The spectrum of a periodic group G is the set ω(G) of its element orders. The objective of the present paper is to consider the simple group L 3 (4) which is isomorphic to M 21 . Theorem. If ω(G)={1,2,3,4,5,7}=ω(L 3 (4)), then G is isomorphic to L 3 (4). For finite groups G, the result was proved by W. Sh
Search of arithmetical properties that determine a finite group uniquely. Among arithmetical propert...
Abstract. Let ω(G) denote the set of element orders of a finite group G. If H is a finite non-abelia...
It is proved that up to isomorphism there are only two finite groups with the same set of element or...
The spectrum of a periodic group G is the set ω(G) of its element orders. The objective of the prese...
The spectrum of a periodic group G is the set ω(G) of its element orders. The objective of the prese...
The spectrum of a periodic group G is the set ω(G) of its element orders. The objective of the prese...
The spectrum of a periodic group G is the set ω(G) of its element orders. The objective of the prese...
Let G be a periodic group, and let ω(G)⊆N be the spectrum of G that is the set of orders of elements...
Let G be a periodic group, and let ω(G)⊆N be the spectrum of G that is the set of orders of elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
It is proved that, if G is a finite group that has the same set of element orders as the simple grou...
Search of arithmetical properties that determine a finite group uniquely. Among arithmetical propert...
Abstract. Let ω(G) denote the set of element orders of a finite group G. If H is a finite non-abelia...
It is proved that up to isomorphism there are only two finite groups with the same set of element or...
The spectrum of a periodic group G is the set ω(G) of its element orders. The objective of the prese...
The spectrum of a periodic group G is the set ω(G) of its element orders. The objective of the prese...
The spectrum of a periodic group G is the set ω(G) of its element orders. The objective of the prese...
The spectrum of a periodic group G is the set ω(G) of its element orders. The objective of the prese...
Let G be a periodic group, and let ω(G)⊆N be the spectrum of G that is the set of orders of elements...
Let G be a periodic group, and let ω(G)⊆N be the spectrum of G that is the set of orders of elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
It is proved that, if G is a finite group that has the same set of element orders as the simple grou...
Search of arithmetical properties that determine a finite group uniquely. Among arithmetical propert...
Abstract. Let ω(G) denote the set of element orders of a finite group G. If H is a finite non-abelia...
It is proved that up to isomorphism there are only two finite groups with the same set of element or...
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