Some Properties of p -Groups and Commutative p -Groups

Xiquan Liang; Dailu Li

Formalized Mathematics (2011)

  • Volume: 19, Issue: 1, page 11-15
  • ISSN: 1426-2630

Abstract

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This article describes some properties of p-groups and some properties of commutative p-groups.

How to cite

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Xiquan Liang, and Dailu Li. " Some Properties of p -Groups and Commutative p -Groups ." Formalized Mathematics 19.1 (2011): 11-15. <http://eudml.org/doc/267430>.

@article{XiquanLiang2011,
abstract = {This article describes some properties of p-groups and some properties of commutative p-groups.},
author = {Xiquan Liang, Dailu Li},
journal = {Formalized Mathematics},
keywords = {finite -groups},
language = {eng},
number = {1},
pages = {11-15},
title = { Some Properties of p -Groups and Commutative p -Groups },
url = {http://eudml.org/doc/267430},
volume = {19},
year = {2011},
}

TY - JOUR
AU - Xiquan Liang
AU - Dailu Li
TI - Some Properties of p -Groups and Commutative p -Groups
JO - Formalized Mathematics
PY - 2011
VL - 19
IS - 1
SP - 11
EP - 15
AB - This article describes some properties of p-groups and some properties of commutative p-groups.
LA - eng
KW - finite -groups
UR - http://eudml.org/doc/267430
ER -

References

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  1. [1] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. Zbl06213858
  2. [2] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. 
  3. [3] Rafał Kwiatek. Factorial and Newton coefficients. Formalized Mathematics, 1(5):887-890, 1990. 
  4. [4] Marco Riccardi. The Sylow theorems. Formalized Mathematics, 15(3):159-165, 2007, doi:10.2478/v10037-007-0018-3.[Crossref] 
  5. [5] Dariusz Surowik. Cyclic groups and some of their properties - part I. Formalized Mathematics, 2(5):623-627, 1991. 
  6. [6] Wojciech A. Trybulec. Classes of conjugation. Normal subgroups. Formalized Mathematics, 1(5):955-962, 1990. 
  7. [7] Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990. 
  8. [8] Wojciech A. Trybulec. Subgroup and cosets of subgroups. Formalized Mathematics, 1(5):855-864, 1990. 
  9. [9] Wojciech A. Trybulec. Commutator and center of a group. Formalized Mathematics, 2(4):461-466, 1991. 
  10. [10] Wojciech A. Trybulec. Lattice of subgroups of a group. Frattini subgroup. Formalized Mathematics, 2(1):41-47, 1991. 
  11. [11] Wojciech A. Trybulec and Michał J. Trybulec. Homomorphisms and isomorphisms of groups. Quotient group. Formalized Mathematics, 2(4):573-578, 1991. 
  12. [12] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 

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