“p-Group”的概念、定义、习题解题方法及翻译-数学辞典

单词

p-Group

释义

p-Group

A Finite Group of Order for a Prime is called a -group. Sylow provedthat every Group of this form has a Power-commutator representation on generators defined by

(1)

for

and

(2)

for

. If

is Prime and

the number of Groups of order

, then

(3)

where

(4)

(Higman 1960a,b).

See also Finite Group

References

Higman, G. ``Enumerating -Groups. I. Inequalities.'' Proc. London Math. Soc. 10, 24-30, 1960a.

Higman, G. ``Enumerating -Groups. II. Problems Whose Solution is PORC.'' Proc. London Math. Soc. 10, 566-582, 1960b.

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