Computing maximal subgroups and Wyckoff positions of space groups

被引：8

作者：

Eick, B

Gahler, F

Nickel, W

机构：

[1] ECOLE POLYTECH, CTR PHYS THEOR, F-91128 PALAISEAU, FRANCE

[2] UNIV ST ANDREWS, SCH MATH & COMPUTAT SCI, ST ANDREWS KY16 9SS, FIFE, SCOTLAND

来源：

ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES | 1997年 / 53卷

关键词：

D O I：

10.1107/S0108767397003462

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

This paper describes algorithms for the computation of conjugacy classes of maximal subgroups and the Wyckoff positions of a space group. The algorithms are implemented in the computational group-theory system GAP and use existing standard functions of GAP as well as some simple but useful group-theoretical ideas.

引用

页码：467 / 474

页数：8

共 19 条

[1]

Brown H., 1978, Crystallographic groups of four-dimensional space

[2]

CANNON J, 1997, UNPUB

[3] SOME REMARKS ON THE COMPUTATION OF COMPLEMENTS AND NORMALIZERS IN SOLUBLE GROUPS [J].

CELLER, F ;

NEUBUSER, J ;

WRIGHT, CRB .

ACTA APPLICANDAE MATHEMATICAE, 1990, 21 (1-2) :57-76

[4]

Cohen H., 1993, Graduate Texts in Mathematics

[5]

EICK B, 1993, THESIS AACHEN AACHEN

[6] DERIVATION OF WYCKOFF POSITIONS OF N-DIMENSIONAL SPACE-GROUPS - THEORETICAL CONSIDERATIONS [J].

FUKSA, J ;

ENGEL, P .

ACTA CRYSTALLOGRAPHICA SECTION A, 1994, 50 :778-792

[7]

GRATIAS D, 1994, LECT QUASICRYSTALS

[8]

HAHN T, 1995, INT TABLES CRYSTALLO, VA

[9]

Hermann C, 1929, Z KRISTALLOGR, V69, P533

[10]

JANOT C, 1994, MONOGRAPHS PHYSICS C, V50

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