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Displaying similar documents to “Collineation groups of translation planes of small dimension.”

Groups where each element is conjugate to its certain power

Pál Hegedűs (2013)

Open Mathematics

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This paper deals with a rationality condition for groups. Let n be a fixed positive integer. Suppose every element g of the finite solvable group is conjugate to its nth power g n. Let p be a prime divisor of the order of the group. We conclude that the multiplicative order of n modulo p is small, or p is small.

m -parallelisms.

Johnson, Norman L., Pomareda, Rolando (2002)

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Simple group contain minimal simple groups.

Michael J. J. Barry, Michael B. Ward (1997)

Publicacions Matemàtiques

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It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple group.