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- W1965614372 abstract "A Schmidt group is a non-nilpotent finite group in which each proper subgroup is nilpotent. Each Schmidt group G is a solvable group of order p s q v (where p and q are different primes) with a unique Sylow p-subgroup P and a cyclic Sylow q-subgroup Q, and hence G is a semidirect product of P by Q. Denote by [Formula: see text] the class of all Schmidt groups of orders p s q v , where p, q, and v are fixed and s is arbitrary. It is shown in this paper that the class [Formula: see text] can be characterized by the properties of the endomorphism semigroups of the groups of this class. It follows from this characterization that if [Formula: see text] and H is another group such that the endomorphism semigroups of G and H are isomorphic, then [Formula: see text], too." @default.
- W1965614372 created "2016-06-24" @default.
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- W1965614372 date "2005-02-01" @default.
- W1965614372 modified "2023-09-27" @default.
- W1965614372 title "A CHARACTERIZATION OF SCHMIDT GROUPS BY THEIR ENDOMORPHISM SEMIGROUPS" @default.
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- W1965614372 doi "https://doi.org/10.1142/s0218196705002128" @default.
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