List of LaTeX symbols in group theory
| Symbol | Command |
|---|---|
| $G \simeq H$ | G \simeq H |
| $G \cong H$ | G \cong H |
| Symbol | Command |
|---|---|
| $G \times H$ | G \times H |
| $G \rtimes H$ | G \rtimes H |
| $H \ltimes G$ | H \ltimes G |
| $G \wr H$ | G \wr H |
| Symbol | Command |
|---|---|
| $H \lt G$ | H \lt G |
| $H \le G$ | H \le G |
| $H \leq G$ | H \leq G |
| $G \gt H$ | G \gt H |
| $G \ge H$ | G \ge H |
| $G \geq H$ | G \geq H |
| Symbol | Command |
|---|---|
| $H \sub G$ | H \sub G |
| $H \subset G$ | H \subset G |
| $H \sube G$ | H \sube G |
| $H \subseteq G$ | H \subseteq G |
| $H \subseteqq G$ | H \subseteqq G |
| $G \supset H$ | G \supset H |
| $G \supe H$ | G \supe H |
| $G \supseteq H$ | G \supseteq H |
| $G \supseteqq H$ | G \supseteqq H |
| Symbol | Command |
|---|---|
| $H \subsetneq G$ | H \subsetneq G |
| $H \subsetneqq G$ | H \subsetneqq G |
| $G \supsetneq H$ | G \supsetneq H |
| $G \supsetneqq H$ | G \supsetneqq H |
| Symbol | Command |
|---|---|
| $U \cap V$ | U \cap V |
| $U \cup V$ | U \cup V |
| Symbol | Command |
|---|---|
| $G \rhd N$ | G \rhd N |
| $G \vartriangleright N$ | G \vartriangleright N |
| $G \unrhd N$ | G \unrhd N |
| $G \trianglerighteq N$ | G \trianglerighteq N |
| $G \ntriangleright N$ | G \ntriangleright N |
| $G \not\vartriangleright N$ | G \not\vartriangleright N |
| $G \ntrianglerighteq N$ | G \ntrianglerighteq N |
| $G \not\trianglerighteq N$ | G \not\trianglerighteq N |
| Symbol | Command |
|---|---|
| $N \lhd G$ | N \lhd G |
| $N \vartriangleleft G$ | N \vartriangleleft G |
| $N \unlhd G$ | N \unlhd G |
| $N \trianglelefteq G$ | N \trianglelefteq G |
| $N \ntriangleleft G$ | N \ntriangleleft G |
| $N \not\vartriangleleft G$ | N \not\vartriangleleft G |
| $N \ntrianglelefteq G$ | N \ntrianglelefteq G |
| $N \not\trianglelefteq G$ | N \not\trianglelefteq G |
| Symbol | Command |
|---|---|
| $a \sim b$ | a \sim b |
| $(G:H)$ | (G:H) |
| $G / N$ | G / N |
| $\N / n\N$ | \N / n\N |
| $(\N / n\N)^{\times}$ | (\N / n\N)^{\times} |
| $G / H \cap N$ | G / H \cap N |
| $\langle S \rangle$ | \langle S \rangle |
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