigroup.
A characterization of the groups Fi22, Fi23 and F24.
A characterization of the linear groups
Let be a finite group and be the set of element orders of . Let and be the number of elements of order in . Set . In fact is the set of sizes of elements with the same order in . In this paper, by and order, we give a new characterization of finite projective special linear groups over a field with elements, where is prime. We prove the following theorem: If is a group such that and consists of , , and some numbers divisible by , where is a prime greater than...
A Characterization of the Modular Representations of Finite Groups with Split (B, N)-Pairs.
A Characterization of the Simple Group M24.
A characterization of the simple group by the set of its element orders.
A characterization of varieties of inverse semigroups.
A characterization property of the simple group by the set of its element orders
Let denote the set of element orders of a finite group . If is a finite non-abelian simple group and implies contains a unique non-abelian composition factor isomorphic to , then is called quasirecognizable by the set of its element orders. In this paper we will prove that the group is quasirecognizable.
A characterization theorem for sporadic simple groups.